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How to Write an Introduction for a Case Study Report

How to Write an Introduction for a Case Study Report

If you’re looking for examples of how to write an introduction for a case-study report, you’ve come to the right place. Here you’ll find a sample, guidelines for writing a case-study introduction, and tips on how to make it clear. In five minutes or less, recruiters will read your case study and decide whether you’re a good fit for the job.

Example of a case study introduction

An example of a case study introduction should be written to provide a roadmap for the reader. It should briefly summarize the topic, identify the problem, and discuss its significance. It should include previous case studies and summarize the literature review. In addition, it should include the purpose of the study, and the issues that it addresses. Using this example as a guideline, writers can make their case study introductions. Here are some tips:

The first paragraph of the introduction should summarize the entire article, and should include the following sections: the case presentation, the examinations performed, and the working diagnosis, the management of the case, and the outcome. The final section, the discussion, should summarize the previous subsections, explain any apparent inconsistencies, and describe the lessons learned. The body of the paper should also summarize the introduction and include any notes for the instructor.

The last section of a case study introduction should summarize the findings and limitations of the study, as well as suggestions for further research. The conclusion section should restate the thesis and main findings of the case study. The conclusion should summarize previous case studies, summarize the findings, and highlight the possibilities for future study. It is important to note that not all educational institutions require the case study analysis format, so it is important to check ahead of time.

The introductory paragraph should outline the overall strategy for the study. It should also describe the short-term and long-term goals of the case study. Using this method will ensure clarity and reduce misunderstandings. However, it is important to consider the end goal. After all, the objective is to communicate the benefits of the product. And, the solution should be measurable. This can be done by highlighting the benefits and minimizing the negatives.

Structure of a case study introduction

The structure of a case study introduction is different from the general introduction of a research paper. The main purpose of the introduction is to set the stage for the rest of the case study. The problem statement must be short and precise to convey the main point of the study. Then, the introduction should summarize the literature review and present the previous case studies that have dealt with the topic. The introduction should end with a thesis statement.

The thesis statement should contain facts and evidence related to the topic. Include the method used, the findings, and discussion. The solution section should describe specific strategies for solving the problem. It should conclude with a call to action for the reader. When using quotations, be sure to cite them properly. The thesis statement must include the problem statement, the methods used, and the expected outcome of the study. The conclusion section should state the case study’s importance.

In the discussion section, state the limitations of the study and explain why they are not significant. In addition, mention any questions unanswered and issues that the study was unable to address. For more information, check out the APA, Harvard, Chicago, and MLA citation styles. Once you know how to structure a case study introduction, you’ll be ready to write it! And remember, there’s always a right and wrong way to write a case study introduction.

During the writing process, you’ll need to make notes on the problems and issues of the case. Write down any ideas and directions that come to mind. Avoid writing neatly. It may impede your creative process, so write down a rough draft first, and then draw it up for your educational instructor. The introduction is an overview of the case study. Include the thesis statement. If you’re writing a case study for an assignment, you’ll also need to provide an overview of the assignment.

Guidelines for writing a case study introduction

A case study is not a formal scientific research report, but it is written for a lay audience. It should be readable and follow the general narrative that was determined in the first step. The introduction should provide background information about the case and its main topic. It should be short, but should introduce the topic and explain its context in just one or two paragraphs. An ideal case study introduction is between three and five sentences.

The case study must be well-designed and logical. It cannot contain opinions or assumptions. The research question must be a logical conclusion based on the findings. This can be done through a spreadsheet program or by consulting a linguistics expert. Once you have identified the major issues, you need to revise the paper. Once you have revised it twice, it should be well-written, concise, and logical.

The conclusion should state the findings, explain their significance, and summarize the main points. The conclusion should move from the detailed to the general level of consideration. The conclusion should also briefly state the limitations of the case study and point out the need for further research in order to fully address the problem. This should be done in a manner that will keep the reader interested in reading the paper. It should be clear about what the case study found and what it means for the research community.

The case study begins with a cover page and an executive summary, depending on your professor’s instructions. It’s important to remember that this is not a mandatory element of the case study. Instead, the executive summary should be brief and include the key points of the study’s analysis. It should be written as if an executive would read it on the run. Ultimately, the executive summary should include all the key points of the case study.

Clarity in a case study introduction

Clarity in a case study introduction should be at the heart of the paper. This section should explain why the case was chosen and how you decided to use it. The case study introduction varies according to the type of subject you are studying and the goals of the study. Here are some examples of clear and effective case study introductions. Read on to find out how to write a successful one. Clarity in a case study introduction begins with a strong thesis statement and ends with a compelling conclusion.

The conclusion of the case study should restate the research question and emphasize its importance. Identify and restate the key findings and describe how they address the research question. If the case study has limitations, discuss the potential for further research. In addition, document the limitations of the case study. Include any limitations of the case study in the conclusion. This will allow readers to make informed decisions about whether or not the findings are relevant to their own practices.

A case study introduction should include a brief discussion of the topic and selected case. It should explain how the study fits into current knowledge. A reader may question the validity of the analysis if it fails to consider all possible outcomes. For example, a case study on railroad crossings may fail to document the obvious outcome of improving the signage at these intersections. Another example would be a study that failed to document the impact of warning signs and speed limits on railroad crossings.

As a conclusion, the case study should also contain a discussion of how the research was conducted. While it may be a case study, the results are not necessarily applicable to other situations. In addition to describing how a solution has solved the problem, a case study should also discuss the causes of the problem. A case study should be based on real data and information. If the case study is not valid, it will not be a good fit for the audience.

Sample of a case study introduction

A good case study introduction serves as a map for the reader to follow. It should identify the research problem and discuss its significance. It should be based on extensive research and should incorporate relevant issues and facts. For example, it may include a short but precise problem statement. The next section of the introduction should include a description of the solution. The final part of the introduction should conclude with the recommended action. Once the reader has a sense of the direction the study will take, they will feel confident in pursuing the study further.

In the case of social sciences, case studies cannot be purely empirical. The results of a case study can be compared with those of other studies, so that the case study’s findings can be assessed against previous research. A case study’s results can help support general conclusions and build theories, while their practical value lies in generating hypotheses. Despite their utility, case studies often contain a bias toward verification and tend to confirm the researcher’s preconceived notions.

In the case of case studies, the conclusions section should state the significance of the findings, stating how the findings of the study differ from other previous studies. Likewise, the conclusion section should summarize the key findings, and make the reader understand how they address the research problem. In the case of a case study, it is crucial to document any limitations that have been identified. After all, a case study is not complete without further research.

After the introduction, the main body of the paper is the case presentation. It should provide information about the case, such as the history, examination results, working diagnosis, management, and outcome. It should conclude with a discussion, explaining the correlations, apparent inconsistencies, and lessons learned. Finally, the conclusion should state whether the case study presented the results in the desired way. The findings should not be overgeneralized, and the conclusions must be derived from this information.

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How to write a case study — examples, templates, and tools

How to write a case study — examples, templates, and tools marquee

It’s a marketer’s job to communicate the effectiveness of a product or service to potential and current customers to convince them to buy and keep business moving. One of the best methods for doing this is to share success stories that are relatable to prospects and customers based on their pain points, experiences, and overall needs.

That’s where case studies come in. Case studies are an essential part of a content marketing plan. These in-depth stories of customer experiences are some of the most effective at demonstrating the value of a product or service. Yet many marketers don’t use them, whether because of their regimented formats or the process of customer involvement and approval.

A case study is a powerful tool for showcasing your hard work and the success your customer achieved. But writing a great case study can be difficult if you’ve never done it before or if it’s been a while. This guide will show you how to write an effective case study and provide real-world examples and templates that will keep readers engaged and support your business.

In this article, you’ll learn:

What is a case study?

How to write a case study, case study templates, case study examples, case study tools.

A case study is the detailed story of a customer’s experience with a product or service that demonstrates their success and often includes measurable outcomes. Case studies are used in a range of fields and for various reasons, from business to academic research. They’re especially impactful in marketing as brands work to convince and convert consumers with relatable, real-world stories of actual customer experiences.

The best case studies tell the story of a customer’s success, including the steps they took, the results they achieved, and the support they received from a brand along the way. To write a great case study, you need to:

  • Celebrate the customer and make them — not a product or service — the star of the story.
  • Craft the story with specific audiences or target segments in mind so that the story of one customer will be viewed as relatable and actionable for another customer.
  • Write copy that is easy to read and engaging so that readers will gain the insights and messages intended.
  • Follow a standardized format that includes all of the essentials a potential customer would find interesting and useful.
  • Support all of the claims for success made in the story with data in the forms of hard numbers and customer statements.

Case studies are a type of review but more in depth, aiming to show — rather than just tell — the positive experiences that customers have with a brand. Notably, 89% of consumers read reviews before deciding to buy, and 79% view case study content as part of their purchasing process. When it comes to B2B sales, 52% of buyers rank case studies as an important part of their evaluation process.

Telling a brand story through the experience of a tried-and-true customer matters. The story is relatable to potential new customers as they imagine themselves in the shoes of the company or individual featured in the case study. Showcasing previous customers can help new ones see themselves engaging with your brand in the ways that are most meaningful to them.

Besides sharing the perspective of another customer, case studies stand out from other content marketing forms because they are based on evidence. Whether pulling from client testimonials or data-driven results, case studies tend to have more impact on new business because the story contains information that is both objective (data) and subjective (customer experience) — and the brand doesn’t sound too self-promotional.

89% of consumers read reviews before buying, 79% view case studies, and 52% of B2B buyers prioritize case studies in the evaluation process.

Case studies are unique in that there’s a fairly standardized format for telling a customer’s story. But that doesn’t mean there isn’t room for creativity. It’s all about making sure that teams are clear on the goals for the case study — along with strategies for supporting content and channels — and understanding how the story fits within the framework of the company’s overall marketing goals.

Here are the basic steps to writing a good case study.

1. Identify your goal

Start by defining exactly who your case study will be designed to help. Case studies are about specific instances where a company works with a customer to achieve a goal. Identify which customers are likely to have these goals, as well as other needs the story should cover to appeal to them.

The answer is often found in one of the buyer personas that have been constructed as part of your larger marketing strategy. This can include anything from new leads generated by the marketing team to long-term customers that are being pressed for cross-sell opportunities. In all of these cases, demonstrating value through a relatable customer success story can be part of the solution to conversion.

2. Choose your client or subject

Who you highlight matters. Case studies tie brands together that might otherwise not cross paths. A writer will want to ensure that the highlighted customer aligns with their own company’s brand identity and offerings. Look for a customer with positive name recognition who has had great success with a product or service and is willing to be an advocate.

The client should also match up with the identified target audience. Whichever company or individual is selected should be a reflection of other potential customers who can see themselves in similar circumstances, having the same problems and possible solutions.

Some of the most compelling case studies feature customers who:

  • Switch from one product or service to another while naming competitors that missed the mark.
  • Experience measurable results that are relatable to others in a specific industry.
  • Represent well-known brands and recognizable names that are likely to compel action.
  • Advocate for a product or service as a champion and are well-versed in its advantages.

Whoever or whatever customer is selected, marketers must ensure they have the permission of the company involved before getting started. Some brands have strict review and approval procedures for any official marketing or promotional materials that include their name. Acquiring those approvals in advance will prevent any miscommunication or wasted effort if there is an issue with their legal or compliance teams.

3. Conduct research and compile data

Substantiating the claims made in a case study — either by the marketing team or customers themselves — adds validity to the story. To do this, include data and feedback from the client that defines what success looks like. This can be anything from demonstrating return on investment (ROI) to a specific metric the customer was striving to improve. Case studies should prove how an outcome was achieved and show tangible results that indicate to the customer that your solution is the right one.

This step could also include customer interviews. Make sure that the people being interviewed are key stakeholders in the purchase decision or deployment and use of the product or service that is being highlighted. Content writers should work off a set list of questions prepared in advance. It can be helpful to share these with the interviewees beforehand so they have time to consider and craft their responses. One of the best interview tactics to keep in mind is to ask questions where yes and no are not natural answers. This way, your subject will provide more open-ended responses that produce more meaningful content.

4. Choose the right format

There are a number of different ways to format a case study. Depending on what you hope to achieve, one style will be better than another. However, there are some common elements to include, such as:

  • An engaging headline
  • A subject and customer introduction
  • The unique challenge or challenges the customer faced
  • The solution the customer used to solve the problem
  • The results achieved
  • Data and statistics to back up claims of success
  • A strong call to action (CTA) to engage with the vendor

It’s also important to note that while case studies are traditionally written as stories, they don’t have to be in a written format. Some companies choose to get more creative with their case studies and produce multimedia content, depending on their audience and objectives. Case study formats can include traditional print stories, interactive web or social content, data-heavy infographics, professionally shot videos, podcasts, and more.

5. Write your case study

We’ll go into more detail later about how exactly to write a case study, including templates and examples. Generally speaking, though, there are a few things to keep in mind when writing your case study.

  • Be clear and concise. Readers want to get to the point of the story quickly and easily, and they’ll be looking to see themselves reflected in the story right from the start.
  • Provide a big picture. Always make sure to explain who the client is, their goals, and how they achieved success in a short introduction to engage the reader.
  • Construct a clear narrative. Stick to the story from the perspective of the customer and what they needed to solve instead of just listing product features or benefits.
  • Leverage graphics. Incorporating infographics, charts, and sidebars can be a more engaging and eye-catching way to share key statistics and data in readable ways.
  • Offer the right amount of detail. Most case studies are one or two pages with clear sections that a reader can skim to find the information most important to them.
  • Include data to support claims. Show real results — both facts and figures and customer quotes — to demonstrate credibility and prove the solution works.

6. Promote your story

Marketers have a number of options for distribution of a freshly minted case study. Many brands choose to publish case studies on their website and post them on social media. This can help support SEO and organic content strategies while also boosting company credibility and trust as visitors see that other businesses have used the product or service.

Marketers are always looking for quality content they can use for lead generation. Consider offering a case study as gated content behind a form on a landing page or as an offer in an email message. One great way to do this is to summarize the content and tease the full story available for download after the user takes an action.

Sales teams can also leverage case studies, so be sure they are aware that the assets exist once they’re published. Especially when it comes to larger B2B sales, companies often ask for examples of similar customer challenges that have been solved.

Now that you’ve learned a bit about case studies and what they should include, you may be wondering how to start creating great customer story content. Here are a couple of templates you can use to structure your case study.

Template 1 — Challenge-solution-result format

  • Start with an engaging title. This should be fewer than 70 characters long for SEO best practices. One of the best ways to approach the title is to include the customer’s name and a hint at the challenge they overcame in the end.
  • Create an introduction. Lead with an explanation as to who the customer is, the need they had, and the opportunity they found with a specific product or solution. Writers can also suggest the success the customer experienced with the solution they chose.
  • Present the challenge. This should be several paragraphs long and explain the problem the customer faced and the issues they were trying to solve. Details should tie into the company’s products and services naturally. This section needs to be the most relatable to the reader so they can picture themselves in a similar situation.
  • Share the solution. Explain which product or service offered was the ideal fit for the customer and why. Feel free to delve into their experience setting up, purchasing, and onboarding the solution.
  • Explain the results. Demonstrate the impact of the solution they chose by backing up their positive experience with data. Fill in with customer quotes and tangible, measurable results that show the effect of their choice.
  • Ask for action. Include a CTA at the end of the case study that invites readers to reach out for more information, try a demo, or learn more — to nurture them further in the marketing pipeline. What you ask of the reader should tie directly into the goals that were established for the case study in the first place.

Template 2 — Data-driven format

  • Start with an engaging title. Be sure to include a statistic or data point in the first 70 characters. Again, it’s best to include the customer’s name as part of the title.
  • Create an overview. Share the customer’s background and a short version of the challenge they faced. Present the reason a particular product or service was chosen, and feel free to include quotes from the customer about their selection process.
  • Present data point 1. Isolate the first metric that the customer used to define success and explain how the product or solution helped to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
  • Present data point 2. Isolate the second metric that the customer used to define success and explain what the product or solution did to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
  • Present data point 3. Isolate the final metric that the customer used to define success and explain what the product or solution did to achieve this goal. Provide data points and quotes to substantiate the claim that success was achieved.
  • Summarize the results. Reiterate the fact that the customer was able to achieve success thanks to a specific product or service. Include quotes and statements that reflect customer satisfaction and suggest they plan to continue using the solution.
  • Ask for action. Include a CTA at the end of the case study that asks readers to reach out for more information, try a demo, or learn more — to further nurture them in the marketing pipeline. Again, remember that this is where marketers can look to convert their content into action with the customer.

While templates are helpful, seeing a case study in action can also be a great way to learn. Here are some examples of how Adobe customers have experienced success.

Juniper Networks

One example is the Adobe and Juniper Networks case study , which puts the reader in the customer’s shoes. The beginning of the story quickly orients the reader so that they know exactly who the article is about and what they were trying to achieve. Solutions are outlined in a way that shows Adobe Experience Manager is the best choice and a natural fit for the customer. Along the way, quotes from the client are incorporated to help add validity to the statements. The results in the case study are conveyed with clear evidence of scale and volume using tangible data.

A Lenovo case study showing statistics, a pull quote and featured headshot, the headline "The customer is king.," and Adobe product links.

The story of Lenovo’s journey with Adobe is one that spans years of planning, implementation, and rollout. The Lenovo case study does a great job of consolidating all of this into a relatable journey that other enterprise organizations can see themselves taking, despite the project size. This case study also features descriptive headers and compelling visual elements that engage the reader and strengthen the content.

Tata Consulting

When it comes to using data to show customer results, this case study does an excellent job of conveying details and numbers in an easy-to-digest manner. Bullet points at the start break up the content while also helping the reader understand exactly what the case study will be about. Tata Consulting used Adobe to deliver elevated, engaging content experiences for a large telecommunications client of its own — an objective that’s relatable for a lot of companies.

Case studies are a vital tool for any marketing team as they enable you to demonstrate the value of your company’s products and services to others. They help marketers do their job and add credibility to a brand trying to promote its solutions by using the experiences and stories of real customers.

When you’re ready to get started with a case study:

  • Think about a few goals you’d like to accomplish with your content.
  • Make a list of successful clients that would be strong candidates for a case study.
  • Reach out to the client to get their approval and conduct an interview.
  • Gather the data to present an engaging and effective customer story.

Adobe can help

There are several Adobe products that can help you craft compelling case studies. Adobe Experience Platform helps you collect data and deliver great customer experiences across every channel. Once you’ve created your case studies, Experience Platform will help you deliver the right information to the right customer at the right time for maximum impact.

To learn more, watch the Adobe Experience Platform story .

Keep in mind that the best case studies are backed by data. That’s where Adobe Real-Time Customer Data Platform and Adobe Analytics come into play. With Real-Time CDP, you can gather the data you need to build a great case study and target specific customers to deliver the content to the right audience at the perfect moment.

Watch the Real-Time CDP overview video to learn more.

Finally, Adobe Analytics turns real-time data into real-time insights. It helps your business collect and synthesize data from multiple platforms to make more informed decisions and create the best case study possible.

Request a demo to learn more about Adobe Analytics.

https://business.adobe.com/blog/perspectives/b2b-ecommerce-10-case-studies-inspire-you

https://business.adobe.com/blog/basics/business-case

https://business.adobe.com/blog/basics/what-is-real-time-analytics

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Your Step-By-Step Guide To Writing a Case Study

David Costello

Creating a case study is both an art and a science. It requires making an in-depth exploration of your chosen subject in order to extract meaningful insights and understand the dynamics that more general surveys or statistical research might not uncover. At the same time, your case study also needs to be a compelling read to ensure those insights get attention from other people!

Unsurprisingly, the prospect of crafting an effective case study can be daunting. It calls for strategic planning, careful organization, and clear communication, all of which can be challenging even for experienced researchers. That's why we've created this step-by-step guide, which breaks the process down into manageable steps, demystifying the journey from defining your research question to sharing your findings. Whether you're a seasoned researcher or a first-timer, this guide aims to equip you with the necessary tools and tips to create a case study that's not just informative, but also engaging and impactful.

Are you ready to unlock the potential of case studies? Let's dive in!

What is a case study?

A woman checking a graph

First, it's important to understand what a case study is – and what it isn't.

A case study is a thorough exploration of a specific subject or event over a certain time frame. Case studies are utilized in numerous fields, including sociology, psychology, education, anthropology, business, and the health sciences, and employ various research techniques to shed light on complex issues.

A case study does not provide absolute proof or conclusions that can be universally applied. Because it concentrates on one particular case or just a few cases, the findings might not apply to different contexts or subjects. Case studies also aren't ideal for determining cause-and-effect relationships as they do not use controlled conditions to separate and measure the impacts of different factors. Lastly, it must be said that a case study isn't just a random assortment of facts or observations; it necessitates a clear research question, a methodical approach to data collection and analysis, and a thoughtful interpretation of the results.

Getting started

Library

Now that we've established the definition and purpose of a case study, let's explore the process by which one is created. You can produce a case study by following these nine steps:

1. Define the purpose of your case study

Before you start writing a case study, you need to define its purpose clearly. Ask yourself: What is the research question or problem you aim to solve? What insights are you looking to uncover? Your goals will guide your research design and influence your choice of case. This initial stage of introspection and clarification is crucial as it acts as a roadmap for your study.

2. Select the case to study

Once you've defined your research objective, the next step is to choose a suitable case that can help answer your research question. This might be a unique, critical, or representative instance. Unique cases offer the opportunity to observe and analyze a situation that is unusual or not well-understood. In contrast, a representative or typical case is often chosen because it represents other cases or a broader phenomenon.

In any case, be sure to justify your choice. Explain why the case is of interest and how it can contribute to the knowledge or understanding of the issue at hand. For instance, if you're studying the effects of corporate restructuring on employee morale, you might choose to focus on a company that recently underwent a significant restructure.

3. Conduct a thorough literature review

Performing a literature review involves a careful examination of relevant scholarly articles, books, and other sources related to your research question or problem. In the process, you identify gaps in the current knowledge and determine how your case study can address them. By critically examining existing research, you will not only gain a comprehensive understanding of your chosen topic but also be able to refine your research question or hypothesis, if necessary.

4. Choose a methodological approach

The methodological approach used in your case study will depend on your research objectives and the nature of the case. Methodologies that can be employed in case studies include qualitative, quantitative, and mixed methods .

Qualitative methods are often used when the goal is to explore, understand, or interpret certain phenomena. These involve approaches like interviews, focus groups, or ethnography. Quantitative methods, on the other hand, are used when the goal is to test hypotheses or examine relationships between variables. Quantitative approaches often include experiments. Also, surveys may be either qualitative or quantitative depending on the question design.

You may choose to use a combination of qualitative and quantitative methods (mixed methods) if it suits your research objectives.

5. Collect and organize your data

Data collection should be systematic and organized to maintain the integrity and reliability of your research. You need to plan how you will record and store your data to ensure that it's accessible and usable.

If you're conducting interviews or observations, consider using recording devices (with participant consent) to capture the data accurately. In addition, you may want to transcribe the recorded material for easier analysis. If you're using documents or archival records, develop a system for coding and categorizing the data.

6. Analyze the data

Analysis involves interpreting your data to draw out meaningful insights; it is in this stage that your findings start to take shape. Depending on the nature of your data and your research question, you might use any of a variety of analysis methods. For qualitative data, you might employ thematic analysis to identify key themes or grounded theory to generate a new theoretical framework. For quantitative data, you might use statistical analysis to identify patterns or correlations.

Always be open to unexpected findings. Your initial hypotheses might not be supported, or you might uncover new insights that you hadn't initially considered. Remember that all data, whether they fit neatly into your analysis or not, provide valuable insights and contribute to the holistic understanding of your case.

7. Write the case study report

After analyzing the data, it's finally time to compose your case study. In terms of structure, a typical case study might consist of an introduction, background information, the collected data (results), analysis of that data, and the conclusion. Here's a brief breakdown of each section:

  • Introduction: The introduction should be brief but engaging, providing a clear statement of the research question or problem, explaining why the case was chosen, and outlining what the case study will cover.
  • Background: The background provides the context for your case. Describe the case, its history, and any relevant information that will help readers understand the situation.
  • Results: This section should provide a comprehensive account of what you found, without interpretation or opinion. Present your findings in a clear, organized manner. Use visuals such as charts or graphs if they aid comprehension.
  • Analysis: This section should provide your interpretations and arguments. Discuss the patterns, themes, or relationships you've identified in your data. Explain what these findings mean in relation to your research question.
  • Conclusion: Finally, summarize the key insights from your case study along with their implications. Discuss the limitations of your study and propose avenues for future research.

8. Review and revise

The process of writing a case study doesn't actually end when the report is written; you also need to review your writing for coherence, clarity, and correctness. Don't underestimate the importance of this step! Make sure the information flows logically and that your arguments are well-supported. Check for any grammar or spelling errors. Having a peer or mentor review your work can be incredibly helpful as they provide a fresh perspective and can catch mistakes you might have missed.

9. Get approval if required

If your case study involves human subjects, you may need to obtain approval from an ethical review board. You'll also need to obtain informed consent from your subjects and ensure you respect their privacy and confidentiality throughout the research process. Always follow your institution's ethical guidelines and any other relevant legislation .

Practical tips for writing a compelling case study

A woman writing

Getting through all those steps can feel like a formidable challenge, but here are some practical tips to make the process more manageable:

Be systematic and organized

Given the importance of detail in case studies, it's vital to be systematic and organized from the get-go. This means keeping meticulous records of your data, your sources, and any changes to your research design. A good practice is to maintain a research journal or log where you can record your process, thoughts, and reflections.

In addition, use technology to your advantage. Digital tools like citation managers can help you keep track of your sources and make formatting references a breeze, while spreadsheet or database software can assist in managing and organizing your data. Developing a consistent system for labeling and storing information at the outset will save you time and effort later when you need to retrieve data for analysis.

Stay focused

One common pitfall in research and writing is loss of focus: getting sidetracked by interesting but ultimately irrelevant digressions, which can be very easy, especially when you're dealing with a rich and complex case. Always remember your research question and objectives, and let these guide your study at every step. It's perfectly acceptable – and in fact advisable – to delineate what your study will not cover. Setting clear boundaries can help you stay focused and manage the scope of your study effectively.

Use visual aids

Visual aids such as charts, diagrams, or photographs can greatly enhance your case study. They provide readers with a break from the monotony of text and can communicate complex data or relationships more easily. For instance, if you're presenting a lot of numerical data, consider using a chart or graph. If you're describing a process or sequence of events, portraying it in a flowchart or timeline might be useful. Remember, the goal is to aid comprehension, so make sure your visual aids are clear, well-labeled, and integrated into the text.

Include direct quotes

If your case study involves interviews, including direct quotes can add depth and a sense of the personal to your findings. They provide readers with a firsthand perspective and make your case study more engaging.

When using quotes, be sure to integrate them smoothly into your text. Provide enough context so readers understand the quote's relevance. Also, remember to adhere to ethical guidelines– always respect confidentiality and anonymity agreements.

Maintain ethical standards

Ethics is a fundamental consideration in all research, including case studies. Ensure you have proper consent from participants, respect their privacy, and accurately present your findings without manipulation.

Misrepresenting data or failing to respect participants' rights can lead to serious ethical violations. Always follow your institution's ethical guidelines and any other relevant legislation. If in doubt, seek advice from a supervisor or your institution's ethics committee.

Acknowledge limitations

Every research study has limitations, which could relate to the research design, data collection methods, or other aspects of the study. Being transparent about the limitations of your study can enhance its credibility; moreover, not only does identifying limitations demonstrate your critical thinking and honesty, but it also helps readers accurately interpret your findings.

Finally, acknowledging the limitations of your work helps to set the stage for further research. By identifying aspects that your study couldn't address, you provide other researchers with avenues for building on your findings.

Learn from examples

Before you start writing your case study, it can be helpful to review some published case studies in your field. Different fields may have different conventions, and familiarizing yourself with case studies in your own field can help guide your writing. Look at the structure, tone, and style. Pay attention to how the authors present and analyze data, and how they link their findings back to the research question. You can also learn a lot from the strengths and weaknesses of previously published works. However, remember to develop your own unique voice and perspective – don't just mimic what others have done.

Design for triangulation

Triangulation involves using multiple data sources or methods to gain a more comprehensive and balanced understanding of your research topic. By coming at your research question from multiple directions, such as by examining different datasets or using different methods, you can increase the validity of your results and gain more nuanced insights.

For example, if you're studying the impact of a new teaching method in a school, you might observe classes, interview teachers, and also survey students. Each method will provide a slightly different perspective, and together, they allow you to develop a more complete picture of the teaching method's impact.

Practice reflexivity

Reflexivity involves reflecting on how your assumptions, values, or experiences might influence your research process and interpretations. As a researcher, it's essential to be aware of your potential biases and how they might shape your study.

Consider keeping a reflexivity journal where you can note your thoughts, feelings, and reflections throughout the research process. This practice can help you stay aware of your biases and ensure your research is as objective and balanced as possible.

Write for your audience

Always make sure that your writing is on target for your intended audience. If you're writing for an academic audience, for example, you'll likely use a more formal tone and include more detailed methodological information. If you're writing for practitioners or a general audience, you might use a more accessible language and focus more on practical implications.

Remember to define any technical terms or jargon, and provide sufficient context so your readers can understand your research. The goal is to communicate your findings effectively, regardless of who your readers are.

Seek feedback

Feedback is valuable for improving your case study. Consider sharing drafts with your peers, mentors, or supervisors and asking for their input. Fresh eyes can provide different perspectives, catch errors, or suggest ways to strengthen your arguments.

Remember, feedback is not personal; it's about improving your work. Be open to critique and willing to revise your work based on the feedback you receive.

Writing a case study is a meticulous process that requires clear purpose, careful planning, systematic data collection, and thoughtful analysis. Although it can be time-consuming, the rich, detailed insights a well-executed case study can provide make this study design an invaluable tool in research.

By following this guide and adopting its practical tips, you will be well on your way to crafting a compelling case study that contributes meaningful insights to your chosen field. Good luck with your research journey!

Header image by Kateryna Hliznitsova .

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case study

How to Write a Case Study: Step-by-Step Guide with Examples

  • October 7, 2022

Written by Alexandra

Content Manager at SocialBee

Why is learning how to write a case study so important?

Well, because it provides your customers with social proof and supporting evidence of how effective your products and services are. Moreover, it eliminates the doubt that usually makes clients give up on their next purchase.

That is why today we are going to talk about the step-by-step process of writing a case study . We prepared five business case study examples guaranteed to inspire you throughout the process.

Let’s get started!

What Is a Case Study?

A case study is a piece of content that focuses on a case from your business history. It describes the problems your client faced and the solutions you used to help them succeed.

The goal of a writing case study is to promote your business , so your aim should be to put together a compelling story with evidence that backs up all your claims.

Case studies use real-life examples to show your clients the quality and effectiveness of your products and services. It’s a marketing tool that provides credibility and it helps your potential clients gain confidence in your brand.

Case studies can be structured in different formats:

  • A written document
  • An infographic
  • A blog post
  • A landing page

Case Study Benefits

A great case study makes your potential customers want to benefit from the products and services that helped your client overcome their challenges. 

Here are the benefits of writing a case study:

  • It is an affordable marketing practice
  • It decreases the perceived risk of your potential clients
  • It provides transparency
  • It builds trust and credibility among prospective customers
  • It makes your potential clients relate to the problem
  • It provides your potential clients with a solution for their problems

How to Write a Case Study

Now that you know what a case study is, let’s get into the real reason why you are here — learning how to write an in-depth study.

Here is the step-by-step process of writing a case study:

  • Identify the topic of your case study
  • Start collaborating with a client
  • Prepare questions for the interview
  • Conduct the case study interview
  • Structure your case study 
  • Make it visual

Step 1: Identify the Topic of Your Case Study

A case study starts with a strategy. Choosing what you want to write about should be closely related to your business needs. More specifically, what service or product do you want to promote through your case study?

Because case studies focus on client challenges, business solutions, and results, you have to carefully pick the case that your potential clients will relate to the most. 

To communicate the benefits of your business, you should focus on a customer story that appeals to a specific segment of your audience . Consequently, you will target clients that relate to your customer example while providing a solution for their needs and pain points — your products and services.

Start by focusing all your research methods on identifying your customers’ main pain points. Then find examples of how your products or services have helped them overcome their challenges and achieve their goals .

Furthermore, to make sure you choose the best case study topic for your buyer persona , you should have a meeting with your sales/customer service team. Because they are in close contact with your customers, they will be able to tell you:

  • The main challenges your clients face 
  • The services/products that bring them the best results 

These are the main two pieces of information you want your case study to focus on.

Step 2: Start Collaborating with a Client

With a clear topic in mind, you have to find the best fit for your case study. 

However, that is not all. First, you must obtain the client’s permission. After all, your business story is theirs too.

So, craft an email to provide your client with an overview of the case study. This will help them make a decision. 

Your message should include:

  • The case study format (video, written, etc.) and where it will be published (blog, landing page , etc.)
  • The topic of the document
  • The timeline of the process
  • The information that will be included
  • The benefits they get as a result of this collaboration (brand exposure, backlinks)

Additionally, you can offer to schedule a call or a meeting to answer all their questions and curiosities and provide a means for clear and open communication.

Once you receive a positive response from your client, you can continue with the next step of the process: the actual interview.

PRO TIP: A great way to ensure a smooth and safe collaboration between you and your client is to sign a legal release form before writing the case study. This will allow you to use their information and protect you from issues that may occur in the future. Moreover, if the client is not comfortable with revealing their identity, you can always offer them anonymity.

Step 3: Prepare Questions for the Interview

Now that you have the subject for your case study, it’s time to write and organize your interview in several sets of questions.

Don’t forget that the whole structure of your case study is based on the information you get from your customer interview.

So pay attention to the way you phrase the questions. After all, your goal is to gather all the data you need to avoid creating a back-and-forth process that will consume your client’s time and energy.

To help you create the best questionnaire, we created a set of case study questions and organized them into different categories. 

Here are the five main sections your case study interview should contain:

  • The client’s background information
  • The problem
  • The start of the collaboration
  • The solution
  • The results

A. The Client’s Background Information

This part of the case study interview must give a comprehensive look into your customer’s business and allow your readers to get to know them better.

Here are some question ideas:

B. The Problem

Now it’s time to get into the reason your client came to you for assistance, the initial challenge that triggered your collaboration.

In this part of the interview process, you want to find out what made them ask for help and what was their situation before working with you.

You can ask your client the following case study questions:

C. The Start of the Collaboration

This part of the case study interview will focus on the process that made your collaboration possible. More specifically, how did your client research possible collaboration opportunities, and why they chose your business? 

This information will not only be informative for your future customers but will also give you a behind-the-scenes look into their decision-making process.

D. The Solution

It’s time to get into one of the most significant parts of the case study interview — the solution. Here you should discuss how your services have helped their business recover from the problems mentioned before.

Make sure you ask the right questions so you can really paint the picture of a satisfied customer.

Have a look at these question examples:

E. The Results

The best proof you can give to your customers is through your results. And this is the perfect opportunity to let your actions speak for themselves.

Unlike the other marketing strategies you use to promote your business, the content is provided by your customer, not by your team. As a result, you end up with a project that is on another level of reliability.

Here is how you can ask your client about their results:

Step 4: Conduct the Case Study Interview

Now that you have a great set of case study questions, it’s time to put them to good use.

Decide on the type of interview you want to conduct: face-to-face, video call , or phone call. Then, consult with your client and set up a date and a time when you are both available. 

It should be noted that during the interview it’s best to use a recording device for accuracy. Maybe you don’t have time to write down all the information, and you forget important details. Or maybe you want to be focused more on the conversational aspect of the interview, and you don’t want to write anything down while it’s happening.

Step 5: Structure Your Case Study 

The hard part is over. Now it’s time to organize all the information you gathered in an appealing format. Let’s have a look at what your case study should contain.

Here are the components of a case study:

  • Engaging title
  • Executive summary
  • Client description 
  • Introduction to the problem
  • The problem-solving process
  • Progress and results

A. Engaging Title

Putting that much work into a project, it would be a shame not to do your best to attract more readers. So, take into consideration that you only have a few seconds to catch your audience’s attention. 

You can also use a headline analyzer to evaluate the performance of your title.

The best case study titles contain:

  • Relevant keywords
  • Customer pain points
  • Clear result

Case study example :

how to make a introduction in case study

B. Executive Summary

Your executive summary should include a thesis statement that sums up the main points of your case study. Therefore, it must be clear and concise. Moreover, to make your audience curious, you can add a statistic or a relevant piece of data that they might be interested in.

Here is what you should include in your executive summary:

  • The business you are writing about (only if the clients wants to make themselves known)
  • Relevant statistics

how to make a introduction in case study

C. Client Description 

Here is where you start to include the information you gained from your interview. Provide your readers with a clear picture of your client and create a context for your case study.

Take your client’s answers from the “Client Background” section of the interview and present them in a more appealing format.

how to make a introduction in case study

D. Introduction to the Problem

In this section, use your client’s interview answers to write about the problem they were experiencing before working with you.

Remember to be specific because you want your audience to fully understand the situation and relate to it. At the end of the day, the goal of the case study is to show your potential customers why they should buy your services/products.

how to make a introduction in case study

E. The Problem-Solving Process

Next, explain how your service/product helped your client overcome their problems. Moreover, let your readers know how and why your service/product worked in their case.

In this part of the case study, you should summarize: 

  • The strategy used to solve the problem of your customer 
  • The process of implementing the solution 

how to make a introduction in case study

F. Progress and Results

Tell your readers about what you and your client have achieved during your collaboration. Here you can include:

  • Graphics about your progress
  • Business objectives they have achieved
  • Relevant metrics 

how to make a introduction in case study

Step 6: Make It Visual

To elevate the information you have written for your audience, you must make sure it’s appealing and easy to read. And a great way to achieve that is to use visuals that add value to your case study.

Here are some design elements that will make emphasize your text:

  • Graphic symbols that guide the eye (arrows, bullet points, checkmarks, etc.)
  • Charts, graphics, tables 
  • Relevant screenshots from business reports
  • The colors and fonts of your brand
  • Your client’s logo

Platforms like Canva can really come in handy while designing your case study. It’s easy to use and it has multiple free slide templates and graphics that save you time and money.

PRO TIP: Share Your Case Study Across All Marketing Channels

A case study is a perfect example of evergreen content that can be reshared endlessly on your social media channels .

Aside from helping you maintain a consistent posting schedule with ease, case study-related posts will increase your credibility and push leads toward the bottom of your marketing funnel . Other examples of social proof evergreen content are reviews, testimonials, and positive social media mentions.

To keep track of all your evergreen posts and have them scheduled on a continuous loop, use a social media tool like SocialBee.

SocialBee posting schedule

Create evergreen content categories where all your posts get reposted regularly on your social media channels. 

Start your 14-day trial today and start using SocialBee for free!

Aside from promoting your case study on social media, you can also feature it in your newsletter that you can create using email newsletter software , include it as a pop-up on your website, and even create a separate landing page dedicated to your customer study.

SocialBee blog CTA box visual

Share Your Case Study on Social Media with SocialBee!

Get to writing your own case study.

What do you think? Is writing a case study easier than you thought? We sure hope so.

Learning how to write a case study is a simple process once you understand the logical steps that go into it. So make sure you go over the guide a couple of times before you start documenting your customer success stories.

And remember that the goal of your case study is to attract more leads . Therefore you need to include tangible results and valuable details that will compel your audience to invest in your products and services.

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Article written by

Alexandra

Content writer at SocialBee

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how to make a introduction in case study

All You Wanted to Know About How to Write a Case Study

how to make a introduction in case study

What do you study in your college? If you are a psychology, sociology, or anthropology student, we bet you might be familiar with what a case study is. This research method is used to study a certain person, group, or situation. In this guide from our dissertation writing service , you will learn how to write a case study professionally, from researching to citing sources properly. Also, we will explore different types of case studies and show you examples — so that you won’t have any other questions left.

What Is a Case Study?

A case study is a subcategory of research design which investigates problems and offers solutions. Case studies can range from academic research studies to corporate promotional tools trying to sell an idea—their scope is quite vast.

What Is the Difference Between a Research Paper and a Case Study?

While research papers turn the reader’s attention to a certain problem, case studies go even further. Case study guidelines require students to pay attention to details, examining issues closely and in-depth using different research methods. For example, case studies may be used to examine court cases if you study Law, or a patient's health history if you study Medicine. Case studies are also used in Marketing, which are thorough, empirically supported analysis of a good or service's performance. Well-designed case studies can be valuable for prospective customers as they can identify and solve the potential customers pain point.

Case studies involve a lot of storytelling – they usually examine particular cases for a person or a group of people. This method of research is very helpful, as it is very practical and can give a lot of hands-on information. Most commonly, the length of the case study is about 500-900 words, which is much less than the length of an average research paper.

The structure of a case study is very similar to storytelling. It has a protagonist or main character, which in your case is actually a problem you are trying to solve. You can use the system of 3 Acts to make it a compelling story. It should have an introduction, rising action, a climax where transformation occurs, falling action, and a solution.

Here is a rough formula for you to use in your case study:

Problem (Act I): > Solution (Act II) > Result (Act III) > Conclusion.

Types of Case Studies

The purpose of a case study is to provide detailed reports on an event, an institution, a place, future customers, or pretty much anything. There are a few common types of case study, but the type depends on the topic. The following are the most common domains where case studies are needed:

Types of Case Studies

  • Historical case studies are great to learn from. Historical events have a multitude of source info offering different perspectives. There are always modern parallels where these perspectives can be applied, compared, and thoroughly analyzed.
  • Problem-oriented case studies are usually used for solving problems. These are often assigned as theoretical situations where you need to immerse yourself in the situation to examine it. Imagine you’re working for a startup and you’ve just noticed a significant flaw in your product’s design. Before taking it to the senior manager, you want to do a comprehensive study on the issue and provide solutions. On a greater scale, problem-oriented case studies are a vital part of relevant socio-economic discussions.
  • Cumulative case studies collect information and offer comparisons. In business, case studies are often used to tell people about the value of a product.
  • Critical case studies explore the causes and effects of a certain case.
  • Illustrative case studies describe certain events, investigating outcomes and lessons learned.

Need a compelling case study? EssayPro has got you covered. Our experts are ready to provide you with detailed, insightful case studies that capture the essence of real-world scenarios. Elevate your academic work with our professional assistance.

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Case Study Format

The case study format is typically made up of eight parts:

  • Executive Summary. Explain what you will examine in the case study. Write an overview of the field you’re researching. Make a thesis statement and sum up the results of your observation in a maximum of 2 sentences.
  • Background. Provide background information and the most relevant facts. Isolate the issues.
  • Case Evaluation. Isolate the sections of the study you want to focus on. In it, explain why something is working or is not working.
  • Proposed Solutions. Offer realistic ways to solve what isn’t working or how to improve its current condition. Explain why these solutions work by offering testable evidence.
  • Conclusion. Summarize the main points from the case evaluations and proposed solutions. 6. Recommendations. Talk about the strategy that you should choose. Explain why this choice is the most appropriate.
  • Implementation. Explain how to put the specific strategies into action.
  • References. Provide all the citations.

How to Write a Case Study

Let's discover how to write a case study.

How to Write a Case Study

Setting Up the Research

When writing a case study, remember that research should always come first. Reading many different sources and analyzing other points of view will help you come up with more creative solutions. You can also conduct an actual interview to thoroughly investigate the customer story that you'll need for your case study. Including all of the necessary research, writing a case study may take some time. The research process involves doing the following:

  • Define your objective. Explain the reason why you’re presenting your subject. Figure out where you will feature your case study; whether it is written, on video, shown as an infographic, streamed as a podcast, etc.
  • Determine who will be the right candidate for your case study. Get permission, quotes, and other features that will make your case study effective. Get in touch with your candidate to see if they approve of being part of your work. Study that candidate’s situation and note down what caused it.
  • Identify which various consequences could result from the situation. Follow these guidelines on how to start a case study: surf the net to find some general information you might find useful.
  • Make a list of credible sources and examine them. Seek out important facts and highlight problems. Always write down your ideas and make sure to brainstorm.
  • Focus on several key issues – why they exist, and how they impact your research subject. Think of several unique solutions. Draw from class discussions, readings, and personal experience. When writing a case study, focus on the best solution and explore it in depth. After having all your research in place, writing a case study will be easy. You may first want to check the rubric and criteria of your assignment for the correct case study structure.

Read Also: ' WHAT IS A CREDIBLE SOURCES ?'

Although your instructor might be looking at slightly different criteria, every case study rubric essentially has the same standards. Your professor will want you to exhibit 8 different outcomes:

  • Correctly identify the concepts, theories, and practices in the discipline.
  • Identify the relevant theories and principles associated with the particular study.
  • Evaluate legal and ethical principles and apply them to your decision-making.
  • Recognize the global importance and contribution of your case.
  • Construct a coherent summary and explanation of the study.
  • Demonstrate analytical and critical-thinking skills.
  • Explain the interrelationships between the environment and nature.
  • Integrate theory and practice of the discipline within the analysis.

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Case Study Outline

Let's look at the structure of an outline based on the issue of the alcoholic addiction of 30 people.

Introduction

  • Statement of the issue: Alcoholism is a disease rather than a weakness of character.
  • Presentation of the problem: Alcoholism is affecting more than 14 million people in the USA, which makes it the third most common mental illness there.
  • Explanation of the terms: In the past, alcoholism was commonly referred to as alcohol dependence or alcohol addiction. Alcoholism is now the more severe stage of this addiction in the disorder spectrum.
  • Hypotheses: Drinking in excess can lead to the use of other drugs.
  • Importance of your story: How the information you present can help people with their addictions.
  • Background of the story: Include an explanation of why you chose this topic.
  • Presentation of analysis and data: Describe the criteria for choosing 30 candidates, the structure of the interview, and the outcomes.
  • Strong argument 1: ex. X% of candidates dealing with anxiety and depression...
  • Strong argument 2: ex. X amount of people started drinking by their mid-teens.
  • Strong argument 3: ex. X% of respondents’ parents had issues with alcohol.
  • Concluding statement: I have researched if alcoholism is a disease and found out that…
  • Recommendations: Ways and actions for preventing alcohol use.

Writing a Case Study Draft

After you’ve done your case study research and written the outline, it’s time to focus on the draft. In a draft, you have to develop and write your case study by using: the data which you collected throughout the research, interviews, and the analysis processes that were undertaken. Follow these rules for the draft:

How to Write a Case Study

  • Your draft should contain at least 4 sections: an introduction; a body where you should include background information, an explanation of why you decided to do this case study, and a presentation of your main findings; a conclusion where you present data; and references.
  • In the introduction, you should set the pace very clearly. You can even raise a question or quote someone you interviewed in the research phase. It must provide adequate background information on the topic. The background may include analyses of previous studies on your topic. Include the aim of your case here as well. Think of it as a thesis statement. The aim must describe the purpose of your work—presenting the issues that you want to tackle. Include background information, such as photos or videos you used when doing the research.
  • Describe your unique research process, whether it was through interviews, observations, academic journals, etc. The next point includes providing the results of your research. Tell the audience what you found out. Why is this important, and what could be learned from it? Discuss the real implications of the problem and its significance in the world.
  • Include quotes and data (such as findings, percentages, and awards). This will add a personal touch and better credibility to the case you present. Explain what results you find during your interviews in regards to the problem and how it developed. Also, write about solutions which have already been proposed by other people who have already written about this case.
  • At the end of your case study, you should offer possible solutions, but don’t worry about solving them yourself.

Use Data to Illustrate Key Points in Your Case Study

Even though your case study is a story, it should be based on evidence. Use as much data as possible to illustrate your point. Without the right data, your case study may appear weak and the readers may not be able to relate to your issue as much as they should. Let's see the examples from essay writing service :

‍ With data: Alcoholism is affecting more than 14 million people in the USA, which makes it the third most common mental illness there. Without data: A lot of people suffer from alcoholism in the United States.

Try to include as many credible sources as possible. You may have terms or sources that could be hard for other cultures to understand. If this is the case, you should include them in the appendix or Notes for the Instructor or Professor.

Finalizing the Draft: Checklist

After you finish drafting your case study, polish it up by answering these ‘ask yourself’ questions and think about how to end your case study:

  • Check that you follow the correct case study format, also in regards to text formatting.
  • Check that your work is consistent with its referencing and citation style.
  • Micro-editing — check for grammar and spelling issues.
  • Macro-editing — does ‘the big picture’ come across to the reader? Is there enough raw data, such as real-life examples or personal experiences? Have you made your data collection process completely transparent? Does your analysis provide a clear conclusion, allowing for further research and practice?

Problems to avoid:

  • Overgeneralization – Do not go into further research that deviates from the main problem.
  • Failure to Document Limitations – Just as you have to clearly state the limitations of a general research study, you must describe the specific limitations inherent in the subject of analysis.
  • Failure to Extrapolate All Possible Implications – Just as you don't want to over-generalize from your case study findings, you also have to be thorough in the consideration of all possible outcomes or recommendations derived from your findings.

How to Create a Title Page and Cite a Case Study

Let's see how to create an awesome title page.

Your title page depends on the prescribed citation format. The title page should include:

  • A title that attracts some attention and describes your study
  • The title should have the words “case study” in it
  • The title should range between 5-9 words in length
  • Your name and contact information
  • Your finished paper should be only 500 to 1,500 words in length.With this type of assignment, write effectively and avoid fluff

Here is a template for the APA and MLA format title page:

There are some cases when you need to cite someone else's study in your own one – therefore, you need to master how to cite a case study. A case study is like a research paper when it comes to citations. You can cite it like you cite a book, depending on what style you need.

Citation Example in MLA ‍ Hill, Linda, Tarun Khanna, and Emily A. Stecker. HCL Technologies. Boston: Harvard Business Publishing, 2008. Print.
Citation Example in APA ‍ Hill, L., Khanna, T., & Stecker, E. A. (2008). HCL Technologies. Boston: Harvard Business Publishing.
Citation Example in Chicago Hill, Linda, Tarun Khanna, and Emily A. Stecker. HCL Technologies.

Case Study Examples

To give you an idea of a professional case study example, we gathered and linked some below.

Eastman Kodak Case Study

Case Study Example: Audi Trains Mexican Autoworkers in Germany

To conclude, a case study is one of the best methods of getting an overview of what happened to a person, a group, or a situation in practice. It allows you to have an in-depth glance at the real-life problems that businesses, healthcare industry, criminal justice, etc. may face. This insight helps us look at such situations in a different light. This is because we see scenarios that we otherwise would not, without necessarily being there. If you need custom essays , try our research paper writing services .

Get Help Form Qualified Writers

Crafting a case study is not easy. You might want to write one of high quality, but you don’t have the time or expertise. If you’re having trouble with your case study, help with essay request - we'll help. EssayPro writers have read and written countless case studies and are experts in endless disciplines. Request essay writing, editing, or proofreading assistance from our custom case study writing service , and all of your worries will be gone.

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Braden Becker

Published: November 30, 2023

Earning the trust of prospective customers can be a struggle. Before you can even begin to expect to earn their business, you need to demonstrate your ability to deliver on what your product or service promises.

company conducting case study with candidate after learning how to write a case study

Sure, you could say that you're great at X or that you're way ahead of the competition when it comes to Y. But at the end of the day, what you really need to win new business is cold, hard proof.

One of the best ways to prove your worth is through a compelling case study. In fact, HubSpot’s 2020 State of Marketing report found that case studies are so compelling that they are the fifth most commonly used type of content used by marketers.

Download Now: 3 Free Case Study Templates

Below, I'll walk you through what a case study is, how to prepare for writing one, what you need to include in it, and how it can be an effective tactic. To jump to different areas of this post, click on the links below to automatically scroll.

Case Study Definition

Case study templates, how to write a case study.

  • How to Format a Case Study

Business Case Study Examples

A case study is a specific challenge a business has faced, and the solution they've chosen to solve it. Case studies can vary greatly in length and focus on several details related to the initial challenge and applied solution, and can be presented in various forms like a video, white paper, blog post, etc.

In professional settings, it's common for a case study to tell the story of a successful business partnership between a vendor and a client. Perhaps the success you're highlighting is in the number of leads your client generated, customers closed, or revenue gained. Any one of these key performance indicators (KPIs) are examples of your company's services in action.

When done correctly, these examples of your work can chronicle the positive impact your business has on existing or previous customers and help you attract new clients.

how to make a introduction in case study

Free Case Study Templates

Showcase your company's success using these three free case study templates.

  • Data-Driven Case Study Template
  • Product-Specific Case Study Template
  • General Case Study Template

You're all set!

Click this link to access this resource at any time.

Why write a case study? 

I know, you’re thinking “ Okay, but why do I need to write one of these? ” The truth is that while case studies are a huge undertaking, they are powerful marketing tools that allow you to demonstrate the value of your product to potential customers using real-world examples. Here are a few reasons why you should write case studies. 

1. Explain Complex Topics or Concepts

Case studies give you the space to break down complex concepts, ideas, and strategies and show how they can be applied in a practical way. You can use real-world examples, like an existing client, and use their story to create a compelling narrative that shows how your product solved their issue and how those strategies can be repeated to help other customers get similar successful results.  

2. Show Expertise

Case studies are a great way to demonstrate your knowledge and expertise on a given topic or industry. This is where you get the opportunity to show off your problem-solving skills and how you’ve generated successful outcomes for clients you’ve worked with. 

3. Build Trust and Credibility

In addition to showing off the attributes above, case studies are an excellent way to build credibility. They’re often filled with data and thoroughly researched, which shows readers you’ve done your homework. They can have confidence in the solutions you’ve presented because they’ve read through as you’ve explained the problem and outlined step-by-step what it took to solve it. All of these elements working together enable you to build trust with potential customers.

4. Create Social Proof

Using existing clients that have seen success working with your brand builds social proof . People are more likely to choose your brand if they know that others have found success working with you. Case studies do just that — putting your success on display for potential customers to see. 

All of these attributes work together to help you gain more clients. Plus you can even use quotes from customers featured in these studies and repurpose them in other marketing content. Now that you know more about the benefits of producing a case study, let’s check out how long these documents should be. 

How long should a case study be?

The length of a case study will vary depending on the complexity of the project or topic discussed. However, as a general guideline, case studies typically range from 500 to 1,500 words. 

Whatever length you choose, it should provide a clear understanding of the challenge, the solution you implemented, and the results achieved. This may be easier said than done, but it's important to strike a balance between providing enough detail to make the case study informative and concise enough to keep the reader's interest.

The primary goal here is to effectively communicate the key points and takeaways of the case study. It’s worth noting that this shouldn’t be a wall of text. Use headings, subheadings, bullet points, charts, and other graphics to break up the content and make it more scannable for readers. We’ve also seen brands incorporate video elements into case studies listed on their site for a more engaging experience. 

Ultimately, the length of your case study should be determined by the amount of information necessary to convey the story and its impact without becoming too long. Next, let’s look at some templates to take the guesswork out of creating one. 

To help you arm your prospects with information they can trust, we've put together a step-by-step guide on how to create effective case studies for your business with free case study templates for creating your own.

Tell us a little about yourself below to gain access today:

And to give you more options, we’ll highlight some useful templates that serve different needs. But remember, there are endless possibilities when it comes to demonstrating the work your business has done.

1. General Case Study Template

case study templates: general

Do you have a specific product or service that you’re trying to sell, but not enough reviews or success stories? This Product Specific case study template will help.

This template relies less on metrics, and more on highlighting the customer’s experience and satisfaction. As you follow the template instructions, you’ll be prompted to speak more about the benefits of the specific product, rather than your team’s process for working with the customer.

4. Bold Social Media Business Case Study Template

case study templates: bold social media business

You can find templates that represent different niches, industries, or strategies that your business has found success in — like a bold social media business case study template.

In this template, you can tell the story of how your social media marketing strategy has helped you or your client through collaboration or sale of your service. Customize it to reflect the different marketing channels used in your business and show off how well your business has been able to boost traffic, engagement, follows, and more.

5. Lead Generation Business Case Study Template

case study templates: lead generation business

It’s important to note that not every case study has to be the product of a sale or customer story, sometimes they can be informative lessons that your own business has experienced. A great example of this is the Lead Generation Business case study template.

If you’re looking to share operational successes regarding how your team has improved processes or content, you should include the stories of different team members involved, how the solution was found, and how it has made a difference in the work your business does.

Now that we’ve discussed different templates and ideas for how to use them, let’s break down how to create your own case study with one.

  • Get started with case study templates.
  • Determine the case study's objective.
  • Establish a case study medium.
  • Find the right case study candidate.
  • Contact your candidate for permission to write about them.
  • Ensure you have all the resources you need to proceed once you get a response.
  • Download a case study email template.
  • Define the process you want to follow with the client.
  • Ensure you're asking the right questions.
  • Layout your case study format.
  • Publish and promote your case study.

1. Get started with case study templates.

Telling your customer's story is a delicate process — you need to highlight their success while naturally incorporating your business into their story.

If you're just getting started with case studies, we recommend you download HubSpot's Case Study Templates we mentioned before to kickstart the process.

2. Determine the case study's objective.

All business case studies are designed to demonstrate the value of your services, but they can focus on several different client objectives.

Your first step when writing a case study is to determine the objective or goal of the subject you're featuring. In other words, what will the client have succeeded in doing by the end of the piece?

The client objective you focus on will depend on what you want to prove to your future customers as a result of publishing this case study.

Your case study can focus on one of the following client objectives:

  • Complying with government regulation
  • Lowering business costs
  • Becoming profitable
  • Generating more leads
  • Closing on more customers
  • Generating more revenue
  • Expanding into a new market
  • Becoming more sustainable or energy-efficient

3. Establish a case study medium.

Next, you'll determine the medium in which you'll create the case study. In other words, how will you tell this story?

Case studies don't have to be simple, written one-pagers. Using different media in your case study can allow you to promote your final piece on different channels. For example, while a written case study might just live on your website and get featured in a Facebook post, you can post an infographic case study on Pinterest and a video case study on your YouTube channel.

Here are some different case study mediums to consider:

Written Case Study

Consider writing this case study in the form of an ebook and converting it to a downloadable PDF. Then, gate the PDF behind a landing page and form for readers to fill out before downloading the piece, allowing this case study to generate leads for your business.

Video Case Study

Plan on meeting with the client and shooting an interview. Seeing the subject, in person, talk about the service you provided them can go a long way in the eyes of your potential customers.

Infographic Case Study

Use the long, vertical format of an infographic to tell your success story from top to bottom. As you progress down the infographic, emphasize major KPIs using bigger text and charts that show the successes your client has had since working with you.

Podcast Case Study

Podcasts are a platform for you to have a candid conversation with your client. This type of case study can sound more real and human to your audience — they'll know the partnership between you and your client was a genuine success.

4. Find the right case study candidate.

Writing about your previous projects requires more than picking a client and telling a story. You need permission, quotes, and a plan. To start, here are a few things to look for in potential candidates.

Product Knowledge

It helps to select a customer who's well-versed in the logistics of your product or service. That way, he or she can better speak to the value of what you offer in a way that makes sense for future customers.

Remarkable Results

Clients that have seen the best results are going to make the strongest case studies. If their own businesses have seen an exemplary ROI from your product or service, they're more likely to convey the enthusiasm that you want prospects to feel, too.

One part of this step is to choose clients who have experienced unexpected success from your product or service. When you've provided non-traditional customers — in industries that you don't usually work with, for example — with positive results, it can help to remove doubts from prospects.

Recognizable Names

While small companies can have powerful stories, bigger or more notable brands tend to lend credibility to your own. In fact, 89% of consumers say they'll buy from a brand they already recognize over a competitor, especially if they already follow them on social media.

Customers that came to you after working with a competitor help highlight your competitive advantage and might even sway decisions in your favor.

5. Contact your candidate for permission to write about them.

To get the case study candidate involved, you have to set the stage for clear and open communication. That means outlining expectations and a timeline right away — not having those is one of the biggest culprits in delayed case study creation.

Most importantly at this point, however, is getting your subject's approval. When first reaching out to your case study candidate, provide them with the case study's objective and format — both of which you will have come up with in the first two steps above.

To get this initial permission from your subject, put yourself in their shoes — what would they want out of this case study? Although you're writing this for your own company's benefit, your subject is far more interested in the benefit it has for them.

Benefits to Offer Your Case Study Candidate

Here are four potential benefits you can promise your case study candidate to gain their approval.

Brand Exposure

Explain to your subject to whom this case study will be exposed, and how this exposure can help increase their brand awareness both in and beyond their own industry. In the B2B sector, brand awareness can be hard to collect outside one's own market, making case studies particularly useful to a client looking to expand their name's reach.

Employee Exposure

Allow your subject to provide quotes with credits back to specific employees. When this is an option for them, their brand isn't the only thing expanding its reach — their employees can get their name out there, too. This presents your subject with networking and career development opportunities they might not have otherwise.

Product Discount

This is a more tangible incentive you can offer your case study candidate, especially if they're a current customer of yours. If they agree to be your subject, offer them a product discount — or a free trial of another product — as a thank-you for their help creating your case study.

Backlinks and Website Traffic

Here's a benefit that is sure to resonate with your subject's marketing team: If you publish your case study on your website, and your study links back to your subject's website — known as a "backlink" — this small gesture can give them website traffic from visitors who click through to your subject's website.

Additionally, a backlink from you increases your subject's page authority in the eyes of Google. This helps them rank more highly in search engine results and collect traffic from readers who are already looking for information about their industry.

6. Ensure you have all the resources you need to proceed once you get a response.

So you know what you’re going to offer your candidate, it’s time that you prepare the resources needed for if and when they agree to participate, like a case study release form and success story letter.

Let's break those two down.

Case Study Release Form

This document can vary, depending on factors like the size of your business, the nature of your work, and what you intend to do with the case studies once they are completed. That said, you should typically aim to include the following in the Case Study Release Form:

  • A clear explanation of why you are creating this case study and how it will be used.
  • A statement defining the information and potentially trademarked information you expect to include about the company — things like names, logos, job titles, and pictures.
  • An explanation of what you expect from the participant, beyond the completion of the case study. For example, is this customer willing to act as a reference or share feedback, and do you have permission to pass contact information along for these purposes?
  • A note about compensation.

Success Story Letter

As noted in the sample email, this document serves as an outline for the entire case study process. Other than a brief explanation of how the customer will benefit from case study participation, you'll want to be sure to define the following steps in the Success Story Letter.

7. Download a case study email template.

While you gathered your resources, your candidate has gotten time to read over the proposal. When your candidate approves of your case study, it's time to send them a release form.

A case study release form tells you what you'll need from your chosen subject, like permission to use any brand names and share the project information publicly. Kick-off this process with an email that runs through exactly what they can expect from you, as well as what you need from them. To give you an idea of what that might look like, check out this sample email:

sample case study email release form template

8. Define the process you want to follow with the client.

Before you can begin the case study, you have to have a clear outline of the case study process with your client. An example of an effective outline would include the following information.

The Acceptance

First, you'll need to receive internal approval from the company's marketing team. Once approved, the Release Form should be signed and returned to you. It's also a good time to determine a timeline that meets the needs and capabilities of both teams.

The Questionnaire

To ensure that you have a productive interview — which is one of the best ways to collect information for the case study — you'll want to ask the participant to complete a questionnaire before this conversation. That will provide your team with the necessary foundation to organize the interview, and get the most out of it.

The Interview

Once the questionnaire is completed, someone on your team should reach out to the participant to schedule a 30- to 60-minute interview, which should include a series of custom questions related to the customer's experience with your product or service.

The Draft Review

After the case study is composed, you'll want to send a draft to the customer, allowing an opportunity to give you feedback and edits.

The Final Approval

Once any necessary edits are completed, send a revised copy of the case study to the customer for final approval.

Once the case study goes live — on your website or elsewhere — it's best to contact the customer with a link to the page where the case study lives. Don't be afraid to ask your participants to share these links with their own networks, as it not only demonstrates your ability to deliver positive results and impressive growth, as well.

9. Ensure you're asking the right questions.

Before you execute the questionnaire and actual interview, make sure you're setting yourself up for success. A strong case study results from being prepared to ask the right questions. What do those look like? Here are a few examples to get you started:

  • What are your goals?
  • What challenges were you experiencing before purchasing our product or service?
  • What made our product or service stand out against our competitors?
  • What did your decision-making process look like?
  • How have you benefited from using our product or service? (Where applicable, always ask for data.)

Keep in mind that the questionnaire is designed to help you gain insights into what sort of strong, success-focused questions to ask during the actual interview. And once you get to that stage, we recommend that you follow the "Golden Rule of Interviewing." Sounds fancy, right? It's actually quite simple — ask open-ended questions.

If you're looking to craft a compelling story, "yes" or "no" answers won't provide the details you need. Focus on questions that invite elaboration, such as, "Can you describe ...?" or, "Tell me about ..."

In terms of the interview structure, we recommend categorizing the questions and flowing them into six specific sections that will mirror a successful case study format. Combined, they'll allow you to gather enough information to put together a rich, comprehensive study.

Open with the customer's business.

The goal of this section is to generate a better understanding of the company's current challenges and goals, and how they fit into the landscape of their industry. Sample questions might include:

  • How long have you been in business?
  • How many employees do you have?
  • What are some of the objectives of your department at this time?

Cite a problem or pain point.

To tell a compelling story, you need context. That helps match the customer's need with your solution. Sample questions might include:

  • What challenges and objectives led you to look for a solution?
  • What might have happened if you did not identify a solution?
  • Did you explore other solutions before this that did not work out? If so, what happened?

Discuss the decision process.

Exploring how the customer decided to work with you helps to guide potential customers through their own decision-making processes. Sample questions might include:

  • How did you hear about our product or service?
  • Who was involved in the selection process?
  • What was most important to you when evaluating your options?

Explain how a solution was implemented.

The focus here should be placed on the customer's experience during the onboarding process. Sample questions might include:

  • How long did it take to get up and running?
  • Did that meet your expectations?
  • Who was involved in the process?

Explain how the solution works.

The goal of this section is to better understand how the customer is using your product or service. Sample questions might include:

  • Is there a particular aspect of the product or service that you rely on most?
  • Who is using the product or service?

End with the results.

In this section, you want to uncover impressive measurable outcomes — the more numbers, the better. Sample questions might include:

  • How is the product or service helping you save time and increase productivity?
  • In what ways does that enhance your competitive advantage?
  • How much have you increased metrics X, Y, and Z?

10. Lay out your case study format.

When it comes time to take all of the information you've collected and actually turn it into something, it's easy to feel overwhelmed. Where should you start? What should you include? What's the best way to structure it?

To help you get a handle on this step, it's important to first understand that there is no one-size-fits-all when it comes to the ways you can present a case study. They can be very visual, which you'll see in some of the examples we've included below, and can sometimes be communicated mostly through video or photos, with a bit of accompanying text.

Here are the sections we suggest, which we'll cover in more detail down below:

  • Title: Keep it short. Develop a succinct but interesting project name you can give the work you did with your subject.
  • Subtitle: Use this copy to briefly elaborate on the accomplishment. What was done? The case study itself will explain how you got there.
  • Executive Summary : A 2-4 sentence summary of the entire story. You'll want to follow it with 2-3 bullet points that display metrics showcasing success.
  • About the Subject: An introduction to the person or company you served, which can be pulled from a LinkedIn Business profile or client website.
  • Challenges and Objectives: A 2-3 paragraph description of the customer's challenges, before using your product or service. This section should also include the goals or objectives the customer set out to achieve.
  • How Product/Service Helped: A 2-3 paragraph section that describes how your product or service provided a solution to their problem.
  • Results: A 2-3 paragraph testimonial that proves how your product or service specifically benefited the person or company and helped achieve its goals. Include numbers to quantify your contributions.
  • Supporting Visuals or Quotes: Pick one or two powerful quotes that you would feature at the bottom of the sections above, as well as a visual that supports the story you are telling.
  • Future Plans: Everyone likes an epilogue. Comment on what's ahead for your case study subject, whether or not those plans involve you.
  • Call to Action (CTA): Not every case study needs a CTA, but putting a passive one at the end of your case study can encourage your readers to take an action on your website after learning about the work you've done.

When laying out your case study, focus on conveying the information you've gathered in the most clear and concise way possible. Make it easy to scan and comprehend, and be sure to provide an attractive call-to-action at the bottom — that should provide readers an opportunity to learn more about your product or service.

11. Publish and promote your case study.

Once you've completed your case study, it's time to publish and promote it. Some case study formats have pretty obvious promotional outlets — a video case study can go on YouTube, just as an infographic case study can go on Pinterest.

But there are still other ways to publish and promote your case study. Here are a couple of ideas:

Lead Gen in a Blog Post

As stated earlier in this article, written case studies make terrific lead-generators if you convert them into a downloadable format, like a PDF. To generate leads from your case study, consider writing a blog post that tells an abbreviated story of your client's success and asking readers to fill out a form with their name and email address if they'd like to read the rest in your PDF.

Then, promote this blog post on social media, through a Facebook post or a tweet.

Published as a Page on Your Website

As a growing business, you might need to display your case study out in the open to gain the trust of your target audience.

Rather than gating it behind a landing page, publish your case study to its own page on your website, and direct people here from your homepage with a "Case Studies" or "Testimonials" button along your homepage's top navigation bar.

Format for a Case Study

The traditional case study format includes the following parts: a title and subtitle, a client profile, a summary of the customer’s challenges and objectives, an account of how your solution helped, and a description of the results. You might also want to include supporting visuals and quotes, future plans, and calls-to-action.

case study format: title

Image Source

The title is one of the most important parts of your case study. It should draw readers in while succinctly describing the potential benefits of working with your company. To that end, your title should:

  • State the name of your custome r. Right away, the reader must learn which company used your products and services. This is especially important if your customer has a recognizable brand. If you work with individuals and not companies, you may omit the name and go with professional titles: “A Marketer…”, “A CFO…”, and so forth.
  • State which product your customer used . Even if you only offer one product or service, or if your company name is the same as your product name, you should still include the name of your solution. That way, readers who are not familiar with your business can become aware of what you sell.
  • Allude to the results achieved . You don’t necessarily need to provide hard numbers, but the title needs to represent the benefits, quickly. That way, if a reader doesn’t stay to read, they can walk away with the most essential information: Your product works.

The example above, “Crunch Fitness Increases Leads and Signups With HubSpot,” achieves all three — without being wordy. Keeping your title short and sweet is also essential.

2. Subtitle

case study format: subtitle

Your subtitle is another essential part of your case study — don’t skip it, even if you think you’ve done the work with the title. In this section, include a brief summary of the challenges your customer was facing before they began to use your products and services. Then, drive the point home by reiterating the benefits your customer experienced by working with you.

The above example reads:

“Crunch Fitness was franchising rapidly when COVID-19 forced fitness clubs around the world to close their doors. But the company stayed agile by using HubSpot to increase leads and free trial signups.”

We like that the case study team expressed the urgency of the problem — opening more locations in the midst of a pandemic — and placed the focus on the customer’s ability to stay agile.

3. Executive Summary

case study format: executive summary

The executive summary should provide a snapshot of your customer, their challenges, and the benefits they enjoyed from working with you. Think it’s too much? Think again — the purpose of the case study is to emphasize, again and again, how well your product works.

The good news is that depending on your design, the executive summary can be mixed with the subtitle or with the “About the Company” section. Many times, this section doesn’t need an explicit “Executive Summary” subheading. You do need, however, to provide a convenient snapshot for readers to scan.

In the above example, ADP included information about its customer in a scannable bullet-point format, then provided two sections: “Business Challenge” and “How ADP Helped.” We love how simple and easy the format is to follow for those who are unfamiliar with ADP or its typical customer.

4. About the Company

case study format: about the company

Readers need to know and understand who your customer is. This is important for several reasons: It helps your reader potentially relate to your customer, it defines your ideal client profile (which is essential to deter poor-fit prospects who might have reached out without knowing they were a poor fit), and it gives your customer an indirect boon by subtly promoting their products and services.

Feel free to keep this section as simple as possible. You can simply copy and paste information from the company’s LinkedIn, use a quote directly from your customer, or take a more creative storytelling approach.

In the above example, HubSpot included one paragraph of description for Crunch Fitness and a few bullet points. Below, ADP tells the story of its customer using an engaging, personable technique that effectively draws readers in.

case study format: storytelling about the business

5. Challenges and Objectives

case study format: challenges and objectives

The challenges and objectives section of your case study is the place to lay out, in detail, the difficulties your customer faced prior to working with you — and what they hoped to achieve when they enlisted your help.

In this section, you can be as brief or as descriptive as you’d like, but remember: Stress the urgency of the situation. Don’t understate how much your customer needed your solution (but don’t exaggerate and lie, either). Provide contextual information as necessary. For instance, the pandemic and societal factors may have contributed to the urgency of the need.

Take the above example from design consultancy IDEO:

“Educational opportunities for adults have become difficult to access in the United States, just when they’re needed most. To counter this trend, IDEO helped the city of South Bend and the Drucker Institute launch Bendable, a community-powered platform that connects people with opportunities to learn with and from each other.”

We love how IDEO mentions the difficulties the United States faces at large, the efforts its customer is taking to address these issues, and the steps IDEO took to help.

6. How Product/Service Helped

case study format: how the service helped

This is where you get your product or service to shine. Cover the specific benefits that your customer enjoyed and the features they gleaned the most use out of. You can also go into detail about how you worked with and for your customer. Maybe you met several times before choosing the right solution, or you consulted with external agencies to create the best package for them.

Whatever the case may be, try to illustrate how easy and pain-free it is to work with the representatives at your company. After all, potential customers aren’t looking to just purchase a product. They’re looking for a dependable provider that will strive to exceed their expectations.

In the above example, IDEO describes how it partnered with research institutes and spoke with learners to create Bendable, a free educational platform. We love how it shows its proactivity and thoroughness. It makes potential customers feel that IDEO might do something similar for them.

case study format: results

The results are essential, and the best part is that you don’t need to write the entirety of the case study before sharing them. Like HubSpot, IDEO, and ADP, you can include the results right below the subtitle or executive summary. Use data and numbers to substantiate the success of your efforts, but if you don’t have numbers, you can provide quotes from your customers.

We can’t overstate the importance of the results. In fact, if you wanted to create a short case study, you could include your title, challenge, solution (how your product helped), and result.

8. Supporting Visuals or Quotes

case study format: quote

Let your customer speak for themselves by including quotes from the representatives who directly interfaced with your company.

Visuals can also help, even if they’re stock images. On one side, they can help you convey your customer’s industry, and on the other, they can indirectly convey your successes. For instance, a picture of a happy professional — even if they’re not your customer — will communicate that your product can lead to a happy client.

In this example from IDEO, we see a man standing in a boat. IDEO’s customer is neither the man pictured nor the manufacturer of the boat, but rather Conservation International, an environmental organization. This imagery provides a visually pleasing pattern interrupt to the page, while still conveying what the case study is about.

9. Future Plans

This is optional, but including future plans can help you close on a more positive, personable note than if you were to simply include a quote or the results. In this space, you can show that your product will remain in your customer’s tech stack for years to come, or that your services will continue to be instrumental to your customer’s success.

Alternatively, if you work only on time-bound projects, you can allude to the positive impact your customer will continue to see, even after years of the end of the contract.

10. Call to Action (CTA)

case study format: call to action

Not every case study needs a CTA, but we’d still encourage it. Putting one at the end of your case study will encourage your readers to take an action on your website after learning about the work you've done.

It will also make it easier for them to reach out, if they’re ready to start immediately. You don’t want to lose business just because they have to scroll all the way back up to reach out to your team.

To help you visualize this case study outline, check out the case study template below, which can also be downloaded here .

You drove the results, made the connection, set the expectations, used the questionnaire to conduct a successful interview, and boiled down your findings into a compelling story. And after all of that, you're left with a little piece of sales enabling gold — a case study.

To show you what a well-executed final product looks like, have a look at some of these marketing case study examples.

1. "Shopify Uses HubSpot CRM to Transform High Volume Sales Organization," by HubSpot

What's interesting about this case study is the way it leads with the customer. This reflects a major HubSpot value, which is to always solve for the customer first. The copy leads with a brief description of why Shopify uses HubSpot and is accompanied by a short video and some basic statistics on the company.

Notice that this case study uses mixed media. Yes, there is a short video, but it's elaborated upon in the additional text on the page. So, while case studies can use one or the other, don't be afraid to combine written copy with visuals to emphasize the project's success.

2. "New England Journal of Medicine," by Corey McPherson Nash

When branding and design studio Corey McPherson Nash showcases its work, it makes sense for it to be visual — after all, that's what they do. So in building the case study for the studio's work on the New England Journal of Medicine's integrated advertising campaign — a project that included the goal of promoting the client's digital presence — Corey McPherson Nash showed its audience what it did, rather than purely telling it.

Notice that the case study does include some light written copy — which includes the major points we've suggested — but lets the visuals do the talking, allowing users to really absorb the studio's services.

3. "Designing the Future of Urban Farming," by IDEO

Here's a design company that knows how to lead with simplicity in its case studies. As soon as the visitor arrives at the page, he or she is greeted with a big, bold photo, and two very simple columns of text — "The Challenge" and "The Outcome."

Immediately, IDEO has communicated two of the case study's major pillars. And while that's great — the company created a solution for vertical farming startup INFARM's challenge — it doesn't stop there. As the user scrolls down, those pillars are elaborated upon with comprehensive (but not overwhelming) copy that outlines what that process looked like, replete with quotes and additional visuals.

4. "Secure Wi-Fi Wins Big for Tournament," by WatchGuard

Then, there are the cases when visuals can tell almost the entire story — when executed correctly. Network security provider WatchGuard can do that through this video, which tells the story of how its services enhanced the attendee and vendor experience at the Windmill Ultimate Frisbee tournament.

5. Rock and Roll Hall of Fame Boosts Social Media Engagement and Brand Awareness with HubSpot

In the case study above , HubSpot uses photos, videos, screenshots, and helpful stats to tell the story of how the Rock and Roll Hall of Fame used the bot, CRM, and social media tools to gain brand awareness.

6. Small Desk Plant Business Ups Sales by 30% With Trello

This case study from Trello is straightforward and easy to understand. It begins by explaining the background of the company that decided to use it, what its goals were, and how it planned to use Trello to help them.

It then goes on to discuss how the software was implemented and what tasks and teams benefited from it. Towards the end, it explains the sales results that came from implementing the software and includes quotes from decision-makers at the company that implemented it.

7. Facebook's Mercedes Benz Success Story

Facebook's Success Stories page hosts a number of well-designed and easy-to-understand case studies that visually and editorially get to the bottom line quickly.

Each study begins with key stats that draw the reader in. Then it's organized by highlighting a problem or goal in the introduction, the process the company took to reach its goals, and the results. Then, in the end, Facebook notes the tools used in the case study.

Showcasing Your Work

You work hard at what you do. Now, it's time to show it to the world — and, perhaps more important, to potential customers. Before you show off the projects that make you the proudest, we hope you follow these important steps that will help you effectively communicate that work and leave all parties feeling good about it.

Editor's Note: This blog post was originally published in February 2017 but was updated for comprehensiveness and freshness in July 2021.

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Organizing Your Social Sciences Research Assignments

  • Annotated Bibliography
  • Analyzing a Scholarly Journal Article
  • Group Presentations
  • Dealing with Nervousness
  • Using Visual Aids
  • Grading Someone Else's Paper
  • Types of Structured Group Activities
  • Group Project Survival Skills
  • Leading a Class Discussion
  • Multiple Book Review Essay
  • Reviewing Collected Works
  • Writing a Case Analysis Paper
  • Writing a Case Study
  • About Informed Consent
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  • Writing a Policy Memo
  • Writing a Reflective Paper
  • Writing a Research Proposal
  • Generative AI and Writing
  • Acknowledgments

Definition and Introduction

Case analysis is a problem-based teaching and learning method that involves critically analyzing complex scenarios within an organizational setting for the purpose of placing the student in a “real world” situation and applying reflection and critical thinking skills to contemplate appropriate solutions, decisions, or recommended courses of action. It is considered a more effective teaching technique than in-class role playing or simulation activities. The analytical process is often guided by questions provided by the instructor that ask students to contemplate relationships between the facts and critical incidents described in the case.

Cases generally include both descriptive and statistical elements and rely on students applying abductive reasoning to develop and argue for preferred or best outcomes [i.e., case scenarios rarely have a single correct or perfect answer based on the evidence provided]. Rather than emphasizing theories or concepts, case analysis assignments emphasize building a bridge of relevancy between abstract thinking and practical application and, by so doing, teaches the value of both within a specific area of professional practice.

Given this, the purpose of a case analysis paper is to present a structured and logically organized format for analyzing the case situation. It can be assigned to students individually or as a small group assignment and it may include an in-class presentation component. Case analysis is predominately taught in economics and business-related courses, but it is also a method of teaching and learning found in other applied social sciences disciplines, such as, social work, public relations, education, journalism, and public administration.

Ellet, William. The Case Study Handbook: A Student's Guide . Revised Edition. Boston, MA: Harvard Business School Publishing, 2018; Christoph Rasche and Achim Seisreiner. Guidelines for Business Case Analysis . University of Potsdam; Writing a Case Analysis . Writing Center, Baruch College; Volpe, Guglielmo. "Case Teaching in Economics: History, Practice and Evidence." Cogent Economics and Finance 3 (December 2015). doi:https://doi.org/10.1080/23322039.2015.1120977.

How to Approach Writing a Case Analysis Paper

The organization and structure of a case analysis paper can vary depending on the organizational setting, the situation, and how your professor wants you to approach the assignment. Nevertheless, preparing to write a case analysis paper involves several important steps. As Hawes notes, a case analysis assignment “...is useful in developing the ability to get to the heart of a problem, analyze it thoroughly, and to indicate the appropriate solution as well as how it should be implemented” [p.48]. This statement encapsulates how you should approach preparing to write a case analysis paper.

Before you begin to write your paper, consider the following analytical procedures:

  • Review the case to get an overview of the situation . A case can be only a few pages in length, however, it is most often very lengthy and contains a significant amount of detailed background information and statistics, with multilayered descriptions of the scenario, the roles and behaviors of various stakeholder groups, and situational events. Therefore, a quick reading of the case will help you gain an overall sense of the situation and illuminate the types of issues and problems that you will need to address in your paper. If your professor has provided questions intended to help frame your analysis, use them to guide your initial reading of the case.
  • Read the case thoroughly . After gaining a general overview of the case, carefully read the content again with the purpose of understanding key circumstances, events, and behaviors among stakeholder groups. Look for information or data that appears contradictory, extraneous, or misleading. At this point, you should be taking notes as you read because this will help you develop a general outline of your paper. The aim is to obtain a complete understanding of the situation so that you can begin contemplating tentative answers to any questions your professor has provided or, if they have not provided, developing answers to your own questions about the case scenario and its connection to the course readings,lectures, and class discussions.
  • Determine key stakeholder groups, issues, and events and the relationships they all have to each other . As you analyze the content, pay particular attention to identifying individuals, groups, or organizations described in the case and identify evidence of any problems or issues of concern that impact the situation in a negative way. Other things to look for include identifying any assumptions being made by or about each stakeholder, potential biased explanations or actions, explicit demands or ultimatums , and the underlying concerns that motivate these behaviors among stakeholders. The goal at this stage is to develop a comprehensive understanding of the situational and behavioral dynamics of the case and the explicit and implicit consequences of each of these actions.
  • Identify the core problems . The next step in most case analysis assignments is to discern what the core [i.e., most damaging, detrimental, injurious] problems are within the organizational setting and to determine their implications. The purpose at this stage of preparing to write your analysis paper is to distinguish between the symptoms of core problems and the core problems themselves and to decide which of these must be addressed immediately and which problems do not appear critical but may escalate over time. Identify evidence from the case to support your decisions by determining what information or data is essential to addressing the core problems and what information is not relevant or is misleading.
  • Explore alternative solutions . As noted, case analysis scenarios rarely have only one correct answer. Therefore, it is important to keep in mind that the process of analyzing the case and diagnosing core problems, while based on evidence, is a subjective process open to various avenues of interpretation. This means that you must consider alternative solutions or courses of action by critically examining strengths and weaknesses, risk factors, and the differences between short and long-term solutions. For each possible solution or course of action, consider the consequences they may have related to their implementation and how these recommendations might lead to new problems. Also, consider thinking about your recommended solutions or courses of action in relation to issues of fairness, equity, and inclusion.
  • Decide on a final set of recommendations . The last stage in preparing to write a case analysis paper is to assert an opinion or viewpoint about the recommendations needed to help resolve the core problems as you see them and to make a persuasive argument for supporting this point of view. Prepare a clear rationale for your recommendations based on examining each element of your analysis. Anticipate possible obstacles that could derail their implementation. Consider any counter-arguments that could be made concerning the validity of your recommended actions. Finally, describe a set of criteria and measurable indicators that could be applied to evaluating the effectiveness of your implementation plan.

Use these steps as the framework for writing your paper. Remember that the more detailed you are in taking notes as you critically examine each element of the case, the more information you will have to draw from when you begin to write. This will save you time.

NOTE : If the process of preparing to write a case analysis paper is assigned as a student group project, consider having each member of the group analyze a specific element of the case, including drafting answers to the corresponding questions used by your professor to frame the analysis. This will help make the analytical process more efficient and ensure that the distribution of work is equitable. This can also facilitate who is responsible for drafting each part of the final case analysis paper and, if applicable, the in-class presentation.

Framework for Case Analysis . College of Management. University of Massachusetts; Hawes, Jon M. "Teaching is Not Telling: The Case Method as a Form of Interactive Learning." Journal for Advancement of Marketing Education 5 (Winter 2004): 47-54; Rasche, Christoph and Achim Seisreiner. Guidelines for Business Case Analysis . University of Potsdam; Writing a Case Study Analysis . University of Arizona Global Campus Writing Center; Van Ness, Raymond K. A Guide to Case Analysis . School of Business. State University of New York, Albany; Writing a Case Analysis . Business School, University of New South Wales.

Structure and Writing Style

A case analysis paper should be detailed, concise, persuasive, clearly written, and professional in tone and in the use of language . As with other forms of college-level academic writing, declarative statements that convey information, provide a fact, or offer an explanation or any recommended courses of action should be based on evidence. If allowed by your professor, any external sources used to support your analysis, such as course readings, should be properly cited under a list of references. The organization and structure of case analysis papers can vary depending on your professor’s preferred format, but its structure generally follows the steps used for analyzing the case.

Introduction

The introduction should provide a succinct but thorough descriptive overview of the main facts, issues, and core problems of the case . The introduction should also include a brief summary of the most relevant details about the situation and organizational setting. This includes defining the theoretical framework or conceptual model on which any questions were used to frame your analysis.

Following the rules of most college-level research papers, the introduction should then inform the reader how the paper will be organized. This includes describing the major sections of the paper and the order in which they will be presented. Unless you are told to do so by your professor, you do not need to preview your final recommendations in the introduction. U nlike most college-level research papers , the introduction does not include a statement about the significance of your findings because a case analysis assignment does not involve contributing new knowledge about a research problem.

Background Analysis

Background analysis can vary depending on any guiding questions provided by your professor and the underlying concept or theory that the case is based upon. In general, however, this section of your paper should focus on:

  • Providing an overarching analysis of problems identified from the case scenario, including identifying events that stakeholders find challenging or troublesome,
  • Identifying assumptions made by each stakeholder and any apparent biases they may exhibit,
  • Describing any demands or claims made by or forced upon key stakeholders, and
  • Highlighting any issues of concern or complaints expressed by stakeholders in response to those demands or claims.

These aspects of the case are often in the form of behavioral responses expressed by individuals or groups within the organizational setting. However, note that problems in a case situation can also be reflected in data [or the lack thereof] and in the decision-making, operational, cultural, or institutional structure of the organization. Additionally, demands or claims can be either internal and external to the organization [e.g., a case analysis involving a president considering arms sales to Saudi Arabia could include managing internal demands from White House advisors as well as demands from members of Congress].

Throughout this section, present all relevant evidence from the case that supports your analysis. Do not simply claim there is a problem, an assumption, a demand, or a concern; tell the reader what part of the case informed how you identified these background elements.

Identification of Problems

In most case analysis assignments, there are problems, and then there are problems . Each problem can reflect a multitude of underlying symptoms that are detrimental to the interests of the organization. The purpose of identifying problems is to teach students how to differentiate between problems that vary in severity, impact, and relative importance. Given this, problems can be described in three general forms: those that must be addressed immediately, those that should be addressed but the impact is not severe, and those that do not require immediate attention and can be set aside for the time being.

All of the problems you identify from the case should be identified in this section of your paper, with a description based on evidence explaining the problem variances. If the assignment asks you to conduct research to further support your assessment of the problems, include this in your explanation. Remember to cite those sources in a list of references. Use specific evidence from the case and apply appropriate concepts, theories, and models discussed in class or in relevant course readings to highlight and explain the key problems [or problem] that you believe must be solved immediately and describe the underlying symptoms and why they are so critical.

Alternative Solutions

This section is where you provide specific, realistic, and evidence-based solutions to the problems you have identified and make recommendations about how to alleviate the underlying symptomatic conditions impacting the organizational setting. For each solution, you must explain why it was chosen and provide clear evidence to support your reasoning. This can include, for example, course readings and class discussions as well as research resources, such as, books, journal articles, research reports, or government documents. In some cases, your professor may encourage you to include personal, anecdotal experiences as evidence to support why you chose a particular solution or set of solutions. Using anecdotal evidence helps promote reflective thinking about the process of determining what qualifies as a core problem and relevant solution .

Throughout this part of the paper, keep in mind the entire array of problems that must be addressed and describe in detail the solutions that might be implemented to resolve these problems.

Recommended Courses of Action

In some case analysis assignments, your professor may ask you to combine the alternative solutions section with your recommended courses of action. However, it is important to know the difference between the two. A solution refers to the answer to a problem. A course of action refers to a procedure or deliberate sequence of activities adopted to proactively confront a situation, often in the context of accomplishing a goal. In this context, proposed courses of action are based on your analysis of alternative solutions. Your description and justification for pursuing each course of action should represent the overall plan for implementing your recommendations.

For each course of action, you need to explain the rationale for your recommendation in a way that confronts challenges, explains risks, and anticipates any counter-arguments from stakeholders. Do this by considering the strengths and weaknesses of each course of action framed in relation to how the action is expected to resolve the core problems presented, the possible ways the action may affect remaining problems, and how the recommended action will be perceived by each stakeholder.

In addition, you should describe the criteria needed to measure how well the implementation of these actions is working and explain which individuals or groups are responsible for ensuring your recommendations are successful. In addition, always consider the law of unintended consequences. Outline difficulties that may arise in implementing each course of action and describe how implementing the proposed courses of action [either individually or collectively] may lead to new problems [both large and small].

Throughout this section, you must consider the costs and benefits of recommending your courses of action in relation to uncertainties or missing information and the negative consequences of success.

The conclusion should be brief and introspective. Unlike a research paper, the conclusion in a case analysis paper does not include a summary of key findings and their significance, a statement about how the study contributed to existing knowledge, or indicate opportunities for future research.

Begin by synthesizing the core problems presented in the case and the relevance of your recommended solutions. This can include an explanation of what you have learned about the case in the context of your answers to the questions provided by your professor. The conclusion is also where you link what you learned from analyzing the case with the course readings or class discussions. This can further demonstrate your understanding of the relationships between the practical case situation and the theoretical and abstract content of assigned readings and other course content.

Problems to Avoid

The literature on case analysis assignments often includes examples of difficulties students have with applying methods of critical analysis and effectively reporting the results of their assessment of the situation. A common reason cited by scholars is that the application of this type of teaching and learning method is limited to applied fields of social and behavioral sciences and, as a result, writing a case analysis paper can be unfamiliar to most students entering college.

After you have drafted your paper, proofread the narrative flow and revise any of these common errors:

  • Unnecessary detail in the background section . The background section should highlight the essential elements of the case based on your analysis. Focus on summarizing the facts and highlighting the key factors that become relevant in the other sections of the paper by eliminating any unnecessary information.
  • Analysis relies too much on opinion . Your analysis is interpretive, but the narrative must be connected clearly to evidence from the case and any models and theories discussed in class or in course readings. Any positions or arguments you make should be supported by evidence.
  • Analysis does not focus on the most important elements of the case . Your paper should provide a thorough overview of the case. However, the analysis should focus on providing evidence about what you identify are the key events, stakeholders, issues, and problems. Emphasize what you identify as the most critical aspects of the case to be developed throughout your analysis. Be thorough but succinct.
  • Writing is too descriptive . A paper with too much descriptive information detracts from your analysis of the complexities of the case situation. Questions about what happened, where, when, and by whom should only be included as essential information leading to your examination of questions related to why, how, and for what purpose.
  • Inadequate definition of a core problem and associated symptoms . A common error found in case analysis papers is recommending a solution or course of action without adequately defining or demonstrating that you understand the problem. Make sure you have clearly described the problem and its impact and scope within the organizational setting. Ensure that you have adequately described the root causes w hen describing the symptoms of the problem.
  • Recommendations lack specificity . Identify any use of vague statements and indeterminate terminology, such as, “A particular experience” or “a large increase to the budget.” These statements cannot be measured and, as a result, there is no way to evaluate their successful implementation. Provide specific data and use direct language in describing recommended actions.
  • Unrealistic, exaggerated, or unattainable recommendations . Review your recommendations to ensure that they are based on the situational facts of the case. Your recommended solutions and courses of action must be based on realistic assumptions and fit within the constraints of the situation. Also note that the case scenario has already happened, therefore, any speculation or arguments about what could have occurred if the circumstances were different should be revised or eliminated.

Bee, Lian Song et al. "Business Students' Perspectives on Case Method Coaching for Problem-Based Learning: Impacts on Student Engagement and Learning Performance in Higher Education." Education & Training 64 (2022): 416-432; The Case Analysis . Fred Meijer Center for Writing and Michigan Authors. Grand Valley State University; Georgallis, Panikos and Kayleigh Bruijn. "Sustainability Teaching using Case-Based Debates." Journal of International Education in Business 15 (2022): 147-163; Hawes, Jon M. "Teaching is Not Telling: The Case Method as a Form of Interactive Learning." Journal for Advancement of Marketing Education 5 (Winter 2004): 47-54; Georgallis, Panikos, and Kayleigh Bruijn. "Sustainability Teaching Using Case-based Debates." Journal of International Education in Business 15 (2022): 147-163; .Dean,  Kathy Lund and Charles J. Fornaciari. "How to Create and Use Experiential Case-Based Exercises in a Management Classroom." Journal of Management Education 26 (October 2002): 586-603; Klebba, Joanne M. and Janet G. Hamilton. "Structured Case Analysis: Developing Critical Thinking Skills in a Marketing Case Course." Journal of Marketing Education 29 (August 2007): 132-137, 139; Klein, Norman. "The Case Discussion Method Revisited: Some Questions about Student Skills." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 30-32; Mukherjee, Arup. "Effective Use of In-Class Mini Case Analysis for Discovery Learning in an Undergraduate MIS Course." The Journal of Computer Information Systems 40 (Spring 2000): 15-23; Pessoa, Silviaet al. "Scaffolding the Case Analysis in an Organizational Behavior Course: Making Analytical Language Explicit." Journal of Management Education 46 (2022): 226-251: Ramsey, V. J. and L. D. Dodge. "Case Analysis: A Structured Approach." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 27-29; Schweitzer, Karen. "How to Write and Format a Business Case Study." ThoughtCo. https://www.thoughtco.com/how-to-write-and-format-a-business-case-study-466324 (accessed December 5, 2022); Reddy, C. D. "Teaching Research Methodology: Everything's a Case." Electronic Journal of Business Research Methods 18 (December 2020): 178-188; Volpe, Guglielmo. "Case Teaching in Economics: History, Practice and Evidence." Cogent Economics and Finance 3 (December 2015). doi:https://doi.org/10.1080/23322039.2015.1120977.

Writing Tip

Ca se Study and Case Analysis Are Not the Same!

Confusion often exists between what it means to write a paper that uses a case study research design and writing a paper that analyzes a case; they are two different types of approaches to learning in the social and behavioral sciences. Professors as well as educational researchers contribute to this confusion because they often use the term "case study" when describing the subject of analysis for a case analysis paper. But you are not studying a case for the purpose of generating a comprehensive, multi-faceted understanding of a research problem. R ather, you are critically analyzing a specific scenario to argue logically for recommended solutions and courses of action that lead to optimal outcomes applicable to professional practice.

To avoid any confusion, here are twelve characteristics that delineate the differences between writing a paper using the case study research method and writing a case analysis paper:

  • Case study is a method of in-depth research and rigorous inquiry ; case analysis is a reliable method of teaching and learning . A case study is a modality of research that investigates a phenomenon for the purpose of creating new knowledge, solving a problem, or testing a hypothesis using empirical evidence derived from the case being studied. Often, the results are used to generalize about a larger population or within a wider context. The writing adheres to the traditional standards of a scholarly research study. A case analysis is a pedagogical tool used to teach students how to reflect and think critically about a practical, real-life problem in an organizational setting.
  • The researcher is responsible for identifying the case to study; a case analysis is assigned by your professor . As the researcher, you choose the case study to investigate in support of obtaining new knowledge and understanding about the research problem. The case in a case analysis assignment is almost always provided, and sometimes written, by your professor and either given to every student in class to analyze individually or to a small group of students, or students select a case to analyze from a predetermined list.
  • A case study is indeterminate and boundless; a case analysis is predetermined and confined . A case study can be almost anything [see item 9 below] as long as it relates directly to examining the research problem. This relationship is the only limit to what a researcher can choose as the subject of their case study. The content of a case analysis is determined by your professor and its parameters are well-defined and limited to elucidating insights of practical value applied to practice.
  • Case study is fact-based and describes actual events or situations; case analysis can be entirely fictional or adapted from an actual situation . The entire content of a case study must be grounded in reality to be a valid subject of investigation in an empirical research study. A case analysis only needs to set the stage for critically examining a situation in practice and, therefore, can be entirely fictional or adapted, all or in-part, from an actual situation.
  • Research using a case study method must adhere to principles of intellectual honesty and academic integrity; a case analysis scenario can include misleading or false information . A case study paper must report research objectively and factually to ensure that any findings are understood to be logically correct and trustworthy. A case analysis scenario may include misleading or false information intended to deliberately distract from the central issues of the case. The purpose is to teach students how to sort through conflicting or useless information in order to come up with the preferred solution. Any use of misleading or false information in academic research is considered unethical.
  • Case study is linked to a research problem; case analysis is linked to a practical situation or scenario . In the social sciences, the subject of an investigation is most often framed as a problem that must be researched in order to generate new knowledge leading to a solution. Case analysis narratives are grounded in real life scenarios for the purpose of examining the realities of decision-making behavior and processes within organizational settings. A case analysis assignments include a problem or set of problems to be analyzed. However, the goal is centered around the act of identifying and evaluating courses of action leading to best possible outcomes.
  • The purpose of a case study is to create new knowledge through research; the purpose of a case analysis is to teach new understanding . Case studies are a choice of methodological design intended to create new knowledge about resolving a research problem. A case analysis is a mode of teaching and learning intended to create new understanding and an awareness of uncertainty applied to practice through acts of critical thinking and reflection.
  • A case study seeks to identify the best possible solution to a research problem; case analysis can have an indeterminate set of solutions or outcomes . Your role in studying a case is to discover the most logical, evidence-based ways to address a research problem. A case analysis assignment rarely has a single correct answer because one of the goals is to force students to confront the real life dynamics of uncertainly, ambiguity, and missing or conflicting information within professional practice. Under these conditions, a perfect outcome or solution almost never exists.
  • Case study is unbounded and relies on gathering external information; case analysis is a self-contained subject of analysis . The scope of a case study chosen as a method of research is bounded. However, the researcher is free to gather whatever information and data is necessary to investigate its relevance to understanding the research problem. For a case analysis assignment, your professor will often ask you to examine solutions or recommended courses of action based solely on facts and information from the case.
  • Case study can be a person, place, object, issue, event, condition, or phenomenon; a case analysis is a carefully constructed synopsis of events, situations, and behaviors . The research problem dictates the type of case being studied and, therefore, the design can encompass almost anything tangible as long as it fulfills the objective of generating new knowledge and understanding. A case analysis is in the form of a narrative containing descriptions of facts, situations, processes, rules, and behaviors within a particular setting and under a specific set of circumstances.
  • Case study can represent an open-ended subject of inquiry; a case analysis is a narrative about something that has happened in the past . A case study is not restricted by time and can encompass an event or issue with no temporal limit or end. For example, the current war in Ukraine can be used as a case study of how medical personnel help civilians during a large military conflict, even though circumstances around this event are still evolving. A case analysis can be used to elicit critical thinking about current or future situations in practice, but the case itself is a narrative about something finite and that has taken place in the past.
  • Multiple case studies can be used in a research study; case analysis involves examining a single scenario . Case study research can use two or more cases to examine a problem, often for the purpose of conducting a comparative investigation intended to discover hidden relationships, document emerging trends, or determine variations among different examples. A case analysis assignment typically describes a stand-alone, self-contained situation and any comparisons among cases are conducted during in-class discussions and/or student presentations.

The Case Analysis . Fred Meijer Center for Writing and Michigan Authors. Grand Valley State University; Mills, Albert J. , Gabrielle Durepos, and Eiden Wiebe, editors. Encyclopedia of Case Study Research . Thousand Oaks, CA: SAGE Publications, 2010; Ramsey, V. J. and L. D. Dodge. "Case Analysis: A Structured Approach." Exchange: The Organizational Behavior Teaching Journal 6 (November 1981): 27-29; Yin, Robert K. Case Study Research and Applications: Design and Methods . 6th edition. Thousand Oaks, CA: Sage, 2017; Crowe, Sarah et al. “The Case Study Approach.” BMC Medical Research Methodology 11 (2011):  doi: 10.1186/1471-2288-11-100; Yin, Robert K. Case Study Research: Design and Methods . 4th edition. Thousand Oaks, CA: Sage Publishing; 1994.

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How To Write A Case Study [Template plus 20+ Examples]

how to make a introduction in case study

In an era where every niche seems completely saturated, learning how to write a case study is one of the most important time investments you can make in your business.

That’s because case studies help you present a compelling story of success to bottom-of–funnel decision makers. Do it right, and a solid case study can greatly increase your chances of closing new deals.

A 2023 study from the Content Marketing Institute found that 36% of B2B marketers consider case studies to be effective tools for converting prospects into customers.

In this article, I’ll show you step-by-step exactly how to write a case study that makes an impact. Along the way, I’ll highlight several stellar case studies that illustrate how to do it right.

What you will learn

  • What a case study is and what it's not.
  • How an effective case study can help establish you as an expert and land more clients.
  • How to choose the right topic for your case study, taking into account client successes and broad appeal in your customer's industry.
  • The essential parts of a good case study and how to write each one.
  • Style and formatting points that will make your case study stand out for readers to understand.
  • 4 tips for conducting an effective client interview.
  • 6 real-life case studies that you can use as examples for creating your own customer stories.

What is a case study?

A case study is a detailed story about how your products or services helped a client overcome a challenge or meet a goal. Its main purpose is to prove to potential customers that you understand their problems and have the experience and expertise to help solve them.

But, even though a case study can help you attract and win customers, it's not just an advertisement for your offerings.

In truth, your company shouldn’t even be the main focus of a good case study.

Instead, a winning case study follows a successful business transformation from beginning to end and shows how you made it all possible for your client.

An example of a case study that conveys a strong customer story is the deep dive we did into how ClickUp used SurferSEO to boost their blog traffic by 85% in a year.

Why you should write a case study

The most obvious reason why you should write a case study is that it's a great way to show potential customers how others in their position have benefited from your product or service.

Here are a few of the key benefits of writing a case study, all of which can help you turn readers into customers.

Demonstrates expertise 

A well-written case study shows clearly how your company solved a complex problem or helped a particular customer make improvements using your solution.

This is the sort of expertise other potential clients will look for when they run into the same sort of issues.

For instance, one of CrowdStrike's case studies shows how they helped Vijilan scale its logging capacity so they could stop turning away business.

how to make a introduction in case study

This positions CrowdStrike as experts in helping deal with log management issues.

Other companies dealing with their own logging problems will definitely find this to be a compelling story. And you can bet CrowdStrike will be on their short list of potential solution providers after reading this case study.

Educates potential customers 

You might have the best product on the market, but it won't do you any good if potential clients don't understand how it might help them.

A case study breaks down those barriers by showing real-life examples of your product in action, helping other customers solve their problems.

A good example is the Trello case study library .

Each story gives detailed examples showing how the customer uses Trello and includes actual screenshots from their workflows.

Here is an interesting snapshot from the BurgerFi example.

how to make a introduction in case study

Here, you get a glimpse of a live Trello board that BurgerFi uses to manage their marketing assets.

By showing how existing clients use your product, you make it a lot easier for future customers to imagine how it might work for their needs, too.

Generates leads 

A strong case study is a valuable piece of content that provides insights and can help companies make decisions.

Many of them would be happy to give you their contact information in exchange for the chance to read about potential solutions to their problems.

That combination of valuable content and a hungry market makes case studies great tools for lead generation.

You can either gate part of your case study and leave the rest of it public, or require an email address and other contact information in order to download the full study.

That's the approach Pulsara took in detailing how their telehealth communication platform helped EvergreenHealth improve efficiency:

how to make a introduction in case study

The names and addresses you collect with this approach will be about as warm as you could ever hope for since they probably have the same sort of problems you solved in your case study.

Along the same lines, case studies can be extremely effective in upselling or cross-selling other products to the decision-makers who read them.

And they are great tools for persuading a client to make a purchase with you.

Indeed, a great case study can often be the "final straw" that lands you a client considering your services.

A 2023 survey by Uplift Content , for example, found that 39% of SaaS marketers ranked case studies as being very effective for increasing sales.

That made it their #1 tactic for the second year in a row.

Builds trust 

Potential clients want to know that they can trust you to handle their business with care and to deliver on your promises.

A case study is the perfect vehicle to show that you can do just that.

Take advantage of that opportunity to present statistics, client testimonials, graphics, and any other proof that you can get results.

For example, in their case study about helping a law firm uncover critical data for a tricky case, Kroll shows us just how much they were able to cut through the noise:

how to make a introduction in case study

Any law firm staring at its own pile of documents to search through would love to have that haystack reduced by a factor of 32.5x, too.

And Sodexo makes good use of customer testimonials in their case studies, like this quote from the procurement lead for a Montana mining company.

how to make a introduction in case study

Having existing customers tell the world that they count on you is powerful free advertising and builds trust with your readers. That can help transform them into customers down the road.

Provides social proof 

You can also use your case study to show that your product or service works in a specific industry.

Real-world examples of customer success stories position you as someone their peers and competitors can turn to, too.

For instance, Stericycle details how they helped seven children's hospitals get a handle on their "sharps" management:

how to make a introduction in case study

They also include glowing quotes from hospital leaders in the same study.

Other hospitals looking for help in disposing of their hazardous waste will know right away after reading this study that Stericycle understands their needs.

This is the type of social proof that can really help establish you as a go-to solution for the industries you serve.

How to choose a subject for your case study

In order to get the most bang for your buck from your case study, you need to make sure you pick a topic that resonates with your target audience. And one that can make your solution look its best.

Below are 4 ways to select the best subject for your case study.

1. Choose a popular topic

Make sure the topic you tackle in your case study is one that most of your potential clients are searching for.

You may be tempted to highlight an unusual project that you find especially interesting. But that usually won't have the same sort of selling power as a topic with more broad appeal.

For instance, Aruba Networks has helped colleges and universities with all sorts of networking projects. Some of those involve really fascinating edge cases like research labs, esports arenas, and other innovative solutions.

But what most schools are looking for in a network upgrade is improving connectivity across campus while enhancing security and saving money.

Those are exactly the outcomes Aruba focuses on in its Doane University case study .

Remember that your case study is likely to be read by decision-makers at the bottom of the sales funnel who are ready to buy.

Your content needs to resonate with them and address the questions they want answered in order to make their decision.

Aruba tackles their customers' concerns head-on throughout the Doane study, as you can see from their section headings:

  • "Realizing a hyper-connected vision"
  • "10X throughput eliminates academic barriers"
  • "More secure with less effort"
  • "Greener and more resilient at better insurance rates"

College administrators can see at a glance that Aruba understands their needs and has helped other institutions with similar problems.

2. Consider relevance and attractiveness

Although you want to choose a popular subject for your case study (as discussed above), it's also important to make sure it's relevant to your target audience.

For instance, if you provide design services, a one-off project you did to help a local company set up its website might have taught you a lot. But most of your potential readers will be much more interested in reading about how your designs helped that client improve brand perception.

It’s also best to choose a situation where your product or service is used in a way that you expect most potential users to adopt. 

For example, Allegion's Mount Holyoke case study (PDF) details how one campus used their products to move to contactless and mobile entry systems.

Students today demand more control over their physical security than ever before. And the administrative overhead of managing thousands of doors and physical keys on a college campus is enormous.

As a result, most schools are interested in using technology to enable their students and reduce staffing costs.

Allegion hits those points dead-on with this case study.

An added benefit of choosing a topic with broad appeal among your target client base is that you can use the content in your normal distribution channels.

For example, you can publish all or part of it as a blog post, include it in your newsletter, or use it as the basis for a YouTube video. Wherever your audience is, that's probably a good place to promote your case study.

3. Identify a 5 star use case

A case study is like a sales executive for your company.

It needs to show your product or service in the best possible light and highlight its features and benefits while distinguishing it from other products.

Choose a client example that really makes your solution look like a superstar and showcases its most outstanding attributes.

You should also avoid showing your product or service being used in a novel or completely innovative way. While that can provide some solid insight, you risk alienating your typical client who needs to know that you can solve their specific problem.

Instead, your case study should demonstrate how your solution took on a common industry problem and delivered stellar results.

A great example is Beckman Coulter's case study that details their work with Alverno Labs.

The objective was to reduce the time it took Alverno to deliver lab test results while reducing operating costs, which are common goals for many testing labs.

The case study presents a detailed description of how Beckman Coulter implemented a continuous improvement process for Alverno. They enhance the discussion with several meaty visuals like this project roadmap:

how to make a introduction in case study

They also include plenty of tangible data to prove their success.

how to make a introduction in case study

And of course, include direct client testimonials:

how to make a introduction in case study

From top to bottom, this case study proves that Beckman Coulter understands their customers business needs and can offer top-notch solutions.

4. Find a satisfied customer

You're going to need input from your client in order to build the most complete and accurate case study that you can.

So when you're trying to choose a customer story to use, look for a client who is happy to share their positive experience working with you.

Try to find one who seems genuinely eager to talk so that they will be timely with their responses to your questions.

If you have a customer who is willing to sit down for an actual interview with you, they're a great candidate. You'll get answers quickly, and the client is obviously comfortable enough with your relationship to talk with you directly.

A good example that focuses on a satisfied client comes from Aerofloat, an Australian wastewater treatment company.

In their Norco Food Case Study , Aerofloat reports that Norco hired them for additional projects as a result of their successful prior engagement:

It's always good to show prospective clients that your existing customers stick with you.

So try to pick a case study done in collaboration with a current client, not one from the past.

Aerofloat also highlights their ongoing relationship with Norco by also including them in the customer list on their About page:

how to make a introduction in case study

How to write a case study

Now that we’ve covered the benefits of writing a case study and figured out how to pick the best topic for your situation, it’s time to get down to the business of writing.

Below is a rundown of the sections that make up the structure of a typical case study. For each piece, I’ll show you what types of content you should include and give you an example of a study that does it right.

Here are 8 tips to writing a case study.

1. Attention grabbing title

The title of your case study needs to grab potential readers attention and convince them that this is a valuable piece of content.

Make your title catchy, concise, and descriptive, just like you would for a good blog post. But you also need to make sure you give your readers a clear idea of what the case study is about.

Offer them at least a hint of the type of results you were able to deliver, too.

It’s a good idea to use numbers here – the higher, the better. It's especially effective if you can show how quickly you got results and how much money your client saved or made as a result of working with you.

Our ClickUp case study that I mentioned earlier is a good example. The full title is

SurferSEO Helps ClickUp Publish 150+ Articles And Achieve Blog Traffic Growth of 85% in 12 Months.

Here are some other case studies that make effective use of numbers in their titles:

  • Healthcare Administrative Partners Increases Online Patient Payments by 20% in Two Months
  • Case Study: Taylor Kotwa, Sprinter, Increases FTP 7% in 4 months
  • Case Study: Lakeview Farms Reduced Downtime by 36% in 6 Months
  • CASELY case study: Improved first response time by 10x while experiencing 16,954% growth

This type of headline gives potential clients a sense that you will work with urgency to improve their bottom-line results.

2. Hook readers in your introduction

The introduction of your case study should set the stage for the comprehensive narrative that follows.

Give a brief description of the problem for context and quickly introduce the customer's story. Touch on the results you helped them achieve, but don't go overboard on details.

Overall, the introduction should give your reader just enough information to keep them engaged and ready to move into the heart of the case study.

It should also establish that they're in the right place and that you are the right person to be telling this story.

This case study about the cybersecurity program at Investors Bank includes a solid example of an effective introduction:

3. Highlight the challenge

This section should clearly outline the problem or challenge that your customer is facing.

Help your readers understand why a solution was necessary, and why that specific pain point was bothering the client. 

And, since this is the entire motivation for the project in the first place, don't skimp on details.

For instance, one of Verkada's case studies explains why maintaining security cameras is a huge challenge for Crystal Mountain Resort in Washington state. They start off with a direct quote from the resort's IT director:

The elevation tops out at a little over 7,000 feet, so the weather conditions can get extreme. We needed durable cameras capable of handling everything from snowstorms to 100 MPH winds.

That makes it crystal clear what sort of problem Crystal Mountain was facing.

The case study then adds more detail with separate subsections about hardware durability, image quality, and cumbersome footage retrieval.

By the time they finish reading this section, your readers should have no doubt about what the problem is and why a solution is needed.

4. Solve their problem

The solution section is one of the most important parts of a case study.

This is your chance to describe how your product or service provided a solution to the problem or challenge your client was having.

It's where you can really start to make a connection with potential new clients by showing them that you understand the issue at hand.

First, provide some details about how you analyzed the situation. The Kroll case study on handling critical legal data mentioned earlier does a great job of this with bullet points describing their research process.

how to make a introduction in case study

This type of analysis helps build confidence that you take a thorough approach to your engagements and are looking out for your clients best interests.

Now you can move on to describe the solution you and your client chose based on your investigation.

In their legal case study, Kroll determined that the best solution involved digitizing thousands of paper documents and using AI to analyze more than a million documents.

Kroll describes in detail how they used their RelativityOne system to achieve those goals:

how to make a introduction in case study

This level of detail helps prospective customers better understand the root cause of their problems and positions you as the right company to solve them.

5. Showcase your results

The results section is all about proving that you can actually deliver on the promise of your proposed solution. Go heavy on the details here, too, and make sure your readers understand the results you achieved.

Wherever possible, use specific numbers and data points to show exactly how effective your solution was for your client.

A good example is this BetterBricks case study showing how they helped an aerospace company slash energy costs.

They distilled their bottom line results into a simple table:

how to make a introduction in case study

The text of the study then goes into more detail about what these numbers mean, but this quick graphic lets readers know right away the scope of the results achieved.

Here is a sampling of BetterBrick’s more detailed explanation of their results in this case:

how to make a introduction in case study

This is your place to really crow about the success you achieved with your client, so make it as obvious as possible just how impactful you were.

6. Use multimedia well

One way to make a lasting impression on potential clients is to include relevant visuals throughout your case study.

Graphs, screenshots, and product photos help break up the text and make your study more engaging overall.

But they can also add details to your story and make a memorable visual impact beyond what mere words can accomplish.

We got a taste of that with the table of results in the BetterBricks example above, but that's just the start.

Inrix is a good example of a company that loads up its case studies with insightful and engaging media to tell a better story.

For instance, in their breakdown of a collaboration with the Pennsylvania Department of Transportation (DOT), Inrix uses charts, tables, and graphs throughout.

One innovative example is this diagram about crash distances:

how to make a introduction in case study

This really brings the idea to life in a way that words alone can't, and it's likely to stick with readers long after they've clicked off the case study.

Other types of media that companies use to good effect in their case studies include pictures of key client stakeholders, interactive charts, tables, and simple graphs.

You can see in this high-level overview that Inrix includes most of these in their Pennsylvania DOT case study:

how to make a introduction in case study

You can even use video to demonstrate your solution or to share a client testimonial.

If possible, include direct quotes from your client to add authenticity to the case study.

This will show potential customers that you and your existing client have a good relationship and that they value your work.

It’s pretty compelling stuff to have a ringing endorsement like this one from an EnergyCAP case study , to show your readers:

how to make a introduction in case study

You can place customer quotes throughout the case study to highlight important points, and you should definitely try to include at least one that shows overall customer satisfaction.

Chances are you have some of these quotes already in the form of testimonials or as part of the customer interview you conducted in preparing for your case study (more on that later).

You can use those quotes here if they fit the context of your case study.

That will save time and red tape for both you and your client since they'll be reviewing your final case study before it goes live anyway.

8. Conclusion

The conclusion should summarize the key points of the case study and reinforce the success of the solution. It could also include a call to action, encouraging readers to try your product or service or to get in touch for more information.

You might also include information about future plans with the client to reinforce the idea that your relationship is strong and ongoing.

That's the approach that Gravitate Design used in their case study about helping GoBeyond with their bounce rates and time on page:

how to make a introduction in case study

Like the introduction, the conclusion section of a case study should be short and sweet, giving just enough detail to make the reader want to hear more from you.

Checklist for case studies

Beyond the story that you want to tell in your case study, you also need to pay attention to several other factors. Indeed, the layout and format of your study can have a big impact on how effective it is at keeping your readers engaged and delivering your message.

Here is a quick checklist for creating case studies.

Break up the text with headings and subheadings

Big blocks of text can be intimidating and make it tough for your audience to stay on track.

In contrast, a case study with clear headings and subheadings throughout breaks up the story and gives readers visual clues about what's coming.

This also makes the case study easier for readers to scan and helps you keep each section focused on a single idea.

Use bullet points for lists or key points

Along the same lines, bullet points let you present important information in small bits that are easy for readers to digest.

Some of the best uses of bullet points include:

  • A series of facts or tips
  • A list of product features or benefits
  • A quick summary of results
  • Steps in a how-to procedure
  • A rundown of multiple statistics

For these bite-sized hunks of detail, bullets often make for a much cleaner and readable list than jamming all the information into a single paragraph. 

Bullet point lists also make great quick references for readers to come back to later.

Highlight key points with bold or italic text

Bold and italic text draws the reader’s eyes to the words you highlight, which lets you really drive home key ideas in your case study.

You can use this technique to introduce new terms, place emphasis on a sentence, and showcase important parts of your approach or results.

Like bullet points, bold and italic text also give readers a visual anchor for reference as they’re working through your document.

Make paragraphs short and to-the-point

Aim for 3-4 sentences per paragraph to keep the text readable and engaging. Each paragraph should focus on one main idea to support the subject of the section it’s in.

Using short paragraphs tells readers at a glance that there are break points throughout your case study and helps keep them engaged.

Keep consistent length across the case study 

Throughout all parts of your case study, try to cover your main points in detail without overwhelming the reader.

Your potential clients are there to find a possible solution to their problems, not to read a novel.

Give them an inviting document structure and then lead them through each section with clear explanations and no fluff.

Adjust the length based on the complexity of the subject 

The flip side of the tip above about keeping your case study tight and focused is that you need to make sure you cover your topic in detail.

Very complex topics will require more explanation and longer overall case studies than simpler subjects.

For example, a case study about paving a church parking lot might be pretty short.

But a story about implementing a comprehensive information security program for a state government will likely be much longer and more detailed.

Include a summary with some takeaways 

At the end of your case study, summarize the key takeaways and results to reinforce the message you’re trying to get across.

Briefly recap the problem your client was facing, the solution you came up with, and the results you achieved. Think of this as an executive summary that gives business leaders the TL;DR version of your customer’s success story.

Content Snare includes an eye-catching summary in the case study detailing their efforts to grow their email list:

how to make a introduction in case study

The overall goal is to leave potential clients with a good last impression and invite them to contact you with questions.

Use visuals to break up text and illustrate points

As we saw in the "How to write a case study" section above, graphs, charts, or images can make your case study more engaging and help illustrate key ideas or results. They also add visual variety and help break up the monotony of text-heavy studies.

Use these types of visuals to help keep your readers interested and make your story more complete.

Below is a high-level view of a portion of Advanced HPC’s Philips case study , which does a great job of incorporating the points in this section. It pulls together all the visual elements to create a very appealing reader experience.

how to make a introduction in case study

4 tips to create an effective case study

You’re going to need your customer’s input in order to craft the most effective case study possible. It’s their story, after all, and they’re the ones who know what it was like to work with you throughout the process.

They also hold key details that you probably don’t know.

So, once you have their permission to write about the project, you’ll need to talk to them about the specifics. But you also want to respect their time.

Here are 4 tips on how to conduct an interview for your case study.

Prepare questions in advance

Know what information you need and prepare questions to pull that information from your client.

Doing this in advance will help you formulate the questions and sequence them properly to avoid bias and wasting time.

Have a few follow-up or emergency questions ready, too, in case you run into a dead end. 

Record the interview

With your client’s permission, record the interview to ensure accuracy and so you can come back to listen to important points again.

This helps you avoid bothering your clients with follow-up questions and also gives you more freedom to let the interview evolve in a natural conversational manner. 

Make the interviewee comfortable

Explain the interview process to your client, why you're asking them to talk, and how the information will be used. Remember that you are the one who “needs” the case study, not them. 

So you go the extra mile to ensure that your guest is as comfortable as possible.

That also means being flexible with the format of your interview.

If your client doesn’t have time for calls, offer to trade voice notes. Or give them a shared Google document for trading questions and answers.

And if you do end up conducting a live interview, agree to meet at a time that’s best for them.

No matter how you end up conducting your interview, make it clear that your client will be able to review the final version before you make it live.

Give them veto power over any of the information you put together.

Ask open-ended questions

Even though you’ll start out with a series of questions you need answered, don’t limit yourself to those. Instead, encourage your interviewee to share their story in their own words. 

Leave some room to ask open-ended questions and let the conversation evolve naturally.

Here are a few examples of the types of questions for discussion:

  • What would you do differently if you were starting this project again?
  • What do you think about XYZ emerging technology in relation to your industry's challenges?
  • What sorts of other projects do you think Acme's solution might help with?
  • How do your company's day-to-day operations and needs from how the relevant theories describe the industry?

Especially if you’re recording the interview, as suggested above, you can go back later and put things in a logical order.

Once you have all of the raw material, then you can curate the information and edit it to come up with your final product.

6 case study examples to follow

Now that you know what makes a great case study and how to write one, let's finish up with a few more top-notch business case study examples.

Each of the case studies below hits many of the points in this article, but they all take a different approach. Use them for inspiration or when you need a little refresher on how to write a case study.

This case study provides a detailed account of how Monograph, a B2B SaaS company, improved its marketing projects and reporting using Databox.

It's a pretty straightforward example of the best practices we've discussed in this article, with an introduction followed by background information on the company (Monograph) and the challenges they faced with manual tracking of each data point.

It describes the solution that Databox helped put in place and then shows clear evidence of the results their customer achieved:

how to make a introduction in case study

Case studies don't come much more textbook than this one, which makes it a great example to follow.

Growth Design on Airbnb

Growth Design takes a totally unique approach to case studies, each one is an online comic book!

Read through their case study about Airbnb , though, and you'll see that it meets all the criteria for a complete case study even if the setup is a little different than most.

Here is a look at the landing page for this beauty of a study.

how to make a introduction in case study

The author starts out with a problem: the need to book a place to stay in a foreign country in a hurry. So he heads to Airbnb but ends up overwhelmed by choices and bounces to Google Maps to make his reservation.

He concludes that Airbnb was not the full solution for him in this case and suggests several places they could make improvements.

It's a pretty neat dive into a well-known user experience, and it's also a great lesson in how to use visuals to keep your readers engaged in your case study.

This case study about how Grubhub used Webflow to build a viral marketing campaign hits you with stunning results right off the bat.

how to make a introduction in case study

From there, the study tells the full story of how they achieved these results. Even though the author doesn't explicitly break out the problem, solution, and results sections, she still takes the reader through that journey.

It's a concise but complete story broken up by a few choice graphics.

This case study dives into how Employment Hero uses Slack to keep their remote employees engaged and productive as the company grows.

It details how Employee Hero continuously reevaluates its app usage to identify possible solutions to issues that arise and how Slack consistently helps meet the challenges.

how to make a introduction in case study

This case study is a great example of picking a use case that is relevant to most of Slack's user base -- improving communication and productivity among remote employees.

Slack also makes effective use of quotes from the decision makers at Employment Hero.

We already talked about our ClickUp case study a little earlier in this article, but it's worth a deeper look as an example to help guide your writing.

As you would expect, this case study hits main points we've covered here: problem statement, solution, and results.

But there are a couple of "extras" that make this one stand out.

For starters, it doesn't just present a single solution. It presents three , each one addressing a different aspect of ClickUp's objectives and each one showcasing a different Surfer feature set. 

For example, solution #1 describes how ClickUp improved their on-page SEO with the help of Surfer’s Content Editor . 

This case study also provides a high-level view of ClickUp’s project management processes and describes how they incorporated Surfer into their content workflows.

It’s a really instructive example of how you can use a case study to help prospective clients envision how your product might fit their situation.

Zoom’s library

This one isn't a single case study at all but a library full of case studies designed to help potential clients understand how Zoom can benefit them.

how to make a introduction in case study

Here you'll find stories about how very recognizable organizations like Capital One, Vox Media, and the University of Miami are using Zoom to boost connectivity and productivity among remote workers.

There are plenty of good examples here that you can consult when you get stuck writing your own case study.

And the entire library is a great example of using case studies to demonstrate expertise with the help of social proof:

The Zoom case study library also makes liberal use of video, which might give you some good ideas about how you can, too.

Key takeaways

  • Case studies are one of the best ways to generate leads and convert readers into customers.
  • By showcasing the success you've had helping previous customers, case studies position you as an expert in your field.
  • Good case studies can be the final push businesses need in their decision making process to buy your products or services.
  • Pick a use case for your study that has broad appeal in your industry and that showcases your products and services in the best light possible.
  • Effective case studies follow a predictable format: introduction, problem statement, solution, results, and conclusion.
  • Make your case studies as readable as possible by including visual elements like graphs and images, and by breaking up the text into smaller sections, subsections, and concise paragraphs.
  • Be as thorough and accurate as possible by conducting client interviews to gather background information for your case studies.
  • Follow top-notch case studies for inspiration and ideas about how to make your own case studies as good as possible.

A well-written case study shines a light on your products and services like nothing else and helps position you as an expert in your field.

By showing that you understand their problems and have helped others overcome similar issues, you can prove to prospective clients that you are well-suited to help them, too.

Use the step-by-step instructions in this article to craft a case study that helps you and your company stand out from the competition.

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Blog Business

How to Present a Case Study like a Pro (With Examples)

By Danesh Ramuthi , Sep 07, 2023

How Present a Case Study like a Pro

Okay, let’s get real: case studies can be kinda snooze-worthy. But guess what? They don’t have to be!

In this article, I will cover every element that transforms a mere report into a compelling case study, from selecting the right metrics to using persuasive narrative techniques.

And if you’re feeling a little lost, don’t worry! There are cool tools like Venngage’s Case Study Creator to help you whip up something awesome, even if you’re short on time. Plus, the pre-designed case study templates are like instant polish because let’s be honest, everyone loves a shortcut.

Click to jump ahead: 

What is a case study presentation?

What is the purpose of presenting a case study, how to structure a case study presentation, how long should a case study presentation be, 5 case study presentation examples with templates, 6 tips for delivering an effective case study presentation, 5 common mistakes to avoid in a case study presentation, how to present a case study faqs.

A case study presentation involves a comprehensive examination of a specific subject, which could range from an individual, group, location, event, organization or phenomenon.

They’re like puzzles you get to solve with the audience, all while making you think outside the box.

Unlike a basic report or whitepaper, the purpose of a case study presentation is to stimulate critical thinking among the viewers. 

The primary objective of a case study is to provide an extensive and profound comprehension of the chosen topic. You don’t just throw numbers at your audience. You use examples and real-life cases to make you think and see things from different angles.

how to make a introduction in case study

The primary purpose of presenting a case study is to offer a comprehensive, evidence-based argument that informs, persuades and engages your audience.

Here’s the juicy part: presenting that case study can be your secret weapon. Whether you’re pitching a groundbreaking idea to a room full of suits or trying to impress your professor with your A-game, a well-crafted case study can be the magic dust that sprinkles brilliance over your words.

Think of it like digging into a puzzle you can’t quite crack . A case study lets you explore every piece, turn it over and see how it fits together. This close-up look helps you understand the whole picture, not just a blurry snapshot.

It’s also your chance to showcase how you analyze things, step by step, until you reach a conclusion. It’s all about being open and honest about how you got there.

Besides, presenting a case study gives you an opportunity to connect data and real-world scenarios in a compelling narrative. It helps to make your argument more relatable and accessible, increasing its impact on your audience.

One of the contexts where case studies can be very helpful is during the job interview. In some job interviews, you as candidates may be asked to present a case study as part of the selection process.

Having a case study presentation prepared allows the candidate to demonstrate their ability to understand complex issues, formulate strategies and communicate their ideas effectively.

Case Study Example Psychology

The way you present a case study can make all the difference in how it’s received. A well-structured presentation not only holds the attention of your audience but also ensures that your key points are communicated clearly and effectively.

In this section, let’s go through the key steps that’ll help you structure your case study presentation for maximum impact.

Let’s get into it. 

Open with an introductory overview 

Start by introducing the subject of your case study and its relevance. Explain why this case study is important and who would benefit from the insights gained. This is your opportunity to grab your audience’s attention.

how to make a introduction in case study

Explain the problem in question

Dive into the problem or challenge that the case study focuses on. Provide enough background information for the audience to understand the issue. If possible, quantify the problem using data or metrics to show the magnitude or severity.

how to make a introduction in case study

Detail the solutions to solve the problem

After outlining the problem, describe the steps taken to find a solution. This could include the methodology, any experiments or tests performed and the options that were considered. Make sure to elaborate on why the final solution was chosen over the others.

how to make a introduction in case study

Key stakeholders Involved

Talk about the individuals, groups or organizations that were directly impacted by or involved in the problem and its solution. 

Stakeholders may experience a range of outcomes—some may benefit, while others could face setbacks.

For example, in a business transformation case study, employees could face job relocations or changes in work culture, while shareholders might be looking at potential gains or losses.

Discuss the key results & outcomes

Discuss the results of implementing the solution. Use data and metrics to back up your statements. Did the solution meet its objectives? What impact did it have on the stakeholders? Be honest about any setbacks or areas for improvement as well.

how to make a introduction in case study

Include visuals to support your analysis

Visual aids can be incredibly effective in helping your audience grasp complex issues. Utilize charts, graphs, images or video clips to supplement your points. Make sure to explain each visual and how it contributes to your overall argument.

Pie charts illustrate the proportion of different components within a whole, useful for visualizing market share, budget allocation or user demographics.

This is particularly useful especially if you’re displaying survey results in your case study presentation.

how to make a introduction in case study

Stacked charts on the other hand are perfect for visualizing composition and trends. This is great for analyzing things like customer demographics, product breakdowns or budget allocation in your case study.

Consider this example of a stacked bar chart template. It provides a straightforward summary of the top-selling cake flavors across various locations, offering a quick and comprehensive view of the data.

how to make a introduction in case study

Not the chart you’re looking for? Browse Venngage’s gallery of chart templates to find the perfect one that’ll captivate your audience and level up your data storytelling.

Recommendations and next steps

Wrap up by providing recommendations based on the case study findings. Outline the next steps that stakeholders should take to either expand on the success of the project or address any remaining challenges.

Acknowledgments and references

Thank the people who contributed to the case study and helped in the problem-solving process. Cite any external resources, reports or data sets that contributed to your analysis.

Feedback & Q&A session

Open the floor for questions and feedback from your audience. This allows for further discussion and can provide additional insights that may not have been considered previously.

Closing remarks

Conclude the presentation by summarizing the key points and emphasizing the takeaways. Thank your audience for their time and participation and express your willingness to engage in further discussions or collaborations on the subject.

how to make a introduction in case study

Well, the length of a case study presentation can vary depending on the complexity of the topic and the needs of your audience. However, a typical business or academic presentation often lasts between 15 to 30 minutes. 

This time frame usually allows for a thorough explanation of the case while maintaining audience engagement. However, always consider leaving a few minutes at the end for a Q&A session to address any questions or clarify points made during the presentation.

When it comes to presenting a compelling case study, having a well-structured template can be a game-changer. 

It helps you organize your thoughts, data and findings in a coherent and visually pleasing manner. 

Not all case studies are created equal and different scenarios require distinct approaches for maximum impact. 

To save you time and effort, I have curated a list of 5 versatile case study presentation templates, each designed for specific needs and audiences. 

Here are some best case study presentation examples that showcase effective strategies for engaging your audience and conveying complex information clearly.

1 . Lab report case study template

Ever feel like your research gets lost in a world of endless numbers and jargon? Lab case studies are your way out!

Think of it as building a bridge between your cool experiment and everyone else. It’s more than just reporting results – it’s explaining the “why” and “how” in a way that grabs attention and makes sense.

This lap report template acts as a blueprint for your report, guiding you through each essential section (introduction, methods, results, etc.) in a logical order.

College Lab Report Template - Introduction

Want to present your research like a pro? Browse our research presentation template gallery for creative inspiration!

2. Product case study template

It’s time you ditch those boring slideshows and bullet points because I’ve got a better way to win over clients: product case study templates.

Instead of just listing features and benefits, you get to create a clear and concise story that shows potential clients exactly what your product can do for them. It’s like painting a picture they can easily visualize, helping them understand the value your product brings to the table.

Grab the template below, fill in the details, and watch as your product’s impact comes to life!

how to make a introduction in case study

3. Content marketing case study template

In digital marketing, showcasing your accomplishments is as vital as achieving them. 

A well-crafted case study not only acts as a testament to your successes but can also serve as an instructional tool for others. 

With this coral content marketing case study template—a perfect blend of vibrant design and structured documentation, you can narrate your marketing triumphs effectively.

how to make a introduction in case study

4. Case study psychology template

Understanding how people tick is one of psychology’s biggest quests and case studies are like magnifying glasses for the mind. They offer in-depth looks at real-life behaviors, emotions and thought processes, revealing fascinating insights into what makes us human.

Writing a top-notch case study, though, can be a challenge. It requires careful organization, clear presentation and meticulous attention to detail. That’s where a good case study psychology template comes in handy.

Think of it as a helpful guide, taking care of formatting and structure while you focus on the juicy content. No more wrestling with layouts or margins – just pour your research magic into crafting a compelling narrative.

how to make a introduction in case study

5. Lead generation case study template

Lead generation can be a real head-scratcher. But here’s a little help: a lead generation case study.

Think of it like a friendly handshake and a confident resume all rolled into one. It’s your chance to showcase your expertise, share real-world successes and offer valuable insights. Potential clients get to see your track record, understand your approach and decide if you’re the right fit.

No need to start from scratch, though. This lead generation case study template guides you step-by-step through crafting a clear, compelling narrative that highlights your wins and offers actionable tips for others. Fill in the gaps with your specific data and strategies, and voilà! You’ve got a powerful tool to attract new customers.

Modern Lead Generation Business Case Study Presentation Template

Related: 15+ Professional Case Study Examples [Design Tips + Templates]

So, you’ve spent hours crafting the perfect case study and are now tasked with presenting it. Crafting the case study is only half the battle; delivering it effectively is equally important. 

Whether you’re facing a room of executives, academics or potential clients, how you present your findings can make a significant difference in how your work is received. 

Forget boring reports and snooze-inducing presentations! Let’s make your case study sing. Here are some key pointers to turn information into an engaging and persuasive performance:

  • Know your audience : Tailor your presentation to the knowledge level and interests of your audience. Remember to use language and examples that resonate with them.
  • Rehearse : Rehearsing your case study presentation is the key to a smooth delivery and for ensuring that you stay within the allotted time. Practice helps you fine-tune your pacing, hone your speaking skills with good word pronunciations and become comfortable with the material, leading to a more confident, conversational and effective presentation.
  • Start strong : Open with a compelling introduction that grabs your audience’s attention. You might want to use an interesting statistic, a provocative question or a brief story that sets the stage for your case study.
  • Be clear and concise : Avoid jargon and overly complex sentences. Get to the point quickly and stay focused on your objectives.
  • Use visual aids : Incorporate slides with graphics, charts or videos to supplement your verbal presentation. Make sure they are easy to read and understand.
  • Tell a story : Use storytelling techniques to make the case study more engaging. A well-told narrative can help you make complex data more relatable and easier to digest.

how to make a introduction in case study

Ditching the dry reports and slide decks? Venngage’s case study templates let you wow customers with your solutions and gain insights to improve your business plan. Pre-built templates, visual magic and customer captivation – all just a click away. Go tell your story and watch them say “wow!”

Nailed your case study, but want to make your presentation even stronger? Avoid these common mistakes to ensure your audience gets the most out of it:

Overloading with information

A case study is not an encyclopedia. Overloading your presentation with excessive data, text or jargon can make it cumbersome and difficult for the audience to digest the key points. Stick to what’s essential and impactful. Need help making your data clear and impactful? Our data presentation templates can help! Find clear and engaging visuals to showcase your findings.

Lack of structure

Jumping haphazardly between points or topics can confuse your audience. A well-structured presentation, with a logical flow from introduction to conclusion, is crucial for effective communication.

Ignoring the audience

Different audiences have different needs and levels of understanding. Failing to adapt your presentation to your audience can result in a disconnect and a less impactful presentation.

Poor visual elements

While content is king, poor design or lack of visual elements can make your case study dull or hard to follow. Make sure you use high-quality images, graphs and other visual aids to support your narrative.

Not focusing on results

A case study aims to showcase a problem and its solution, but what most people care about are the results. Failing to highlight or adequately explain the outcomes can make your presentation fall flat.

How to start a case study presentation?

Starting a case study presentation effectively involves a few key steps:

  • Grab attention : Open with a hook—an intriguing statistic, a provocative question or a compelling visual—to engage your audience from the get-go.
  • Set the stage : Briefly introduce the subject, context and relevance of the case study to give your audience an idea of what to expect.
  • Outline objectives : Clearly state what the case study aims to achieve. Are you solving a problem, proving a point or showcasing a success?
  • Agenda : Give a quick outline of the key sections or topics you’ll cover to help the audience follow along.
  • Set expectations : Let your audience know what you want them to take away from the presentation, whether it’s knowledge, inspiration or a call to action.

How to present a case study on PowerPoint and on Google Slides?

Presenting a case study on PowerPoint and Google Slides involves a structured approach for clarity and impact using presentation slides :

  • Title slide : Start with a title slide that includes the name of the case study, your name and any relevant institutional affiliations.
  • Introduction : Follow with a slide that outlines the problem or situation your case study addresses. Include a hook to engage the audience.
  • Objectives : Clearly state the goals of the case study in a dedicated slide.
  • Findings : Use charts, graphs and bullet points to present your findings succinctly.
  • Analysis : Discuss what the findings mean, drawing on supporting data or secondary research as necessary.
  • Conclusion : Summarize key takeaways and results.
  • Q&A : End with a slide inviting questions from the audience.

What’s the role of analysis in a case study presentation?

The role of analysis in a case study presentation is to interpret the data and findings, providing context and meaning to them. 

It helps your audience understand the implications of the case study, connects the dots between the problem and the solution and may offer recommendations for future action.

Is it important to include real data and results in the presentation?

Yes, including real data and results in a case study presentation is crucial to show experience,  credibility and impact. Authentic data lends weight to your findings and conclusions, enabling the audience to trust your analysis and take your recommendations more seriously

How do I conclude a case study presentation effectively?

To conclude a case study presentation effectively, summarize the key findings, insights and recommendations in a clear and concise manner. 

End with a strong call-to-action or a thought-provoking question to leave a lasting impression on your audience.

What’s the best way to showcase data in a case study presentation ?

The best way to showcase data in a case study presentation is through visual aids like charts, graphs and infographics which make complex information easily digestible, engaging and creative. 

Don’t just report results, visualize them! This template for example lets you transform your social media case study into a captivating infographic that sparks conversation.

how to make a introduction in case study

Choose the type of visual that best represents the data you’re showing; for example, use bar charts for comparisons or pie charts for parts of a whole. 

Ensure that the visuals are high-quality and clearly labeled, so the audience can quickly grasp the key points. 

Keep the design consistent and simple, avoiding clutter or overly complex visuals that could distract from the message.

Choose a template that perfectly suits your case study where you can utilize different visual aids for maximum impact. 

Need more inspiration on how to turn numbers into impact with the help of infographics? Our ready-to-use infographic templates take the guesswork out of creating visual impact for your case studies with just a few clicks.

Related: 10+ Case Study Infographic Templates That Convert

Congrats on mastering the art of compelling case study presentations! This guide has equipped you with all the essentials, from structure and nuances to avoiding common pitfalls. You’re ready to impress any audience, whether in the boardroom, the classroom or beyond.

And remember, you’re not alone in this journey. Venngage’s Case Study Creator is your trusty companion, ready to elevate your presentations from ordinary to extraordinary. So, let your confidence shine, leverage your newly acquired skills and prepare to deliver presentations that truly resonate.

Go forth and make a lasting impact!

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What Is a Case Study?

Weighing the pros and cons of this method of research

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

how to make a introduction in case study

Cara Lustik is a fact-checker and copywriter.

how to make a introduction in case study

Verywell / Colleen Tighe

  • Pros and Cons

What Types of Case Studies Are Out There?

Where do you find data for a case study, how do i write a psychology case study.

A case study is an in-depth study of one person, group, or event. In a case study, nearly every aspect of the subject's life and history is analyzed to seek patterns and causes of behavior. Case studies can be used in many different fields, including psychology, medicine, education, anthropology, political science, and social work.

The point of a case study is to learn as much as possible about an individual or group so that the information can be generalized to many others. Unfortunately, case studies tend to be highly subjective, and it is sometimes difficult to generalize results to a larger population.

While case studies focus on a single individual or group, they follow a format similar to other types of psychology writing. If you are writing a case study, we got you—here are some rules of APA format to reference.  

At a Glance

A case study, or an in-depth study of a person, group, or event, can be a useful research tool when used wisely. In many cases, case studies are best used in situations where it would be difficult or impossible for you to conduct an experiment. They are helpful for looking at unique situations and allow researchers to gather a lot of˜ information about a specific individual or group of people. However, it's important to be cautious of any bias we draw from them as they are highly subjective.

What Are the Benefits and Limitations of Case Studies?

A case study can have its strengths and weaknesses. Researchers must consider these pros and cons before deciding if this type of study is appropriate for their needs.

One of the greatest advantages of a case study is that it allows researchers to investigate things that are often difficult or impossible to replicate in a lab. Some other benefits of a case study:

  • Allows researchers to capture information on the 'how,' 'what,' and 'why,' of something that's implemented
  • Gives researchers the chance to collect information on why one strategy might be chosen over another
  • Permits researchers to develop hypotheses that can be explored in experimental research

On the other hand, a case study can have some drawbacks:

  • It cannot necessarily be generalized to the larger population
  • Cannot demonstrate cause and effect
  • It may not be scientifically rigorous
  • It can lead to bias

Researchers may choose to perform a case study if they want to explore a unique or recently discovered phenomenon. Through their insights, researchers develop additional ideas and study questions that might be explored in future studies.

It's important to remember that the insights from case studies cannot be used to determine cause-and-effect relationships between variables. However, case studies may be used to develop hypotheses that can then be addressed in experimental research.

Case Study Examples

There have been a number of notable case studies in the history of psychology. Much of  Freud's work and theories were developed through individual case studies. Some great examples of case studies in psychology include:

  • Anna O : Anna O. was a pseudonym of a woman named Bertha Pappenheim, a patient of a physician named Josef Breuer. While she was never a patient of Freud's, Freud and Breuer discussed her case extensively. The woman was experiencing symptoms of a condition that was then known as hysteria and found that talking about her problems helped relieve her symptoms. Her case played an important part in the development of talk therapy as an approach to mental health treatment.
  • Phineas Gage : Phineas Gage was a railroad employee who experienced a terrible accident in which an explosion sent a metal rod through his skull, damaging important portions of his brain. Gage recovered from his accident but was left with serious changes in both personality and behavior.
  • Genie : Genie was a young girl subjected to horrific abuse and isolation. The case study of Genie allowed researchers to study whether language learning was possible, even after missing critical periods for language development. Her case also served as an example of how scientific research may interfere with treatment and lead to further abuse of vulnerable individuals.

Such cases demonstrate how case research can be used to study things that researchers could not replicate in experimental settings. In Genie's case, her horrific abuse denied her the opportunity to learn a language at critical points in her development.

This is clearly not something researchers could ethically replicate, but conducting a case study on Genie allowed researchers to study phenomena that are otherwise impossible to reproduce.

There are a few different types of case studies that psychologists and other researchers might use:

  • Collective case studies : These involve studying a group of individuals. Researchers might study a group of people in a certain setting or look at an entire community. For example, psychologists might explore how access to resources in a community has affected the collective mental well-being of those who live there.
  • Descriptive case studies : These involve starting with a descriptive theory. The subjects are then observed, and the information gathered is compared to the pre-existing theory.
  • Explanatory case studies : These   are often used to do causal investigations. In other words, researchers are interested in looking at factors that may have caused certain things to occur.
  • Exploratory case studies : These are sometimes used as a prelude to further, more in-depth research. This allows researchers to gather more information before developing their research questions and hypotheses .
  • Instrumental case studies : These occur when the individual or group allows researchers to understand more than what is initially obvious to observers.
  • Intrinsic case studies : This type of case study is when the researcher has a personal interest in the case. Jean Piaget's observations of his own children are good examples of how an intrinsic case study can contribute to the development of a psychological theory.

The three main case study types often used are intrinsic, instrumental, and collective. Intrinsic case studies are useful for learning about unique cases. Instrumental case studies help look at an individual to learn more about a broader issue. A collective case study can be useful for looking at several cases simultaneously.

The type of case study that psychology researchers use depends on the unique characteristics of the situation and the case itself.

There are a number of different sources and methods that researchers can use to gather information about an individual or group. Six major sources that have been identified by researchers are:

  • Archival records : Census records, survey records, and name lists are examples of archival records.
  • Direct observation : This strategy involves observing the subject, often in a natural setting . While an individual observer is sometimes used, it is more common to utilize a group of observers.
  • Documents : Letters, newspaper articles, administrative records, etc., are the types of documents often used as sources.
  • Interviews : Interviews are one of the most important methods for gathering information in case studies. An interview can involve structured survey questions or more open-ended questions.
  • Participant observation : When the researcher serves as a participant in events and observes the actions and outcomes, it is called participant observation.
  • Physical artifacts : Tools, objects, instruments, and other artifacts are often observed during a direct observation of the subject.

If you have been directed to write a case study for a psychology course, be sure to check with your instructor for any specific guidelines you need to follow. If you are writing your case study for a professional publication, check with the publisher for their specific guidelines for submitting a case study.

Here is a general outline of what should be included in a case study.

Section 1: A Case History

This section will have the following structure and content:

Background information : The first section of your paper will present your client's background. Include factors such as age, gender, work, health status, family mental health history, family and social relationships, drug and alcohol history, life difficulties, goals, and coping skills and weaknesses.

Description of the presenting problem : In the next section of your case study, you will describe the problem or symptoms that the client presented with.

Describe any physical, emotional, or sensory symptoms reported by the client. Thoughts, feelings, and perceptions related to the symptoms should also be noted. Any screening or diagnostic assessments that are used should also be described in detail and all scores reported.

Your diagnosis : Provide your diagnosis and give the appropriate Diagnostic and Statistical Manual code. Explain how you reached your diagnosis, how the client's symptoms fit the diagnostic criteria for the disorder(s), or any possible difficulties in reaching a diagnosis.

Section 2: Treatment Plan

This portion of the paper will address the chosen treatment for the condition. This might also include the theoretical basis for the chosen treatment or any other evidence that might exist to support why this approach was chosen.

  • Cognitive behavioral approach : Explain how a cognitive behavioral therapist would approach treatment. Offer background information on cognitive behavioral therapy and describe the treatment sessions, client response, and outcome of this type of treatment. Make note of any difficulties or successes encountered by your client during treatment.
  • Humanistic approach : Describe a humanistic approach that could be used to treat your client, such as client-centered therapy . Provide information on the type of treatment you chose, the client's reaction to the treatment, and the end result of this approach. Explain why the treatment was successful or unsuccessful.
  • Psychoanalytic approach : Describe how a psychoanalytic therapist would view the client's problem. Provide some background on the psychoanalytic approach and cite relevant references. Explain how psychoanalytic therapy would be used to treat the client, how the client would respond to therapy, and the effectiveness of this treatment approach.
  • Pharmacological approach : If treatment primarily involves the use of medications, explain which medications were used and why. Provide background on the effectiveness of these medications and how monotherapy may compare with an approach that combines medications with therapy or other treatments.

This section of a case study should also include information about the treatment goals, process, and outcomes.

When you are writing a case study, you should also include a section where you discuss the case study itself, including the strengths and limitiations of the study. You should note how the findings of your case study might support previous research. 

In your discussion section, you should also describe some of the implications of your case study. What ideas or findings might require further exploration? How might researchers go about exploring some of these questions in additional studies?

Need More Tips?

Here are a few additional pointers to keep in mind when formatting your case study:

  • Never refer to the subject of your case study as "the client." Instead, use their name or a pseudonym.
  • Read examples of case studies to gain an idea about the style and format.
  • Remember to use APA format when citing references .

Crowe S, Cresswell K, Robertson A, Huby G, Avery A, Sheikh A. The case study approach .  BMC Med Res Methodol . 2011;11:100.

Crowe S, Cresswell K, Robertson A, Huby G, Avery A, Sheikh A. The case study approach . BMC Med Res Methodol . 2011 Jun 27;11:100. doi:10.1186/1471-2288-11-100

Gagnon, Yves-Chantal.  The Case Study as Research Method: A Practical Handbook . Canada, Chicago Review Press Incorporated DBA Independent Pub Group, 2010.

Yin, Robert K. Case Study Research and Applications: Design and Methods . United States, SAGE Publications, 2017.

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

Writing A Case Study

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A Complete Case Study Writing Guide With Examples

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Simple Case Study Format for Students to Follow

Understand the Types of Case Study Here

Brilliant Case Study Examples and Templates For Your Help

Many writers find themselves grappling with the challenge of crafting persuasive and engaging case studies. 

The process can be overwhelming, leaving them unsure where to begin or how to structure their study effectively. And, without a clear plan, it's tough to show the value and impact in a convincing way.

But don’t worry!

In this blog, we'll guide you through a systematic process, offering step-by-step instructions on crafting a compelling case study. 

Along the way, we'll share valuable tips and illustrative examples to enhance your understanding. So, let’s get started.

Arrow Down

  • 1. What is a Case Study? 
  • 2. Types of Case Studies
  • 3. How To Write a Case Study - 9 Steps
  • 4. Case Study Methods
  • 5. Case Study Format
  • 6. Case Study Examples
  • 7. Benefits and Limitations of Case Studies

What is a Case Study? 

A case study is a detailed analysis and examination of a particular subject, situation, or phenomenon. It involves comprehensive research to gain a deep understanding of the context and variables involved. 

Typically used in academic, business, and marketing settings, case studies aim to explore real-life scenarios, providing insights into challenges, solutions, and outcomes. They serve as valuable tools for learning, decision-making, and showcasing success stories.

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Types of Case Studies

Case studies come in various forms, each tailored to address specific objectives and areas of interest. Here are some of the main types of case studies :

  • Illustrative Case Studies: These focus on describing a particular situation or event, providing a detailed account to enhance understanding.
  • Exploratory Case Studies: Aimed at investigating an issue and generating initial insights, these studies are particularly useful when exploring new or complex topics.
  • Explanatory Case Studies: These delve into the cause-and-effect relationships within a given scenario, aiming to explain why certain outcomes occurred.
  • Intrinsic Case Studies: Concentrating on a specific case that holds intrinsic value, these studies explore the unique qualities of the subject itself.
  • Instrumental Case Studies: These are conducted to understand a broader issue and use the specific case as a means to gain insights into the larger context.
  • Collective Case Studies: Involving the study of multiple cases, this type allows for comparisons and contrasts, offering a more comprehensive view of a phenomenon or problem.

How To Write a Case Study - 9 Steps

Crafting an effective case study involves a structured approach to ensure clarity, engagement, and relevance. 

Here's a step-by-step guide on how to write a compelling case study:

Step 1: Define Your Objective

Before diving into the writing process, clearly define the purpose of your case study. Identify the key questions you want to answer and the specific goals you aim to achieve. 

Whether it's to showcase a successful project, analyze a problem, or demonstrate the effectiveness of a solution, a well-defined objective sets the foundation for a focused and impactful case study.

Step 2: Conduct Thorough Research

Gather all relevant information and data related to your chosen case. This may include interviews, surveys, documentation, and statistical data. 

Ensure that your research is comprehensive, covering all aspects of the case to provide a well-rounded and accurate portrayal. 

The more thorough your research, the stronger your case study's foundation will be.

Step 3: Introduction: Set the Stage

Begin your case study with a compelling introduction that grabs the reader's attention. Clearly state the subject and the primary issue or challenge faced. 

Engage your audience by setting the stage for the narrative, creating intrigue, and highlighting the significance of the case.

Step 4: Present the Background Information

Provide context by presenting the background information of the case. Explore relevant history, industry trends, and any other factors that contribute to a deeper understanding of the situation. 

This section sets the stage for readers, allowing them to comprehend the broader context before delving into the specifics of the case.

Step 5: Outline the Challenges Faced

Identify and articulate the challenges or problems encountered in the case. Clearly define the obstacles that needed to be overcome, emphasizing their significance. 

This section sets the stakes for your audience and prepares them for the subsequent exploration of solutions.

Step 6: Detail the Solutions Implemented

Describe the strategies, actions, or solutions applied to address the challenges outlined. Be specific about the decision-making process, the rationale behind the chosen solutions, and any alternatives considered. 

This part of the case study demonstrates problem-solving skills and showcases the effectiveness of the implemented measures.

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Step 7: Showcase Measurable Results

Present tangible outcomes and results achieved as a direct consequence of the implemented solutions. Use data, metrics, and success stories to quantify the impact. 

Whether it's increased revenue, improved efficiency, or positive customer feedback, measurable results add credibility and validation to your case study.

Step 8: Include Engaging Visuals

Enhance the readability and visual appeal of your case study by incorporating relevant visuals such as charts, graphs, images, and infographics. 

Visual elements not only break up the text but also provide a clearer representation of data and key points, making your case study more engaging and accessible.

Step 9: Provide a Compelling Conclusion

Wrap up your case study with a strong and conclusive summary. Revisit the initial objectives, recap key findings, and emphasize the overall success or significance of the case. 

This section should leave a lasting impression on your readers, reinforcing the value of the presented information.

Case Study Methods

The methods employed in case study writing are diverse and flexible, catering to the unique characteristics of each case. Here are common methods used in case study writing:

Conducting one-on-one or group interviews with individuals involved in the case to gather firsthand information, perspectives, and insights.

  • Observation

Directly observing the subject or situation to collect data on behaviors, interactions, and contextual details.

  • Document Analysis

Examining existing documents, records, reports, and other written materials relevant to the case to gather information and insights.

  • Surveys and Questionnaires

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  • Open access
  • Published: 18 April 2024

The predictive power of data: machine learning analysis for Covid-19 mortality based on personal, clinical, preclinical, and laboratory variables in a case–control study

  • Maryam Seyedtabib   ORCID: orcid.org/0000-0003-1599-9374 1 ,
  • Roya Najafi-Vosough   ORCID: orcid.org/0000-0003-2871-5748 2 &
  • Naser Kamyari   ORCID: orcid.org/0000-0001-6245-5447 3  

BMC Infectious Diseases volume  24 , Article number:  411 ( 2024 ) Cite this article

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Background and purpose

The COVID-19 pandemic has presented unprecedented public health challenges worldwide. Understanding the factors contributing to COVID-19 mortality is critical for effective management and intervention strategies. This study aims to unlock the predictive power of data collected from personal, clinical, preclinical, and laboratory variables through machine learning (ML) analyses.

A retrospective study was conducted in 2022 in a large hospital in Abadan, Iran. Data were collected and categorized into demographic, clinical, comorbid, treatment, initial vital signs, symptoms, and laboratory test groups. The collected data were subjected to ML analysis to identify predictive factors associated with COVID-19 mortality. Five algorithms were used to analyze the data set and derive the latent predictive power of the variables by the shapely additive explanation values.

Results highlight key factors associated with COVID-19 mortality, including age, comorbidities (hypertension, diabetes), specific treatments (antibiotics, remdesivir, favipiravir, vitamin zinc), and clinical indicators (heart rate, respiratory rate, temperature). Notably, specific symptoms (productive cough, dyspnea, delirium) and laboratory values (D-dimer, ESR) also play a critical role in predicting outcomes. This study highlights the importance of feature selection and the impact of data quantity and quality on model performance.

This study highlights the potential of ML analysis to improve the accuracy of COVID-19 mortality prediction and emphasizes the need for a comprehensive approach that considers multiple feature categories. It highlights the critical role of data quality and quantity in improving model performance and contributes to our understanding of the multifaceted factors that influence COVID-19 outcomes.

Peer Review reports

Introduction

The World Health Organization (WHO) has declared COVID-19 a global pandemic in March 2020 [ 1 ]. The first cases of SARSCoV-2, a new severe acute respiratory syndrome coronavirus, were detected in Wuhan, China, and rapidly spread to become a global public health problem [ 2 ]. The clinical presentation and symptoms of COVID-19 may be similar to those of Middle East Respiratory Syndrome (MERS) and Severe Acute Respiratory Syndrome (SARS), however the rate of spread is higher [ 3 ]. By December 31, 2022, the pandemic had caused more than 729 million cases and nearly 6.7 million deaths (0.92%) were confirmed in 219 countries worldwide [ 4 ]. For many countries, figuring out what measures to take to prevent death or serious illness is a major challenge. Due to the complexity of transmission and the lack of proven treatments, COVID-19 is a major challenge worldwide [ 5 , 6 ]. In middle- and low-income countries, the situation is even more catastrophic due to high illiteracy rates, a very poor health care system, and lack of intensive care units [ 5 ]. In addition, understanding the factors contributing to COVID-19 mortality is critical for effective management and intervention strategies [ 6 ].

Numerous studies have shown several factors associated with COVID-19 outcomes, including socioeconomic, environmental, individual demographic, and health factors [ 7 , 8 , 9 ]. Risk factors for COVID -19 mortality vary by study and population studied [ 10 ]. Age [ 11 , 12 ], comorbidities such as hypertension, cardiovascular disease, diabetes, and COPD [ 13 , 14 , 15 ], sex [ 13 ], race/ethnicity [ 11 ], dementia, and neurologic disease [ 16 , 17 ], are some of the factors associated with COVID-19 mortality. Laboratory factors such as elevated levels of inflammatory markers, lymphopenia, elevated creatinine levels, and ALT are also associated with COVID-19 mortality [ 5 , 18 ]. Understanding these multiple risk factors is critical to accurately diagnose and treat COVID-19 patients.

Accurate diagnosis and treatment of the disease requires a comprehensive assessment that considers a variety of factors. These factors include personal factors such as medical history, lifestyle, and genetics; clinical factors such as observations on physical examinations and physician reports; preclinical factors such as early detection through screening or surveillance; laboratory factors such as results of diagnostic tests and medical imaging; and patient-reported signs and symptoms. However, the variety of characteristics associated with COVID-19 makes it difficult for physicians to accurately classify COVID-19 patients during the pandemic.

In today's digital transformation era, machine learning plays a vital role in various industries, including healthcare, where substantial data is generated daily [ 19 , 20 , 21 ]. Numerous studies have explored machine learning (ML) and explainable artificial intelligence (AI) in predicting COVID-19 prognosis and diagnosis [ 22 , 23 , 24 , 25 ]. Chadaga et al. have developed decision support systems and triage prediction systems using clinical markers and biomarkers [ 22 , 23 ]. Similarly, Khanna et al. have developed a ML and explainable AI system for COVID-19 triage prediction [ 24 ]. Zoabi has also made contributions in this field, developing ML models that predict COVID-19 test results with high accuracy based on a small number of features such as gender, age, contact with an infected person and initial clinical symptoms [ 25 ]. These studies emphasize the potential of ML and explainable AI to improve COVID-19 prediction and diagnosis. Nonetheless, the efficacy of ML algorithms heavily relies on the quality and quantity of data utilized for training. Recent research has indicated that deep learning algorithms' performance can be significantly enhanced compared to traditional ML methods by increasing the volume of data used [ 26 ]. However, it is crucial to acknowledge that the impact of data volume on model performance can vary based on data characteristics and experimental setup, highlighting the need for careful consideration and analysis when selecting data for model training. While the studies emphasize the importance of features in training ML algorithms for COVID-19 prediction and diagnosis, additional research is required on methods to enhance the interpretability of features.

Therefore, the primary aim of this study is to identify the key factors associated with mortality in COVID -19 patients admitted to hospitals in Abadan, Iran. For this purpose, seven categories of factors were selected, including demographic, clinical and conditions, comorbidities, treatments, initial vital signs, symptoms, and laboratory tests, and machine learning algorithms were employed. The predictive power of the data was assessed using 139 predictor variables across seven feature sets. Our next goal is to improve the interpretability of the extracted important features. To achieve this goal, we will utilize the innovative SHAP analysis, which illustrates the impact of features through a diagram.

Materials and methods

Study population and data collection.

Using data from the COVID-19 hospital-based registry database, a retrospective study was conducted from April 2020 to December 2022 at Ayatollah Talleghani Hospital (a COVID‑19 referral center) in Abadan City, Iran.

A total of 14,938 patients were initially screened for eligibility for the study. Of these, 9509 patients were excluded because their transcriptase polymerase chain reaction (RT-PCR) test results were negative or unspecified. The exclusion of patients due to incomplete or missing data is a common issue in medical research, particularly in the use of electronic medical records (EMRs) [ 27 ]. In addition, 1623 patients were excluded because their medical records contained more than 70% incomplete or missing data. In addition, patients younger than 18 years were not included in the study. The criterion for excluding 1623 patients due to "70% incomplete or missing data" means that the medical records of these patients did not contain at least 30% of the data required for a meaningful analysis. This threshold was set to ensure that the dataset used for the study contained a sufficient amount of complete and reliable information to draw accurate conclusions. Incomplete or missing data in a medical record may relate to key variables such as patient demographics, symptoms, lab results, treatment information, outcomes, or other data points important to the research. Insufficient data can affect the validity and reliability of study results and lead to potential bias or inaccuracies in the findings. It is important to exclude such incomplete records to maintain the quality and integrity of the research findings and to ensure that the conclusions drawn are based on robust and reliable data. After these exclusions, 3806 patients remained. Of these patients, 474 died due to COVID -19, while the remaining 3332 patients recovered and were included in the control group. To obtain a balanced sample, the control group was selected with a propensity score matching (PSM). The PSM refers to a statistical technique used to create a balanced comparison group by matching individuals in the control group (in this case, the survived group) with individuals in the case group (in this case, the deceased group) based on their propensity scores. In this study, the propensity scores for each person represented the probability of death (coded as a binary outcome; survived = 0, deceased = 1) calculated from a set of covariates (demographic factors) using the matchit function from the MatchIt library. Two individuals, one from the deceased group and one from the survived group, are considered matched if the difference between their propensity scores is small. Non-matching participants are discarded. The matching aims to reduce bias by making the distribution of observed characteristics similar between groups, which ultimately improves the comparability of groups in observational studies [ 28 ]. In total, the study included 1063 COVID-19 patients who belonged to either the deceased group (case = 474) or the survived group (control = 589) (Fig.  1 ).

figure 1

Flowchart describing the process of patient selection

In the COVID‑19 hospital‑based registry database, one hundred forty primary features in eight main classes including patient’s demographics (eight features), clinical and conditions features (16 features), comorbidities (18 features), treatment (17 features), initial vital sign (14 features), symptoms during hospitalization (31 features), laboratory results (35 features), and an output (0 for survived and 1 for deceased) was recorded for COVID-19 patients. The main features included in the hospital-based COVID-19 registry database are provided in Appendix Table  1 .

To ensure the accuracy of the recorded information, discharged patients or their relatives were called and asked to review some of the recorded information (demographic information, symptoms, and medical history). Clinical symptoms and vital signs were referenced to the first day of hospitalization (at admission). Laboratory test results were also referenced to the patient’s first blood sample at the time of hospitalization.

The study analyzed 140 variables in patients' records, normalizing continuous variables and creating a binary feature to categorize patients based on outcomes. To address the issue of an imbalanced dataset, the Synthetic Minority Over-sampling Technique (SMOTE) was utilized. Some classes were combined to simplify variables. For missing data, an imputation technique was applied, assuming a random distribution [ 29 ]. Little's MCAR test was performed with the naniar package to assess whether missing data in a dataset is missing completely at random (MCAR) [ 30 ]. The null hypothesis in this test is that the data are MCAR, and the test statistic is a chi-square value.

The Ethics Committee of Abadan University of Medical Science approved the research protocol (No. IR.ABADANUMS.REC.1401.095).

Predictor variables

All data were collected in eight categories, including demographic, clinical and conditions, comorbidities, treatment, initial vital signs, symptoms, and laboratory tests in medical records, for a total of 140 variables.

The "Demographics" category encompasses eight features, three of which are binary variables and five of which are categorical. The "Clinical Conditions" category includes 16 features, comprising one quantitative variable, 12 binary variables, and five categorical features. " Comorbidities ", " Treatment ", and " Symptoms " each have 18, 17, and 30 binary features, respectively. Also, there is one quantitative variable in symptoms category. The "Initial Vital Signs" category features 11 quantitative variables, two binary variables, and one categorical variable. Finally, the "Laboratory Tests" category comprises 35 features, with 33 being quantitative, one categorical, and one binary (Appendix Table  1 ).

Outcome variable

The primary outcome variable was mortality, with December 31, 2022, as the last date of follow‐up. The feature shows the class variable, which is binary. For any patient in the survivor group, the outcome is 0; otherwise, it is 1. In this study, 44.59% ( n  = 474) of the samples were in the deceased group and were labeled 1.

Data balancing

In case–control studies, it is common to have unequal size groups since cases are typically fewer than controls [ 31 ]. However, in case–control studies with equal sizes, data balancing may not be necessary for ML algorithms [ 32 ]. When using ML algorithms, data balancing is generally important when there is an imbalance between classes, i.e., when one class has significantly fewer observations than the other [ 33 ]. In such cases, balancing can improve the performance of the algorithm by reducing the bias in favor of the majority class [ 34 ]. For case–control studies of the same size, the balance of the classes has already been reached and balancing may not be necessary. However, it is always recommended to evaluate the performance of the ML algorithm with the given data set to determine the need for data balancing. This is because unbalanced case–control ratios can cause inflated type I error rates and deflated type I error rates in balanced studies [ 35 ].

Feature selection

Feature selection is about selecting important variables from a large dataset to be used in a ML model to achieve better performance and efficiency. Another goal of feature selection is to reduce computational effort by eliminating irrelevant or redundant features [ 36 , 37 ]. Before generating predictions, it is important to perform feature selection to improve the accuracy of clinical decisions and reduce errors [ 37 ]. To identify the best predictors, researchers often compare the effectiveness of different feature selection methods. In this study, we used five common methods, including Decision Tree (DT), eXtreme Gradient Boosting (XGBoost), Support Vector Machine (SVM), Naïve Bayes (NB), and Random Forest (RF), to select relevant features for predicting mortality of COVID -19 patients. To avoid overfitting, we performed ten-fold cross-validation when training our dataset. This approach may help ensure that our model is optimized for accurate predictions of health status in COVID -19 patients.

Model development, evaluation, and clarity

In this study, the predictive models were developed with five ML algorithms, including DT, XGBoost, SVM, NB, and RF, using the R programming language (v4.3.1) and its packages [ 38 ]. We used cross-validation (CV) to tune the hyperparameters of our models based on the training subset of the dataset. For training and evaluating our ML models, we used a common technique called tenfold cross validation [ 39 ]. The primary training dataset was divided into ten folding, each containing 10% of the total data, using a technique called stratified random sampling. For each of the 30% of the data, a ML model was built and trained on the remaining 70% of the data. The performance of the model was then evaluated on the 30%-fold sample. This process was repeated 100 times with different training and test combinations, and the average performance was reported.

Performance measures include sensitivity (recall), specificity, accuracy, F1-score, and the area under the receiver operating characteristics curve (AUC ROC). Sensitivity is defined as TP / (TP + FN), whereas specificity is TN / (TN + FP). F1-score is defined as the harmonic mean of Precision and Recall with equal weight, where Precision equals TP + TN / total. Also, AUC refers to the area under the ROC curve. In the evaluation of ML techniques, values were classified as poor if below 50%, ok if between 50 and 80%, good if between 80 and 90%, and very good if greater than 90%. These criteria are commonly used in reporting model evaluations [ 40 , 41 ].

Finally, the shapely additive explanation (SHAP) method was used to provide clarity and understanding of the models. SHAP uses cooperative game theory to determine how each feature contributes to the prediction of ML models. This approach allows the computation of the contribution of each feature to model performance [ 42 , 43 ]. For this purpose, the package shapr was used, which includes a modified iteration of the kernel SHAP approach that takes into account the interdependence of the features when computing the Shapley values [ 44 ].

Patient characteristics

Table 1 shows the baseline characteristics of patients infected with COVID-19, including demographic data such as age and sex and other factors such as occupation, place of residence, marital status, education level, BMI, and season of admission. A total of 1063 adult patients (≥ 18 years) were enrolled in the study, of whom 589 (55.41%) survived and 474 (44.59%) died. Analysis showed that age was significantly different between the two groups, with a mean age of 54.70 ± 15.60 in the survivor group versus 65.53 ± 15.18 in the deceased group ( P  < 0.001). There was also a significant association between age and survival, with a higher proportion of patients aged < 40 years in the survivor group (77.0%) than in the deceased group (23.0%) ( P  < 0.001). No significant differences were found between the two groups in terms of sex, occupation, place of residence, marital status, and time of admission. However, there was a significant association between educational level and survival, with a lower proportion of patients with a college degree in the deceased group (37.2%) than in the survivor group (62.8%) ( P  = 0.017). BMI also differed significantly between the two groups, with the proportion of patients with a BMI > 30 (kg/cm 2 ) being higher in the deceased group (56.5%) than in the survivor group (43.5%) ( P  < 0.001).

Clinical and conditions

Important insights into the various clinical and condition characteristics associated with COVID-19 infection outcomes provides in Table  2 . The results show that patients who survived the infection had a significantly shorter hospitalization time (2.20 ± 1.63 days) compared to those who died (4.05 ± 3.10 days) ( P  < 0.001). Patients who were admitted as elective cases had a higher survival rate (84.6%) compared to those who were admitted as urgent (61.3%) or emergency (47.4%) cases. There were no significant differences with regard to the number of infections or family infection history. However, patients who had a history of travel had a lower decease rate (40.1%).

A significantly higher proportion of deceased patients had cases requiring CPR (54.7% vs. 45.3%). Patients who had underlying medical conditions had a significantly lower survival rate (38.3%), with hyperlipidemia being the most prevalent condition (18.7%). Patients who had a history of alcohol consumption (12.5%), transplantation (30.0%), chemotropic (21.4%) or special drug use (0.0%), and immunosuppressive drug use (30.0%) also had a lower survival rate. Pregnant patients (44.4%) had similar survival outcomes compared to non-pregnant patients (55.6%). Patients who were recent or current smokers (36.4%) also had a significantly lower survival rate.

Comorbidities

Table 3 summarizes the comorbidity characteristics of COVID-19 infected patients. Out of 1063 patients, 54.84% had comorbidities. Chi-Square tests for individual comorbidities showed that most of them had a significant association with COVID-19 outcomes, with P -values less than 0.05. Among the various comorbidities, hypertension (HTN) and diabetes mellitus (DM) were the most prevalent, with 12% and 11.5% of patients having these conditions, respectively. The highest fatality rates were observed among patients with cardiovascular disease (95.5%), chronic kidney disease (62.5%), gastrointestinal (GI) (93.3%), and liver diseases (73.3%). Conversely, patients with neurology comorbidities had the lowest fatality rate (0%). These results highlight the significant role of comorbidities in COVID-19 outcomes and emphasize the need for special attention to be paid to patients with pre-existing health conditions.

The treatment characteristics of the COVID-19 patients and the resulting outcomes are shown in Table  4 . The table shows the frequency of patients who received different types of medications or therapies during their treatment. According to the results, the use of antibiotics (35.1%), remdesivir (29.6%), favipiravir (36.0%), and Vitamin zinc (33.5%) was significantly associated with a lower mortality rate ( P  < 0.001), suggesting that these medications may have a positive impact on patient outcomes. On the other hand, the use of Heparin (66.1%), Insulin (82.6%), Antifungal (89.6%), ACE inhibitors (78.1%), and Angiotensin II Receptor Blockers (ARB) (83.8%) was significantly associated with increased mortality ( P  < 0.001), suggesting that these medications may have a negative effect on the patient's outcome. Also, It seems that taking hydroxychloroquine (51.0%) is associated with a worse outcome at lower significance ( P  = 0.022). The use of Atrovent, Corticosteroids and Non-Steroidal Anti-Inflammatory Drugs (NSAIDs) did not show a significant association with survival or mortality rates. Similarly, the use of Intravenous Immunoglobulin (IVIg), Vitamin C, Vitamin D, and Diuretic did not show a significant association with the patient’s outcome.

Initial vital signs

Table 5 provides initial vital sign characteristics of COVID-19 patients, including heart rate, respiratory rate, temperature, blood pressure, oxygen therapy, and radiography test result. The findings shows that deceased patients had higher HR (83.03 bpm vs. 76.14 bpm, P  < 0.001), lower RR (11.40 bpm vs. 16.25 bpm, P  < 0.001), higher temperature (37.43 °C vs. 36.91 °C, P  < 0.001), higher SBP (128.16 mmHg vs. 123.33 mmHg, P  < 0.001), and higher O 2 requirements (invasive: 75.0% vs. 25.0%, P  < 0.001) compared to the survived patients. Additionally, deceased patients had higher MAP (99.35 mmHg vs. 96.08 mmHg, P  = 0.005), and lower SPO 2 percentage (81.29% vs. 91.95%, P  < 0.001) compared to the survived patients. Furthermore, deceased patients had higher PEEP levels (5.83 cmH2O vs. 0.69 cmH2O, P  < 0.001), higher FiO2 levels (51.43% vs. 8.97%, P  < 0.001), and more frequent bilateral pneumonia (63.0% vs. 37.0%, P  < 0.001) compared to the survived patients. There appears to be no relationship between diastolic blood pressure and treatment outcome (83.44 mmHg vs. 85.61 mmHg).

Table 6 provides information on the symptoms of patients infected with COVID-19 by survival outcome. The table also shows the frequency of symptoms among patients. The most common symptom reported by patients was fever, which occurred in 67.0% of surviving and deceased patients. Dyspnea and nonproductive cough were the second and third most common symptoms, reported by 40.4% and 29.3% of the total sample, respectively. Other common symptoms listed in the Table were malodor (28.7%), dyspepsia (28.4%), and myalgia (25.6%).

The P -values reported in the table show that some symptoms are significantly associated with death, including productive cough, dyspnea, sore throat, headache, delirium, olfactory symptoms, dyspepsia, nausea, vomiting, sepsis, respiratory failure, heart failure, MODS, coagulopathy, secondary infection, stroke, acidosis, and admission to the intensive care unit. Surviving and deceased patients also differed significantly in the average number of days spent in the ICU. There was no significant association between patient outcomes and symptoms such as nonproductive cough, chills, diarrhea, chest pain, and hyperglycemia.

Laboratory tests

Table 7 shows the laboratory values of COVID-19 patients with the average values of the different laboratory results. The results show that the deceased patients had significantly lower levels of red blood cells (3.78 × 106/µL vs. 5.01 × 106/µL), hemoglobin (11.22 g/dL vs. 14.10 g/dL), and hematocrit (34.10% vs. 42.46%), whereas basophils and white blood cells did not differ significantly between the two groups. The percentage of neutrophils (65.59% vs. 62.58%) and monocytes (4.34% vs. 3.93%) was significantly higher in deceased patients, while the percentage of lymphocytes and eosinophils did not differ significantly between the two groups. In addition, deceased patients had higher levels of certain biomarkers, including D-dimer (1.347 mgFEU/L vs. 0.155 mgFEU/L), lactate dehydrogenase (174.61 U/L vs. 128.48 U/L), aspartate aminotransferase (93.09 U/L vs. 39.63 U/L), alanine aminotransferase (74.48 U/L vs. 28.70 U/L), alkaline phosphatase (119.51 IU/L vs. 81.34 IU/L), creatine phosphokinase-MB (4.65 IU/L vs. 3.33 IU/L), and positive troponin I (56.5% vs. 43.5%). The proportion of patients with positive C-reactive protein was also higher in the deceased group.

Other laboratory values with statistically significant differences between the two groups ( P  < 0.001) were INR, ESR, BUN, Cr, Na, K, P, PLT, TSH, T3, and T4. The surviving patients generally had lower values in these laboratory characteristics than the deceased patients.

Model performance and evaluation

Five ML algorithms, namely DT, XGBoost, SVM, NB, and RF, were used in this study to build mortality prediction models COVID -19. The models were based on the optimal feature set selected in a previous step and were trained on the same data set. The effectiveness of the models was evaluated by calculating sensitivity, specificity, accuracy, F1 score, and AUC metrics. Table 8 shows the results of this performance evaluation. The average values are expressed from the test set as the mean (standard deviation).

The results show that the performance of the models varies widely in the different feature categories. The Laboratory Tests category achieved the highest performance, with all models scoring 100% in all metrics. The Symptoms and initial Vital Signs categories also show high performance, with XGBoost achieving the highest accuracy of 98.03% and DT achieving the highest sensitivity of 92.79%.

The Clinical and Conditions category also showed high performance, with all models showing accuracy above 91%. XGBoost achieved the highest sensitivity and specificity of 92.74% and 92.96%, respectively. In contrast, the Demographics category showed the lowest performance, with all models achieving less than 66.5% accuracy.

In summary, the results suggest that certain feature categories may be more useful than others in predicting mortality from COVID-19 and that some ML models may perform better than others depending on the feature category used.

Feature importance

SHapley Additive exPlanations (SHAP) values indicate the importance or contribution of each feature in predicting model output. These values help to understand the influence and importance of each feature on the model's decision-making process.

In Fig.  2 , the mean absolute SHAP values are shown to depict global feature importance. Figure  2 shows the contribution of each feature within its respective group as calculated by the XGBoost prediction model using SHAP. According to the SHAP method, the features that had the greatest impact on predicting COVID-19 mortality were, in descending order: D-dimer, CPR, PEEP, underlying disease, ESR, antifungal treatment, PaO2, age, dyspnea, and nausea.

figure 2

Feature importance based on SHAP-values. The mean absolute SHAP values are depicted, to illustrate global feature importance. The SHAP values change in the spectrum from dark (higher) to light (lower) color

On the other hand, Fig.  3 presents the local explanation summary that indicates the direction of the relationship between a variable and COVID-19 outcome. As shown in Fig.  3 (I to VII), older age and very low BMI were the two demographic factors with the greatest impact on model outcome, followed by clinical factors such as higher CPR, hospitalization, and hyperlipidemia. Higher mortality rates were associated with patients who smoked and had traveled in the past 14 days. Patients with underlying diseases, especially HTN, died more frequently. In contrast, the use of remdesivir, Vit Zn, and favipiravir is associated with lower mortality. Initial vital signs such as high PEEP, low PaO2 and RR had the greatest impact, as did symptoms such as dyspnea, MODS, sore throat and LOC. A higher risk of mortality is observed in patients with higher D-dimer levels and ESR as the most consequential laboratory tests, followed by K, AST and CPK-MB.

figure 3

The SHAP-based feature importance of all categories (I to VII) for COVID‑19 mortality prediction, calculated with the XGBoost model. The local explanatory summary shows the direction of the relationship between a feature and patient outcome. Positive SHAP values indicate death, whereas negative SHAP values indicate survival. As the color scale shows, higher values are blue while lower values are orenge

Using the feature types listed in Appendix Table  1 , Fig.  4 shows that the performance of ML algorithms can be improved by increasing the number of features used in training, especially in distinguishing between symptoms, comorbidities, and treatments. In addition, the amount and quality of data used for training can significantly affect algorithm performance, with laboratory tests being more informative than initial vital signs. Regarding the influence of features, quantitative features tend to have a more positive effect on performance than qualitative features; clinical conditions tend to be more informative than demographic data. Thus, both the amount of data and the type of features used have a significant impact on the performance of ML algorithms.

figure 4

Association between feature sets and performance of machine learning algorithms in predicting COVID-19’s mortality

The COVID-19 pandemic has presented unprecedented public health challenges worldwide and requires a deep understanding of the factors contributing to COVID-19 mortality to enable effective management and intervention. This study used machine learning analysis to uncover the predictive power of an extensive dataset that includes wide range of personal, clinical, preclinical, and laboratory variables associated with COVID-19 mortality.

This study confirms previous research on COVID-19 outcomes that highlighted age as a significant predictor of mortality [ 45 , 46 , 47 ], along with comorbidities such as hypertension and diabetes [ 48 , 49 ]. Underlying conditions such as cardiovascular and renal disease also contribute to mortality risk [ 50 , 51 ].

Regarding treatment, antibiotics, remdesivir, favipiravir, and vitamin zinc are associated with lower mortality [ 52 , 53 ], whereas heparin, insulin, antifungals, ACE, and ARBs are associated with higher mortality [ 54 ]. This underscores the importance of drug choice in COVID -19 treatment.

Initial vital signs such as heart rate, respiratory rate, temperature, and oxygen therapy differ between surviving and deceased patients [ 55 ]. Deceased patients often have increased heart rate, lower respiratory rate, higher temperature, and increased oxygen requirements, which can serve as early indicators of disease severity.

Symptoms such as productive cough, dyspnea, and delirium are significantly associated with COVID-19 mortality, emphasizing the need for immediate monitoring and intervention [ 56 ]. Laboratory tests show altered hematologic and biochemical markers in deceased patients, underscoring the importance of routine laboratory monitoring in COVID-19 patients [ 57 , 58 ].

The ML algorithms were used in the study to predict mortality COVID-19 based on these multilayered variables. XGBoost and Random Forest performed better than other algorithms and had high recall, specificity, accuracy, F1 score, and AUC. This highlights the potential of ML, particularly the XGBoost algorithm, in improving prediction accuracy for COVID-19 mortality [ 59 ]. The study also highlighted the importance of drug choice in treatment and the potential of ML algorithms, particularly XGBoost, in improving prediction accuracy. However, the study's findings differ from those of Moulaei [ 60 ], Nopour [ 61 ], and Mehraeen [ 62 ] in terms of the best-performing ML algorithm and the most influential variables. While Moulaei [ 60 ] found that the random forest algorithm had the best performance, Nopour [ 61 ] and Ikemura [ 63 ] identified the artificial neural network and stacked ensemble models, respectively, as the most effective. Additionally, the most influential variables in predicting mortality varied across the studies, with Moulaei [ 60 ] highlighting dyspnea, ICU admission, and oxygen therapy, and Ikemura [ 63 ] identifying systolic and diastolic blood pressure, age, and other biomarkers. These differences may be attributed to variations in the datasets, feature selection, and model training.

However, it is important to note that the choice of algorithm should be tailored to the specific dataset and research question. In addition, the results suggest that a comprehensive approach that incorporates different feature categories may lead to more accurate prediction of COVID-19 mortality. In general, the results suggest that the performance of ML models is influenced by the number and type of features in each category. While some models consistently perform well across different categories (e.g., XGBoost), others perform better for specific types of features (e.g., SVM for Demographics).

Analysis of the importance of characteristics using SHAP values revealed critical factors affecting model results. D-dimer values, CPR, PEEP, underlying diseases, and ESR emerged as the most important features, highlighting the importance of these variables in predicting COVID-19 mortality. These results provide valuable insights into the underlying mechanisms and risk factors associated with severe COVID-19 outcomes.

The types of features used in ML models fall into two broad categories: quantitative (numerical) and qualitative (binary or categorical). The performance of ML methods can vary depending on the type of features used. Some algorithms work better with quantitative features, while others work better with qualitative features. For example, decision trees and random forests work well with both types of features [ 64 ], while neural networks often work better with quantitative features [ 65 , 66 ]. Accordingly, we consider these levels for the features under study to better assess the impact of the data.

The success of ML algorithms depends largely on the quality and quantity of the data on which they are trained [ 67 , 68 , 69 ]. Recent research, including the 2021 study by Sarker IH. [ 26 ], has shown that a larger amount of data can significantly improve the performance of deep learning algorithms compared to traditional machine learning techniques. However, it should be noted that the effect of data size on model performance depends on several factors, such as data characteristics and experimental design. This underscores the importance of carefully and judiciously selecting data for training.

Limitations

One of the limitations of this study is that it relies on data collected from a single hospital in Abadan, Iran. The data may not be representative of the diversity of COVID -19 cases in different regions, and there may be differences in data quality and completeness. In addition, retrospectively collected data may have biases and inaccuracies. Although the study included a substantial number of COVID -19 patients, the sample size may still limit the generalizability of the results, especially for less common subgroups or certain demographic characteristics.

Future works

Future studies could adopt a multi-center approach to improve the scope and depth of research on COVID-19 outcomes. This could include working with multiple hospitals in different regions of Iran to ensure a more diverse and representative sample. By conducting prospective studies, researchers can collect data in real time, which reduces the biases associated with retrospective data collection and increases the reliability of the results. Increasing sample size, conducting longitudinal studies to track patient progression, and implementing quality assurance measures are critical to improving generalizability, understanding long-term effects, and ensuring data accuracy in future research efforts. Collectively, these strategies aim to address the limitations of individual studies and make an important contribution to a more comprehensive understanding of COVID-19 outcomes in different populations and settings.

Conclusions

In summary, this study demonstrates the potential of ML algorithms in predicting COVID-19 mortality based on a comprehensive set of features. In addition, the interpretability of the models using SHAP-based feature importance, which revealed the variables strongly correlated with mortality. This study highlights the power of data-driven approaches in addressing critical public health challenges such as the COVID-19 pandemic. The results suggest that the performance of ML models is influenced by the number and type of features in each feature set. These findings may be a valuable resource for health professionals to identify high-risk patients COVID-19 and allocate resources effectively.

Availability of data and materials

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

Abbreviations

World Health Organization

Middle east respiratory syndrome

Severe acute respiratory syndrome

Reverse transcription polymerase chain reaction

Propensity score matching

Synthetic minority over-sampling technique

Missing completely at random

Decision tree

EXtreme gradient boosting

Support vector machine

Naïve bayes

Random forest

Cross-validation

True positive

True negative

False positive

False negative

  • Machine learning

Artificial Intelligence

Shapely additive explanation

Cardiopulmonary Resuscitation

Hypertension

Diabetes mellitus

Cardiovascular disease

Chronic Kidney disease

Chronic obstructive pulmonary disease

Human immunodeficiency virus

Hepatitis B virus

Such as influenza, pneumonia, asthma, bronchitis, and chronic obstructive airways disease

Gastrointestinal

Such as epilepsy, learning disabilities, neuromuscular disorders, autism, ADD, brain tumors, and cerebral palsy

Such as fatty liver disease and cirrhosis

Blood disease

Skin diseases

Mental disorders

Intravenous immunoglobulin

Non-steroidal anti-Inflammatory drugs

Angiotensin converting enzyme inhibitors

Angiotensin II receptor blockers

Beats per minute

Respiratory rate

Temperatures

Systolic blood pressure

Diastolic blood pressure

Mean arterial pressure

Oxygen saturation

Partial pressure of oxygen in the alveoli

Positive end-expiratory pressure

Fraction of inspired oxygen

Radiography (X-ray) test result

Smell disorders

Indigestion

Level of consciousness

Multiple organ dysfunction syndrome

Coughing up blood; Coagulopathy: bleeding disorder

High blood glucose

Intensive care unit

Red blood cell

White blood cell

Low-density lipoprotein

High-density lipoprotein

Prothrombin time

Partial thromboplastin time

International normalized ratio

Erythrocyte sedimentation rate

C-reactive-protein

Lactate dehydrogenase

Aspartate aminotransferase

Alanine aminotransferase

Alkaline phosphatase

Creatine phosphokinase-MB

Blood urea nitrogen

Thyroid stimulating hormone

Triiodothyronine

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Acknowledgements

We thank the Research Deputy of the Abadan University of Medical Sciences for financially supporting this project.

Summary points

∙ How can datasets improve mortality prediction using ML models for COVID-19 patients?

∙ In order, quantity and quality variables have more effect on the model performances.

∙ Intelligent techniques such as SHAP analysis can be used to improve the interpretability of features in ML algorithms.

∙ Well-structured data are critical to help health professionals identify at-risk patients and improve pandemic outcomes.

This research was supported by grant No. 1456 from the Abadan University of Medical Sciences. However, the funding source did not influence the study design, data collection, analysis and interpretation, report writing, or decision to publish the article.

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Maryam Seyedtabib

Research Center for Health Sciences, Hamadan University of Medical Sciences, Hamadan, Iran

Roya Najafi-Vosough

Department of Biostatistics and Epidemiology, School of Health, Abadan University of Medical Sciences, Abadan, Iran

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MS: Conceptualization, Methodology, Validation, Formal analysis, Investigation, Resources, Data curation, Writing–original draft, writing—review & editing, Visualization, Project administration. RNV: Conceptualization, Data curation, Formal analysis, Investigation, Writing–original draft, writing—review & editing. NK: Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Resources, Data curation, Writing–original draft, writing—review & editing, Visualization, Supervision.

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This study was approved by the Research Ethics Committee (REC) of Abadan University of Medical Sciences under the ID number IR.ABADANUMS.REC.1401.095. Methods used complied with all relevant ethical guidelines and regulations. The Ethics Committee of Abadan University of Medical Sciences waived the requirement for written informed consent from study participants.

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Seyedtabib, M., Najafi-Vosough, R. & Kamyari, N. The predictive power of data: machine learning analysis for Covid-19 mortality based on personal, clinical, preclinical, and laboratory variables in a case–control study. BMC Infect Dis 24 , 411 (2024). https://doi.org/10.1186/s12879-024-09298-w

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A Binary Risk Linguistic Fuzzy Behavioral TOPSIS Model for Multi-attribute Large-Scale Group Decision-Making Based on Risk Preference Classification and Adaptive Weight Updating

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  • An Huang 1 ,
  • Youlong Yang 1 &
  • Yuanyuan Liu 1  

In practical decision-making, linguistic term set is a useful tool to describe the uncertainty and fuzziness of data sources. However, in some decisions, when the data source is unreliable or the decision involves future factors, the evaluation given by the linguistic term set will have a certain degree of error. This paper proposes a binary risk linguistic set based on linguistic term set and R-set. The binary risk linguistic set considers the linguistic term set and the risk factors that may lead to errors in language evaluation. In order to facilitate the use of binary risk linguistic set, the risk conversion function and operational laws are introduced. Next, since group decision-making involves multiple experts, considering the social relations between experts, a method to estimate the missing values in the social network matrix is proposed by utilizing the trust intensity propagation operator and the relationship intensity propagation operator. Risk perception can reflect the subjective judgment of experts on the characteristics and severity of a particular risk, and different judgment results can reflect the attitude of experts to risk. Hereby, this study proposes a risk clustering method based on the risk perception of experts. Furthermore, we propose an adaptive weight updating method based on social network matrix. Then, a binary risk linguistic fuzzy behavioral TOPSIS method is proposed to deal with the multi-attribute large-scale group decision-making (MALSGDM) problem. Finally, a case study is used to demonstrate the feasibility of the presented method, and its effectiveness is validated through comparison with other MALSGDM methods. To demonstrate the effectiveness of the proposed method, this study also perform sensitivity and stability assessments of the decision-makers’ weight and behavior characteristics.

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Huang, A., Yang, Y. & Liu, Y. A Binary Risk Linguistic Fuzzy Behavioral TOPSIS Model for Multi-attribute Large-Scale Group Decision-Making Based on Risk Preference Classification and Adaptive Weight Updating. Int. J. Fuzzy Syst. (2024). https://doi.org/10.1007/s40815-024-01710-6

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Nanoindentation into a bcc high-entropy HfNbTaTiZr alloy—an atomistic study of the effect of short-range order

  • Iyad Alabd Alhafez 1 ,
  • Orlando R. Deluigi 2 ,
  • Diego Tramontina 2 ,
  • Nina Merkert 1 ,
  • Herbert M. Urbassek 3 &
  • Eduardo M. Bringa 2 , 4  

Scientific Reports volume  14 , Article number:  9112 ( 2024 ) Cite this article

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  • Condensed-matter physics
  • Theory and computation

The plastic response of the Senkov HfNbTaTiZr high-entropy alloy is explored by means of simulated nanoindentation tests. Both a random alloy and an alloy with chemical short-range order are investigated and compared to the well understood case of an elementary Ta crystal. Strong differences in the dislocation plasticity between the alloys and the elementary Ta crystal are found. The high-entropy alloys show only little relaxation of the indentation dislocation network after indenter retraction and only negligible dislocation emission into the sample interior. Short-range order—besides making the alloy both stiffer and harder—further increases the size of the plastic zone and the dislocation density there. These features are explained by the slow dislocation migration in these alloys. Also, the short-range-ordered alloy features no twinning plasticity in contrast to the random alloy, while elemental Ta exhibits twinning under high stress but detwins considerably under stress relief. The results are in good qualitative agreement with our current knowledge of plasticity in high-entropy alloys.

Introduction

The mechanical properties of high-entropy alloys are receiving continuous attention 1 , 2 , 3 as they combine excellent strength with ductility 4 , 5 . One of the microscopic origins of their features lies in the slow dislocation activity in these alloys 6 , 7 that is caused by the lattice distortion brought about by the mix of atomic constituents with various sizes. Recently, high-entropy alloys forming single-phase bcc crystals have come into the focus of research. Among them, the equiatomic HfNbTaTiZr alloy has become one of the best investigated examples 3 ; it is also known as the Senkov alloy 8 . Thus, Xu et al. 9 directly model the shear strength of the HfNbTaTiZr alloy and observe failure by a bcc-to-fcc phase transformation initiating in HfTi rich regions. Liang et al. 10 study how variable fractions of Hf and Ta in HfNbTaTiZr alloys affect the tensile strength. Recently, Hf \(_{15}\) Nb \(_{40}\) Ta \(_{25}\) Ti \(_{15}\) Zr \(_{15}\) was found to be both strong and ductile at cryogenic to elevated temperatures 11 .

Due to the chemical complexity of these concentrated alloys, the local stoichiometry may deviate from the overall composition leading to local chemical short-range order. While difficult to monitor experimentally 12 , it is easily accessible to atomistic simulation techniques as emphasized in a recent review article 13 . This short-range order can have a sensitive effect on mechanical properties, as it controls the structure of dislocation nucleation and their mobility 14 , 15 , 16 , 17 , 18 . Predictions and experiments to taylor yield strength by controlling the short-range order are under way 19 .

The technique of nanoindentation is well known to be able to test mechanical properties under high compressive stress and non-uniaxial load 20 . Molecular dynamics (MD) simulation allows to model the processes occurring under such high loads in detail and has often been employed to study the processes of plasticity, defect formation and even phase transformation occurring 21 , 22 . Indentation into fcc high-entropy alloys has already been studied in detail previously 23 . Recent MD indentation studies on bcc high-entropy alloys include Ref. 24 which studies a non-equiatomic HfTaTiZr alloy and reports on phase transformation to hcp as the main process of plastic deformation; indeed such phase transformations have been predicted to be relevant for Ti-Zr-(Nb-)Hf-Ta high-entropy alloys on theoretical grounds 25 . Chen et al. 26 study equiatomic HfNbTaZr alloys which are similar to the Senkov alloy but miss the Ti component; their study reports on the relevance of including short-range order. Liu et al. 27 investigate a TaTiZrV alloy, albeit with a rather small sample containing less than 1 million atoms; they focus on the initial plasticity and dislocation nucleation processes. In bcc high-entropy alloys, anomalous structures of dislocation cores were identified 28 .

In the present paper, we study the plasticity induced during nanoindentation in the Senkov HfNbTaTiZr high-entropy alloy. Because of the possible influence of chemical short-range order discussed recently 9 , both a random alloy and an alloy with chemical short-range order are considered. In addition, we compare to the well understood case of indentation into an elementary Ta crystal 29 , 30 , 31 , allowing us to highlight the differences in plastic behavior. In particular we can observe the considerably more confined plastic zone in the HEA as compared to an elemental bcc crystal, which gives evidence of the high activation barriers to dislocation motion in these crystals.

We study the indentation of a random HfNbTaTiZr alloy; for reference purposes we compare it to that in a pure Ta crystal. For convenience, we will denote the random alloy as the (random) HEA crystal. The single-crystalline HEA substrate has a (100) surface, lateral sizes of 92.5 nm, a depth of 50.6 nm, and contains 21 973 248 atoms. A pure Ta crystal containing the same number of atoms is constructed, which has a lateral extension of 89.8 nm and a depth of 48.9 nm. As it is common in indentation simulations 22 , ideal defect-free crystals are used. Note that – assuming a dislocation density of \(10^{12}\) m \(^{-2}\) for an annealed metal sample – the dislocation length in the simulation volume is smaller than 1 nm, and hence negligible. From other studies 32 , it is known that quite high initial dislocation densities, in the range of \(10^{15}\) m \(^{-2}\) and above, would be required to influence the indentation behavior markedly.

In the HEA crystal, the atoms are distributed randomly over the lattice points of a bcc structure with equal fractions of 20%. After relaxation to a final temperature of around 10 mK and low stress components around \(10^{-4}\) GPa, it has a lattice constant of 3.3888 Å. This value is in good agreement with experimental data 8 , 33 , 34 . For comparison, we note that the lattice constant of Ta in the potential adopted in this study is 3.2897 Å.

The interatomic potential is chosen as an embedded-atom-method-type potential 9 based on previous work on the construction of alloy potentials 35 , 36 . Xu et al. 9 implemented this potential in order to correctly describe the short-range order and the resulting shear strengths in HfNbTaTi-based quinary refractory multi-principal element alloys. We note that an alternative potential for this material is available 37 , but our calculation of elastic constants using that potential does not match experimental results as well as the potential used here, as mentioned by Ref. 9. The potential for the pure Ta crystal has been developed by Ravelo et al. 38 with a particular focus on describing plasticity and the high-pressure behavior of this metal correctly and has been used previously to model nanoindentation 30 , 31 .

For the indentation simulation, the bottom and the lateral sides of the samples are fixed in a layer of thickness 6 Å to prevent the whole substrate from any translational movement. The next layers with a thickness of 8 Å are kept at a temperature of 10 mK by a velocity-scaling thermostat 39 . Such a low temperature is chosen to minimize thermal vibrations and help in the identification of defects.

The indenter is modeled as a repulsive sphere. The interaction potential between the indenter and the substrate atoms is limited to distances \(r<R\) , where R is the indenter radius; in this study we fix it to \(R = 10\) nm. The indenter interacts with the substrate atoms by the potential

where r is the distance of a substrate atom to the center of the indenter. The indenter stiffness has been set to \(k= 3.3\) eV/Å \(^3\) . 40 , 41

The indenter is initially positioned immediately above the surface; at time \(t=0\) it starts moving perpendicular to the target with a velocity of 20 m/s. We penetrate to a final depth of \(d=4\) nm, which is reached at \(t=200\) ps. Then the indenter is held fixed for a time of 100 ps, until it recedes with a velocity of 20 m/s. Fig.  1 summarizes the simulation setup as a schematic.

figure 1

Schematic of the simulation setup. The radius R of the indenter and the dimensions of the simulation sample are indicated. The substrate has thermostatting and rigid zones at its boundaries. The contact area at full indentation depth \(d=4\) nm, is colored in light blue. .

We use the open-source LAMMPS code 42 with a constant time step of 1 fs to perform the simulations. The free software tool OVITO 43 is employed to visualize the atomistic configurations. Dislocation profiling has been made by the use of the Crystal Analysis Tool (CAT) 44 , 45 , 46 , including the determination of dislocation lengths and junctions. This tool also has the capability to perform 2D defective structure identification, like twin boundaries. The parameters employed were 0.39 nm for the neighboring cutoff and 0.9 (1.6) nm for the trial and extended circuit lengths, respectively.

Short-range order

Due to the interatomic interactions and to effects during synthesis and thermal processing, alloys may develop chemical short-range order which leads to marked differences in their mechanical behavior, as was for instance demonstrated in Ref. 9 and also for the related HfNbTaZr alloy 26 . We therefore used Monte Carlo simulation at a temperature of 100 K to create an alloy with an equilibrated short-range order. After \(4.7 \times 10^6\) Monte-Carlo steps in a sample of \(40 \times 40 \times 40\) lattice constants containing 128,000 atoms, a reduction of the potential energy of the sample by around 1% could be achieved, see Fig.  2 a.

figure 2

Evolution of the ( a ) potential energy and the ( b ) WC parameters, Eq.  2 , during a 4.7-million-step MC run.

The established short-range order can be quantified by the so-called Warren-Cowley parameters 47 , 48 . These are defined as

where \(p_{ij}\) is the probability of finding an atom of type j in the first-neighbor shell of an atom of type i and \(c_j\) is the (average) concentration of atoms of type j . Note that for an equi-atomic alloy, it is \(\alpha _{ij} = \alpha _{ji}\) , since \(p_{ij} = p_{ji}\) , and for 5 species the range of \(\alpha _{ij}\) is between \(-4\) and \(+1\) . Thus, a random alloy is characterized by \(\alpha _{ij} =0\) ; for \(i \ne j\) , values of \(\alpha _{ij} > 0\) denote atomic repulsion, while \(\alpha _{ij} <0\) denotes attraction (ordering, segregation); a random alloy is characterized by \(\alpha _{ij} =0\) .

The evolution of the Warren-Cowley parameters is plotted in Fig.  2 b and shows that the chemical evolution reached an equilibrium for most of the species pairs. Thus, for instance, strong tendency of Hf-Ti ordering ( \(\alpha < -1\) ) is observed, which is illustrated in Fig.  3 ; this finding is in agreement with a previous study 9 . A closer analysis shows that small HfTi clusters (precipitates) of a few (2–3) nm diameter with an ordered B2 structure have been established. We note that the presence of such small precipitates has been identified experimentally with electron microscopy, albeit for a different (fcc CoCrNi) alloy 12 . Similarly, but not so pronounced, also TiZr ordering shows up. The large values of the Warren-Cowley parameter for Hf-Hf pairs ( \(\alpha \sim +1\) ) demonstrate that Hf prefers not to be nearest neighbor of its own species, but rather second-nearest neighbor such as in the B2 structure. We note that experiments provide a complex view of short-range order in the Senkov alloy. For instance, it has been reported that the alloy decomposes at high temperatures (above 1000 K) into two phases of differing stoichiometry 33 , 49 .

figure 3

View on a cut through the SRO sample, highlighting atom segregation and formation of B2-ordered regions. Atoms are colored according to atom species.

We conclude that even though atom reordering to induce short-range order does not lead to substantial changes in the potential energy of the sample, it has major consequences for the local alloy structure and may in particular nucleate small clusters of locally ordered regions in the form of B2-ordered precipitates.

For indentation simulations, we construct a sample extending 81.7 nm \(\times\) 81.7 nm laterally and 54.4 nm in depth, containing \(18.4 \times 10^6\) atoms. For convenience, we shall denote this short-range-ordered HfNbTaTiZr alloy as the SRO sample. Its lattice constant amounts to 3.389 Å, in agreement with the random HEA sample. Indentation on this sample is performed in strict analogy with the random HEA and Ta samples.

Indentation force and hardness

The evolution of the indentation force with time is displayed in Fig.  4 a. Note that since the indenter moves with a constant velocity of 20 m/s during the indentation and retraction phases, this diagram immediately translates into a force-depth curve. Already during the indentation phase, strong differences between the alloys and elemental Ta show up: For Ta, the elastic phase only ends at 70 ps (depth of 14 Å) and is marked by a strong force drop caused by a burst of dislocation formation 22 , 30 . The two alloys, on the other hand, end their elastic phase already at 50 ps (depth of 10 Å) showing only a tiny force drop. This indicates that dislocation nucleation occurs more easily in the alloys than in the elemental crystal, but induces less stress relief. This feature also shows up during the later stages of the indentation curve, where force fluctuations induced by dislocation generation lead to strong fluctuations in the force curve for Ta, but not in the alloys.

figure 4

Evolution of the ( a ) normal force and ( b ) contact pressure with time for the random HEA and SRO alloys and the Ta crystal. Indentation proceeds until time 200 ps; the indenter is held constant until 300 ps and then retracted. The vertical lines indicate these times.

During the elastic phase, the force follows the Hertzian law,

as a function of the indentation depth d . Since the indenter radius R is unchanged, the difference between the curves is entirely caused by the different indentation moduli \(E_{\text{ind}}\) which are given by the elastic constants as \(E_{\text{ind}}= Y/(1-\nu ^2)\) . The elastic constants of the materials studied here are assembled in Table  1 . The higher stiffness of Ta explains the steeper force curve in Fig.  4 a. The two alloys have quite similar elastic constants; note, however, that SRO is slightly stiffer than the random HEA, explaining the steeper Hertzian rise.

During the hold phase, the high forces needed to indent to a depth of 4 nm show a considerable decrease, indicating that the material relaxes under the indenter, in particular by dislocation motion and reactions. The force decreases during a time of around 50 ps, indicating that the hold time of 100 ps adopted in our simulations is adequate; note, however, the persistent force fluctuations up to the end of the hold phase indicating that in the strong stress field generated by the indenter, defect processes continue to develop. The final retraction phase is characterized by a monotonic decrease of the force exerted on the receding indenter. The indenter leaves the indent pit at a time of around 360 ps (at a depth of 28 Å) for all three materials, indicating that the indent pit has elastically recovered.

The force F can be used to calculate the contact pressure on the indenter via \(p=F/A\) , see Fig.  4 b, where A is the contact area projected on the crystal surface. We determined the contact area via the atoms that are in contact with the indenter 50 . After prolonged indentation, the contact pressure stabilizes—apart from fluctuations, which are particularly large for the elemental crystal, Ta, as discussed above. The averaged contact pressure is denoted as the (indentation) hardness \(H_{\text{ind}}\) , and its value is listed in Table  1 . Ta has a considerably larger hardness than the alloys. Interestingly, the SRO alloy shows a by 10 % increased hardness as compared to the random HEA. This is explained by the presence of B2 precipitates that impede dislocation motion and help hardening.

We note that in previous studies, the influence of short-range order on the hardness of the medium-entropy fcc alloy CoCrNi was studied. Experimentally, larger hardness and strength are found for the short-range-ordered alloy than for the random alloy 12 . This fact is corroborated by dedicated simulations of the behavior under nanoindentation 51 , 52 , where it is found that with increasing short-range order, indentation hardness and strength increase. This strengthening behavior was attributed to an increase of the force needed for dislocation nucleation; also, dislocation pinning was increased by local Ni short-range-ordered structures. The effects found for the fcc alloy thus parallel closely those found in the present study for the bcc HEA.

The dislocation relaxation processes during the hold phase lead to a reduction of the stress field inside the material and hence of the contact pressure. We average the contact pressure over the last 50 ps of the hold phase, after the stress fields stabilized, and denote it as the hold hardness, \(H_{\text{hold}}\) . Table  1 demonstrates a substantial reduction of the hold hardness with respect to the indentation hardness. Interestingly, this reduction is strongest (27%) for the elementary crystal and least for the SRO alloy (20 %), indicating the enhanced difficulty of dislocation motion and stress relaxation in the alloys. We note that our values of hardness agree extremely well with experimental values between 6 and 8 GPa 53 and between 4 and 6 GPa 54 , for small penetration depths.

In experiment, indentation hardness is often determined by a method devised by Oliver and Pharr 55 , 56 , 57 . It determines hardness from the force and the geometrically determined projected contact area at maximum load corrected for the sink-in phenomenon; it results in larger values than those listed in Table  1 —e.g. \(H_{\text{ind}}= 14.5\) for pure Ta—basically because the geometric contact area underestimates the true contact area, which is defined by all atoms in contact with the indenter that bear the load. The method also allows to determine the indentation modulus \(E_{\text{ind}}\) from the unloading curve. Again, the values obtained are too high, for instance \(E_{\text{ind}}=245\) GPa for Ta, compared to the true value of 215 GPa. This overestimation may be caused by the fact that the unloading curve measures the mechanical properties of a defective and already work-hardened material. We explicitly note that both in the Oliver-Pharr method and in the analysis of the simulation data, pressure is calculated by dividing the normal force by the projected area of the indenter. These comments have been made in order to warn against the uncritical use of the Oliver-Pharr method for the analysis of MD data.

  • Dislocations

The differences between the forces exerted on the three crystals lead also to considerable differences in the dislocation patterns developing under the indenter. Figure 5 illustrates the dislocation networks established at the end of the indentation and hold phase and also after retraction of the indenter for the three crystals studied. The most noteworthy difference shows up in elementary Ta, in which abundant dislocation emission in the form of prismatic dislocation loops is observed. This phenomenon has been studied in detail in previous simulations 30 ; the dislocation loops are formed by the so-called lasso mechanism in which the edge dislocations of extended semiloops approach and annihilate each other such that a full loop is emitted 22 , 31 . This mechanism is strongly suppressed in the two alloys, since the semiloops do not extend far enough from the indent pit that the two parallel edge dislocations could approach each other. For the random HEA, at least the emission of one small loop can be observed; however, it does not travel far even though the stress field in the vicinity of the indenter is still strong after the hold phase. These snapshots thus demonstrate the small dislocation mobility in the alloys and in particular in the SRO alloy.

figure 5

Snapshots showing the dislocation network in the random HEA and SRO alloys and the Ta crystal at full indentation, after the hold phase and after retraction of the indenter. Brown: deformed surface and other unidentified defects. Dislocations are colored according to their Burgers vector \(\varvec{b}\) : blue \(\frac{1}{2} \langle 111 \rangle\) , red \(\langle 100 \rangle\) .

A second notable feature relates to the complexity of the network adjacent to the indent pit, which is denoted as the plastic zone. Technically speaking, the extent of the plastic zone is determined by the dislocation segment which is farthest from the indentation point 58 ; this distance—denoted as the plastic-zone radius, \(R_{\text{pl}}\) —is readily determined by the OVITO software 43 used to analyze the simulation output. Since ejected dislocation loops may move far from the indenter by the stress field exerted by the indenter, they are not included in the definition of the plastic zone. After retraction, only few dislocations remain in the plastic zone of Ta, while the dislocation density in the plastic zone of the alloys remains high. The plastic-zone radius, \(R_{\text{pl}}\) , may be scaled to the geometric contact radius, \(a_c = \sqrt{2Rd - d^2} = 8\) nm, to yield the plastic-zone size factor \(f=R_{\text{pl}}/a_c\) in order to allow comparison to other indenter radii R and indentation depths d . Table  2 assembles these values for the crystals studied here. A clear reduction of the plastic zone during the hold phase for all crystals except the SRO alloy is observed. However, the alloys show only negligible further reduction during the indenter retraction phase while the size of the Ta plastic zone strongly collapses.

These observations on the size of the plastic zone must be complemented by the total length of dislocations, \(L_{\text{disl}}\) , within this zone, and to the average dislocation density \(\rho\) , which is determined by \(\rho = L_{\text{disl}}/ V_{\text{pl}}\) , where \(V_{\text{pl}}\) is the volume of the plastic zone. Table  2 shows that the total length of dislocations is comparable after the indent phase, since it is essentially given by the geometrically necessary dislocations which are needed to move the material out of the indent pit into the sample interior 22 , 59 . However, both the hold and in particular the retraction phase lead to strong reductions of \(L_{\text{disl}}\) for the elementary Ta; the reductions for the random HEA are not so pronounced. Thus, the dislocation length is in all phases largest for the SRO alloy, emphasizing the lack of dislocation mobility in this alloy. In the SRO alloy, also the dislocation density is highest; its value stays rather constant at 1.6– \(1.8 \times 10^{16}\) m \(^{-2}\) in all phases, while the random HEA and Ta have densities below \(1 \times 10^{16}\) m \(^{-2}\) .

Figure 6 further illustrates the high density of dislocations by plotting the radial dependence of the dislocation density for the three materials studied after indenter retraction. Clearly, the extreme density values found within the plastic zone strongly exceed the average values given in Table  2 . The SRO crystal not only has the highest densities in the plastic zone; also, its plastic zone extends farthest out. This is caused by the fact that 78% of the dislocations generated during the indentation phase survived for the SRO alloy within the plastic zone.

figure 6

Radial dependence of the dislocation density in the random HEA and SRO alloys and the Ta crystal after retraction.

The Dislocation Extraction Algorithm (DXA) 60 within OVITO also provides the number of dislocation segments in a given frame. After stress release, the average segment length amounts to 4.1 nm in SRO, while it is only 4.7 nm in the random HEA and 5.8 nm in Ta, following the expected trend.

The complexity of the dislocation network can also be assessed by the number of dislocation junctions, J . The number of junctions in the elementary crystal is substantially smaller than in the random HEA alloy, indicating the comparably higher network complexity of the alloy visible in Fig.  5 . The SRO crystal develops a smaller number of junctions than the random HEA crystal.

Dislocations in bcc crystals have mostly Burgers vector \(\varvec{b}= 1/2\langle 111 \rangle\) , since these have lowest energy, but under the intense stress fields created during indentation, also dislocations with \(\varvec{b}= \langle 100 \rangle\) are observed. We illustrate the network formed by these dislocations in Fig.  7 for the case of the random HEA after the hold phase. The figure illustrates the complexity of the network formed, emphasizing the large number of dislocation junctions present. Dislocations start and end at a highly defective, disordered zone covering the bottom of the indent pit. The analogous snapshot for the SRO is depicted in the Supplementary Material S1 and shows a similarly compact dislocation network.

figure 7

Snapshots showing the dislocation network in the random HEA alloy after the hold phase. The right-hand-side panel zooms into the region highlighted by a circle in the left-hand-side panel. Dislocations are colored according to their Burgers vector \(\varvec{b}\) as in Fig.  5 , and yellow denotes \(\varvec{b}= \langle 110 \rangle\) . Atoms are colored according to the local crystal structure: red (hcp) and green (fcc).

Table  3 quantifies the fractions of \(\varvec{b}= \langle 100 \rangle\) and \(\varvec{b}= 1/2\langle 111 \rangle\) dislocations formed and demonstrates the preponderance of the energetically favored \(\varvec{b}= 1/2\langle 111 \rangle\) dislocations. In the process of dislocation relaxation after tip retraction, however, dislocation reactions tend to form \(\varvec{b}= \langle 100 \rangle\) dislocations, or in other words, a larger percentage of \(\varvec{b}= 1/2\langle 111 \rangle\) dislocations annihilate. This occurs in particular in the plastic zone of the elementary crystal, Ta, where most dislocations are annihilated, but to some degree also in the alloy crystals.

In elementary bcc metals, screw dislocations dominate the strength since their mobility is small due to the very compact core structure 61 . However, recently Curtin and coworkers emphasized the role that edge dislocations play in the strength of bcc high-entropy alloys 62 , 63 and refined theories of the strength of bcc high-entropy alloys based on the different behavior of edge and screw dislocations have been developed 64 , 65 , 66 . We therefore analyzed the dislocations formed in the entire simulation volume according to their screw or edge character. To this end, we determined the angle \(\theta\) between the dislocation line and its Burgers vector; if \(\theta < 30^\circ\) , we count the dislocation as screw, if \(\theta > 60^\circ\) : as edge, and as mixed in all other cases. Table  3 assembles the fractions of dislocations categorized according to this scheme. For the elementary crystal, Ta, a simple picture shows up: While immediately after indent, all characters show up with similar frequency, after hold and in particular after indenter retraction, most dislocations show edge character; this preponderance of edge dislocations is caused by the ejected prismatic loops which feature a pure edge character and is in agreement with the general knowledge that the mobility of edge dislocations in bcc material by far exceeds that of screw dislocations. This preference of edge dislocations cannot be observed for the alloy crystals. There, a rather uniform mixture of edge and screw character shows up with a small preference, if any, towards screw character.

The limited dislocation mobility in the random HEA severely hinders the dislocation reactions required for prismatic loop emission, e.g. with the lasso mechanism 31 , and leads to the complete absence of prismatic loops for the SRO sample. Something similar was observed under tension for a bulk sample containing a void, where Ta exhibited long dislocation loops while HfNbTaZr showed only short dislocations 67 . We note that experiments, including TEM observations, suggest that the plasticity in HfNbTaTiZr was due to screw dislocation glide 34 , 68 , 69 .

In a recent study, Chen et al. 16 explored the dislocation character created under uniaxial tensile load in a bcc MoTaTiWZr alloy and also report a preponderance of screw over edge dislocations. However, their findings have to be taken with caution, given the small sample sizes used (around \(10^5\) atoms).

In nanoindentation experiments, the occurrence of dislocation avalanches has been observed in the Senkov alloy, in particular at higher temperatures 70 . Such avalanches are caused by the sudden release of a group of sluggish dislocations and considerably increase the depth of the plastic zone.

Other defects and surface imprints

The high stresses in the vicinity of the indenter induce the formation of twin structures in the materials. We identified twin boundaries as well as the volumes of twinned regions. While the analysis of twin boundaries is facilitated by the CAT software 44 , 45 , 46 , the detection of the twinned volumes—i.e., the volume enclosed between twin boundaries—requires the calculation of the misorientation angle of the twinned region with respect to the basic crystal lattice which is accomplished via the Polyhedral Template Matching tool 71 ; for further details see Refs. 72 and 73.

Table  2 assembles the number of atoms present in twin boundaries, \(N_{\text{TB}}\) , and in twinned regions, \(N_{\text{twin}}\) , and thus quantifies the amount of twinning occurring in the Ta crystal and in the alloys studied. In addition, Fig.  8 displays the twinned regions in Ta and in the random HEA alloy; as discussed below, such regions do not exist in the SRO alloy. Table  2 shows that Ta features a considerable amount of twinning under stress; both in the indentation and hold phases. The location of these twinned regions is displayed in Fig.  8 ; the twins are immediately adjacent under the indenter pit as well as in pile-up regions on the surface. After indenter retraction, however, the twins under the indenter re-adjust to the surrounding lattice and only the near-surface twins in the pile-up survive. The importance of detwinning in Ta after stress release has already been demonstrated in previous studies 30 , 31 .

figure 8

Snapshots showing the twinned regions in Ta and in the random HEA alloy a the end of the indentation, hold and retraction phases. Atoms are colored by the misorientation angle towards the original lattice as given in the color bar. A surface mesh allows to identify the indent pit.

The random HEA sample, in contrast, shows considerable volume in the twinned regions, extending far below the indent pit; these twins also survive stress release after indenter retraction. This is plausible as it reflects the small mobility of dislocations in this alloy. Note that also in this alloy, at least in one of the surface pile-ups, a twin survives. For the SRO alloy, the amount of twin boundaries detected, is significantly smaller than in the other materials, see Table  2 . The twin volume for the SRO sample is actually zero, since the few atoms detected as twin boundaries form small clusters which do not appear to conform with a twin boundary. For this reason, the SRO alloy is not displayed in Fig.  8 . The absence of any substantial twinning in the short-range-ordered alloy is plausible as the coordinated crystal rotations required for twinning are thwarted by the breaking of the crystal symmetry caused by the short-range order and the presence of B2 precipitates. This might change for an alloy with larger B2 precipitates.

In experiment, 8 , 74 twinning was detected in deformation of HfNbTaTiZr for temperatures lower than 873 K; twinning at large shear strain has also been reported for the same EAM potential used here 9 , and twins under tension were found for simulations of HfNbTaZr when a void was present 67 , and for nanocrystalline samples 72 . However, Hu et al. do not observe twinning under the high applied stress through direct impact Hopkinson bar test and compression strain 75 .

Point defects are created only to a negligible amount in the crystals studied. For the elementary crystal, a few vacancies and interstitial dumbbells are created, and a few vacancies in the alloys. We conclude that creation of point defects does not contribute to the defect formation.

Figure 9 shows the indent imprints and the material pile-up left over on the surface after indenter retraction. Ta features the fourfold symmetry connected to the crystallography of the bcc (100) surface most clearly. The pile-up material is transported on the surface by the activation of the \(\{110\}\langle 111 \rangle\) slip system and is therefore situated at \(45^\circ\) from the cubic crystal axes on the surface, in agreement with experimental observation 29 . The pile-ups of the alloys exhibit a more circular structure; they also exhibit higher pile-up heights and volume in agreement with the higher dislocation activity in the vicinity of the indenter in these alloys.

figure 9

Top view of the indent pits and the surrounding pileups of the random HEA and SRO alloys and the Ta crystal. Color denotes height above the original surface after retraction.

Phase transformation

For the Ta and random HEA samples, we do not find any evidence for phase transformation of the bcc structure to other crystalline forms, with the exception of some hcp and fcc clusters just below the indenter, as shown in Fig.  7 . This is in contrast to previous related studies that find large amounts of phase-transformed material 9 , 24 , 25 . For the SRO sample, we find large clusters of defective hcp material in the high-stress zone, as seen in the Supporting Material. However, this phase disappears after unloading and we note that other structure detection methods 76 would be required to better quantify the presence of a phase transformation.

The enthalpy difference between bcc and fcc is typically less than 100 meV/atom for the pressure range under the indenter, as seen in the Supporting Material. For tensile pressure, fcc becomes the preferred phase at \(-13\) GPa. For hcp, the enthalpy differences are similar, and hcp becomes preferred at around \(-13.5\) GPa. Something similar 67 happened for a different interatomic potential for HfNbTaZr, with both fcc and hcp becoming preferred over bcc under large tensile stress, but with smaller energy differences, near 0.03 eV. Ref. 67 also found small clusters of fcc and hcp atoms, which were dismissed as detector noise instead of representative of phase change. Simulations 9 have shown than pure shear of a bulk sample leads to a bcc-to-fcc transition. MD simulations 24 of nanoindentation of the Ta \(_{0.5}\) (HfZrTi) \(_{0.5}\) metastable alloy showed a bcc-to-hcp transformation. DFT calculations 25 indicate that an equiatomic alloy, after including lattice relaxation, would be far from the limit of TRansformation-Induced Plasticity (TRIP) behavior due to a bcc-to-hcp ( \(\omega\) phase) transition, and they reflect on the difficulty in distinguishing a distorted \(\omega\) phase from a distorted bcc phase. Experiments 77 show that TRIP behavior can be obtained by a significant increase of Ti content, compared to equiatomic composition. Finally, Chen et al. 26 reported indentation-induced amorphization of nanocrystalline HfNbTaZr which, however, vanished after unloading. Inspection of their Fig. 5 indicates growth/decrease in the number of atoms identified by DXA as ‘other’ structures during loading/unloading, but with those atoms having a large degree of order. Therefore, this might only reflect the difficulty in identifying phases under inhomogeneous strain, particularly for the Common Neighbor Analysis (CNA) method used by DXA, and might not represent an actual phase transition. Such misidentification by CNA can occur also for atoms in cubic phases, within the naturally distorted HEA structures 76 . Amorphization, supported by the lack of structure in the pair correlation function, was found in nanocrystalline HfNbTaZr under tension, for 5 nm grain size 72 .

We explored the mechanical properties of the high-entropy bcc Senkov alloy by simulated nanoindentation. Both a random HfNbTaTiZr alloy and an alloy exhibiting short-range order were modeled and their performance was compared to that of an elementary Ta crystal. The simulation volume was chosen sufficiently large (> 20 million atoms) that boundary effects were minimized.

Short-range order was introduced into the sample by a Monte Carlo procedure. We observe a slight stiffening of the elastic constants and an increase of the indentation hardness on the 10% level. These changes are caused by the generation of HfTi-rich precipitates in the B2 structure which impede dislocation motion and help hardening. The existence of such precipitates is in line with previous work 9 .

The indentation-induced plasticity is mainly based on dislocation generation and activation. However, dislocation emission from the plastic zone under the indenter, which is a common phenomenon in elemental bcc crystals and also in Ta, is strongly impeded or even absent in the alloys. Also, dislocation recovery after indenter withdrawal is constrained in the alloys; while the radius of the plastic zone in pure Ta shrinks by 50%, it is reduced by only 30 % in the random alloy and stays approximately constant for the short-range-ordered alloy. In consequence, also the dislocation densities in the plastic zone are highest for the alloys, and in particular for the SRO alloy. These features mirror the decreased dislocation mobility in the alloys.

In addition, twinning contributes to the plastic deformation. Twinning is strongest in the random alloy; however, the twinned volume shrinks to one third after unloading. The remaining twins are found both on top of the surface in the pile-up and in the region below the indenter. Also in the elementary Ta crystal, we observe twinning 30 , 31 ; here, however de-twinning is strong such that only < 6% of the twinned volume survives; it is all situated in near-surface pile-up regions. For the SRO alloy, no twinning is found. In that alloy, the breaking of the crystal symmetry and in particular the presence of B2 precipitates prevent the coordinated motion necessary for twin formation, favoring instead some limited transition to the hcp phase, next to the indenter.

In contrast to previous studies 27 , we use samples that are large enough to accommodate the extension of the dislocation network under load including loop ejection. Our comprehensive analysis includes the identification of screw/edge dislocation character as well as the quantification of the twin volumes. In addition, we are the first to compare favorably with experiments regarding both hardness 53 , 54 and microstructure 8 , 34 , 68 , 69 , 74 . Detailed understanding of plasticity might allow design of future alloys with improved performance.

Data availability

All data used for this study are contained in this article.

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Acknowledgements

Simulations were performed at the High Performance Cluster Elwetritsch (RHRK, RPTU Kaiserslautern, Germany).

Open Access funding enabled and organized by Projekt DEAL. IAA appreciates the financial support from the Simulation Science Center Clausthal / Göttingen and the German Research Foundation (DFG) under contract GU1530/11-1, SPP 2315. ORD, DT and EMB thank support from a SIIP-UNCUYO-2022-2023 grant, from PICTO-UUMM-2019-00048 and from PIP 2021-2023 11220200102578CO. Open Access funding enabled and organized by Projekt DEAL.

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Alhafez, I.A., Deluigi, O.R., Tramontina, D. et al. Nanoindentation into a bcc high-entropy HfNbTaTiZr alloy—an atomistic study of the effect of short-range order. Sci Rep 14 , 9112 (2024). https://doi.org/10.1038/s41598-024-59761-6

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