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How To Write The Methodology Chapter

The what, why & how explained simply (with examples).

By: Jenna Crossley (PhD) | Reviewed By: Dr. Eunice Rautenbach | September 2021 (Updated April 2023)

So, you’ve pinned down your research topic and undertaken a review of the literature – now it’s time to write up the methodology section of your dissertation, thesis or research paper . But what exactly is the methodology chapter all about – and how do you go about writing one? In this post, we’ll unpack the topic, step by step .

Overview: The Methodology Chapter

  • The purpose  of the methodology chapter
  • Why you need to craft this chapter (really) well
  • How to write and structure the chapter
  • Methodology chapter example
  • Essential takeaways

What (exactly) is the methodology chapter?

The methodology chapter is where you outline the philosophical underpinnings of your research and outline the specific methodological choices you’ve made. The point of the methodology chapter is to tell the reader exactly how you designed your study and, just as importantly, why you did it this way.

Importantly, this chapter should comprehensively describe and justify all the methodological choices you made in your study. For example, the approach you took to your research (i.e., qualitative, quantitative or mixed), who  you collected data from (i.e., your sampling strategy), how you collected your data and, of course, how you analysed it. If that sounds a little intimidating, don’t worry – we’ll explain all these methodological choices in this post .

Free Webinar: Research Methodology 101

Why is the methodology chapter important?

The methodology chapter plays two important roles in your dissertation or thesis:

Firstly, it demonstrates your understanding of research theory, which is what earns you marks. A flawed research design or methodology would mean flawed results. So, this chapter is vital as it allows you to show the marker that you know what you’re doing and that your results are credible .

Secondly, the methodology chapter is what helps to make your study replicable. In other words, it allows other researchers to undertake your study using the same methodological approach, and compare their findings to yours. This is very important within academic research, as each study builds on previous studies.

The methodology chapter is also important in that it allows you to identify and discuss any methodological issues or problems you encountered (i.e., research limitations ), and to explain how you mitigated the impacts of these. Every research project has its limitations , so it’s important to acknowledge these openly and highlight your study’s value despite its limitations . Doing so demonstrates your understanding of research design, which will earn you marks. We’ll discuss limitations in a bit more detail later in this post, so stay tuned!

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methodology for phd

How to write up the methodology chapter

First off, it’s worth noting that the exact structure and contents of the methodology chapter will vary depending on the field of research (e.g., humanities, chemistry or engineering) as well as the university . So, be sure to always check the guidelines provided by your institution for clarity and, if possible, review past dissertations from your university. Here we’re going to discuss a generic structure for a methodology chapter typically found in the sciences.

Before you start writing, it’s always a good idea to draw up a rough outline to guide your writing. Don’t just start writing without knowing what you’ll discuss where. If you do, you’ll likely end up with a disjointed, ill-flowing narrative . You’ll then waste a lot of time rewriting in an attempt to try to stitch all the pieces together. Do yourself a favour and start with the end in mind .

Section 1 – Introduction

As with all chapters in your dissertation or thesis, the methodology chapter should have a brief introduction. In this section, you should remind your readers what the focus of your study is, especially the research aims . As we’ve discussed many times on the blog, your methodology needs to align with your research aims, objectives and research questions. Therefore, it’s useful to frontload this component to remind the reader (and yourself!) what you’re trying to achieve.

In this section, you can also briefly mention how you’ll structure the chapter. This will help orient the reader and provide a bit of a roadmap so that they know what to expect. You don’t need a lot of detail here – just a brief outline will do.

The intro provides a roadmap to your methodology chapter

Section 2 – The Methodology

The next section of your chapter is where you’ll present the actual methodology. In this section, you need to detail and justify the key methodological choices you’ve made in a logical, intuitive fashion. Importantly, this is the heart of your methodology chapter, so you need to get specific – don’t hold back on the details here. This is not one of those “less is more” situations.

Let’s take a look at the most common components you’ll likely need to cover. 

Methodological Choice #1 – Research Philosophy

Research philosophy refers to the underlying beliefs (i.e., the worldview) regarding how data about a phenomenon should be gathered , analysed and used . The research philosophy will serve as the core of your study and underpin all of the other research design choices, so it’s critically important that you understand which philosophy you’ll adopt and why you made that choice. If you’re not clear on this, take the time to get clarity before you make any further methodological choices.

While several research philosophies exist, two commonly adopted ones are positivism and interpretivism . These two sit roughly on opposite sides of the research philosophy spectrum.

Positivism states that the researcher can observe reality objectively and that there is only one reality, which exists independently of the observer. As a consequence, it is quite commonly the underlying research philosophy in quantitative studies and is oftentimes the assumed philosophy in the physical sciences.

Contrasted with this, interpretivism , which is often the underlying research philosophy in qualitative studies, assumes that the researcher performs a role in observing the world around them and that reality is unique to each observer . In other words, reality is observed subjectively .

These are just two philosophies (there are many more), but they demonstrate significantly different approaches to research and have a significant impact on all the methodological choices. Therefore, it’s vital that you clearly outline and justify your research philosophy at the beginning of your methodology chapter, as it sets the scene for everything that follows.

The research philosophy is at the core of the methodology chapter

Methodological Choice #2 – Research Type

The next thing you would typically discuss in your methodology section is the research type. The starting point for this is to indicate whether the research you conducted is inductive or deductive .

Inductive research takes a bottom-up approach , where the researcher begins with specific observations or data and then draws general conclusions or theories from those observations. Therefore these studies tend to be exploratory in terms of approach.

Conversely , d eductive research takes a top-down approach , where the researcher starts with a theory or hypothesis and then tests it using specific observations or data. Therefore these studies tend to be confirmatory in approach.

Related to this, you’ll need to indicate whether your study adopts a qualitative, quantitative or mixed  approach. As we’ve mentioned, there’s a strong link between this choice and your research philosophy, so make sure that your choices are tightly aligned . When you write this section up, remember to clearly justify your choices, as they form the foundation of your study.

Methodological Choice #3 – Research Strategy

Next, you’ll need to discuss your research strategy (also referred to as a research design ). This methodological choice refers to the broader strategy in terms of how you’ll conduct your research, based on the aims of your study.

Several research strategies exist, including experimental , case studies , ethnography , grounded theory, action research , and phenomenology . Let’s take a look at two of these, experimental and ethnographic, to see how they contrast.

Experimental research makes use of the scientific method , where one group is the control group (in which no variables are manipulated ) and another is the experimental group (in which a specific variable is manipulated). This type of research is undertaken under strict conditions in a controlled, artificial environment (e.g., a laboratory). By having firm control over the environment, experimental research typically allows the researcher to establish causation between variables. Therefore, it can be a good choice if you have research aims that involve identifying causal relationships.

Ethnographic research , on the other hand, involves observing and capturing the experiences and perceptions of participants in their natural environment (for example, at home or in the office). In other words, in an uncontrolled environment.  Naturally, this means that this research strategy would be far less suitable if your research aims involve identifying causation, but it would be very valuable if you’re looking to explore and examine a group culture, for example.

As you can see, the right research strategy will depend largely on your research aims and research questions – in other words, what you’re trying to figure out. Therefore, as with every other methodological choice, it’s essential to justify why you chose the research strategy you did.

Methodological Choice #4 – Time Horizon

The next thing you’ll need to detail in your methodology chapter is the time horizon. There are two options here: cross-sectional and longitudinal . In other words, whether the data for your study were all collected at one point in time (cross-sectional) or at multiple points in time (longitudinal).

The choice you make here depends again on your research aims, objectives and research questions. If, for example, you aim to assess how a specific group of people’s perspectives regarding a topic change over time , you’d likely adopt a longitudinal time horizon.

Another important factor to consider is simply whether you have the time necessary to adopt a longitudinal approach (which could involve collecting data over multiple months or even years). Oftentimes, the time pressures of your degree program will force your hand into adopting a cross-sectional time horizon, so keep this in mind.

Methodological Choice #5 – Sampling Strategy

Next, you’ll need to discuss your sampling strategy . There are two main categories of sampling, probability and non-probability sampling.

Probability sampling involves a random (and therefore representative) selection of participants from a population, whereas non-probability sampling entails selecting participants in a non-random  (and therefore non-representative) manner. For example, selecting participants based on ease of access (this is called a convenience sample).

The right sampling approach depends largely on what you’re trying to achieve in your study. Specifically, whether you trying to develop findings that are generalisable to a population or not. Practicalities and resource constraints also play a large role here, as it can oftentimes be challenging to gain access to a truly random sample. In the video below, we explore some of the most common sampling strategies.

Methodological Choice #6 – Data Collection Method

Next up, you’ll need to explain how you’ll go about collecting the necessary data for your study. Your data collection method (or methods) will depend on the type of data that you plan to collect – in other words, qualitative or quantitative data.

Typically, quantitative research relies on surveys , data generated by lab equipment, analytics software or existing datasets. Qualitative research, on the other hand, often makes use of collection methods such as interviews , focus groups , participant observations, and ethnography.

So, as you can see, there is a tight link between this section and the design choices you outlined in earlier sections. Strong alignment between these sections, as well as your research aims and questions is therefore very important.

Methodological Choice #7 – Data Analysis Methods/Techniques

The final major methodological choice that you need to address is that of analysis techniques . In other words, how you’ll go about analysing your date once you’ve collected it. Here it’s important to be very specific about your analysis methods and/or techniques – don’t leave any room for interpretation. Also, as with all choices in this chapter, you need to justify each choice you make.

What exactly you discuss here will depend largely on the type of study you’re conducting (i.e., qualitative, quantitative, or mixed methods). For qualitative studies, common analysis methods include content analysis , thematic analysis and discourse analysis . In the video below, we explain each of these in plain language.

For quantitative studies, you’ll almost always make use of descriptive statistics , and in many cases, you’ll also use inferential statistical techniques (e.g., correlation and regression analysis). In the video below, we unpack some of the core concepts involved in descriptive and inferential statistics.

In this section of your methodology chapter, it’s also important to discuss how you prepared your data for analysis, and what software you used (if any). For example, quantitative data will often require some initial preparation such as removing duplicates or incomplete responses . Similarly, qualitative data will often require transcription and perhaps even translation. As always, remember to state both what you did and why you did it.

Section 3 – The Methodological Limitations

With the key methodological choices outlined and justified, the next step is to discuss the limitations of your design. No research methodology is perfect – there will always be trade-offs between the “ideal” methodology and what’s practical and viable, given your constraints. Therefore, this section of your methodology chapter is where you’ll discuss the trade-offs you had to make, and why these were justified given the context.

Methodological limitations can vary greatly from study to study, ranging from common issues such as time and budget constraints to issues of sample or selection bias . For example, you may find that you didn’t manage to draw in enough respondents to achieve the desired sample size (and therefore, statistically significant results), or your sample may be skewed heavily towards a certain demographic, thereby negatively impacting representativeness .

In this section, it’s important to be critical of the shortcomings of your study. There’s no use trying to hide them (your marker will be aware of them regardless). By being critical, you’ll demonstrate to your marker that you have a strong understanding of research theory, so don’t be shy here. At the same time, don’t beat your study to death . State the limitations, why these were justified, how you mitigated their impacts to the best degree possible, and how your study still provides value despite these limitations .

Section 4 – Concluding Summary

Finally, it’s time to wrap up the methodology chapter with a brief concluding summary. In this section, you’ll want to concisely summarise what you’ve presented in the chapter. Here, it can be a good idea to use a figure to summarise the key decisions, especially if your university recommends using a specific model (for example, Saunders’ Research Onion ).

Importantly, this section needs to be brief – a paragraph or two maximum (it’s a summary, after all). Also, make sure that when you write up your concluding summary, you include only what you’ve already discussed in your chapter; don’t add any new information.

Keep it simple

Methodology Chapter Example

In the video below, we walk you through an example of a high-quality research methodology chapter from a dissertation. We also unpack our free methodology chapter template so that you can see how best to structure your chapter.

Wrapping Up

And there you have it – the methodology chapter in a nutshell. As we’ve mentioned, the exact contents and structure of this chapter can vary between universities , so be sure to check in with your institution before you start writing. If possible, try to find dissertations or theses from former students of your specific degree program – this will give you a strong indication of the expectations and norms when it comes to the methodology chapter (and all the other chapters!).

Also, remember the golden rule of the methodology chapter – justify every choice ! Make sure that you clearly explain the “why” for every “what”, and reference credible methodology textbooks or academic sources to back up your justifications.

If you need a helping hand with your research methodology (or any other component of your research), be sure to check out our private coaching service , where we hold your hand through every step of the research journey. Until next time, good luck!

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PhD in Research Methodology

Use numbers and data to drive systematic change in education.

A number is not simply a number in our research methodology program. Here, unlike in math or statistics, numbers are not the final answer. With a PhD in Research Methodology, you can work in educational and institutional research, using numbers to tell the story of the human experience and create meaningful change.

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Upon graduation with a PhD in research methodology from Loyola, you will possess the following knowledge, skills, and professional values necessary to commence a career as an institutional researcher, evaluator, college professor, or researcher at large professional organizations, testing companies, or consulting agencies that provide educational evaluation services.

You will develop expertise in evaluation, statistics, and measurement, and recognize when research findings are being misrepresented or data misused. Our expert faculty will train you in both qualitative and quantitative methodology, including applied statistics and psychometrics. You'll also learn how numbers relate to action, policy, and advocacy.

You will be able to critically evaluate bodies of knowledge from a variety of methodological traditions, use a variety of software programs to implement analyses, and conduct all stages of a research study in applied settings. Plus, you'll participate in a required consulting experience, where you'll conduct a research study and then provide consulting advice to a researcher or organization.

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We strive to ensure that our graduates never lose sight of the humanity that number reflect, and become responsible researchers whose conclusions align with their findings. You will engage in ethical, just, and culturally competent research practices.

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Our dedicated Research Methodology Faculty are experts in their fields who will support students throughout each stage of the program.

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Students typically take up to two or three courses each term and up to two courses during the summer, and completion times for this degree vary with the topic of each student's dissertation. The typical length for this program is five years.

Continuous Enrollment Doctoral students in research methodology are required to maintain continuous enrollment during their program of studies. This means that during each semester of each academic year (excluding Summer Sessions), each student must enroll in at least one course. A formal  leave of absence  may be granted upon request and the approval of the School of Education’s Associate Dean of Student Academic Services.

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Interested in applying? Check out the  PhD Research Methodology application requirements .

  • For  application  related questions,  contact Graduate Enrollment Management . 
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Much will depend upon how many courses a student is able to take during any given term. Since the minimum is 20 courses, one should count on two or three years of coursework, another year for taking and passing comprehensive exams and developing a proposal, and at least one more year for the dissertation research. 

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This degree offers many professional opportunities. Recent graduates work at research firms, testing companies, professional associations or accrediting agencies, nonprofits, and in higher education, including institutional research.

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Ph.D. in Qualitative and Quantitative Research Methodology

Qualitative and quantitative research methodology, (formerly ph.d. in inquiry methodology).

This unique program enables students to focus on quantitative research, qualitative research, or an integrated program of study.

The flexible curriculum enables you to delve deeply into your chosen area of interest, from statistical modeling to ethnography, from discourse and narrative analysis to psychometrics and assessment.

Yet our program is rigorous enough to ensure that all graduates are able to meaningfully contribute to the study of social and behavioral research.

Application Deadlines

Admission requirements.

The Graduate Studies Office will accept unofficial transcripts and self-reported test scores for admission reviews. Any admission made with these documents would be conditioned on receipt of official documents, which should be provided as soon as possible.

If you are currently enrolled or have applied in the past year, you are eligible for a reduced application fee of $35. Learn more »

  • Bachelor’s degree from an accredited institution
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Learn more about how to apply

Program Requirements

  • Ph.D. in Qualitative and Quantitative Research Methodology – (formerly Ph.D. in Inquiry Methodology) Requirements

Costs listed are per credit hour.

2023-2024 Academic Year

2024-2025 academic year.

*Does not include all fees, which will vary depending on the number of credits enrolled. Find more information and calculate your expected costs at Student Central .

  • Learn about the variety of fellowships and assistantships available to graduate students.
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Qualifying Examination

At the completion of course work and before the dissertation, doctoral students specializing in Inquiry Methodology will need to pass a qualifying exam in the form of portfolio of work and an oral examination. This examination is tailored to the student's program of study. All students with a minor in education must also take a minor qualifying examination. Some departments outside of the School of Education waive the minor qualifying examination, under certain conditions.

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As a student you will have the opportunity to focus on methodology through theory and practice that cuts across a divide in qualitative and quantitative methods.

We are dedicated to advancing the understanding of social inquiry, especially with respect to the field of education, and we imagine these possibilities to be necessarily inclusive of methods typically disenfranchised from one another.

This 90-credit hour degree program requires students to spend at least two consecutive semesters on campus. Up to 30 credit hours may be transferred from another institution.

A 12-credit hour minor is also available to doctoral students majoring in other disciplines.

David Rutkowski ED 4234 drutkows@iu.edu (812) 856-8384

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Organizing Your Social Sciences Research Paper

  • 6. The Methodology
  • Purpose of Guide
  • Design Flaws to Avoid
  • Independent and Dependent Variables
  • Glossary of Research Terms
  • Reading Research Effectively
  • Narrowing a Topic Idea
  • Broadening a Topic Idea
  • Extending the Timeliness of a Topic Idea
  • Academic Writing Style
  • Applying Critical Thinking
  • Choosing a Title
  • Making an Outline
  • Paragraph Development
  • Research Process Video Series
  • Executive Summary
  • The C.A.R.S. Model
  • Background Information
  • The Research Problem/Question
  • Theoretical Framework
  • Citation Tracking
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  • Evaluating Sources
  • Primary Sources
  • Secondary Sources
  • Tiertiary Sources
  • Scholarly vs. Popular Publications
  • Qualitative Methods
  • Quantitative Methods
  • Insiderness
  • Using Non-Textual Elements
  • Limitations of the Study
  • Common Grammar Mistakes
  • Writing Concisely
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  • Footnotes or Endnotes?
  • Further Readings
  • Generative AI and Writing
  • USC Libraries Tutorials and Other Guides
  • Bibliography

The methods section describes actions taken to investigate a research problem and the rationale for the application of specific procedures or techniques used to identify, select, process, and analyze information applied to understanding the problem, thereby, allowing the reader to critically evaluate a study’s overall validity and reliability. The methodology section of a research paper answers two main questions: How was the data collected or generated? And, how was it analyzed? The writing should be direct and precise and always written in the past tense.

Kallet, Richard H. "How to Write the Methods Section of a Research Paper." Respiratory Care 49 (October 2004): 1229-1232.

Importance of a Good Methodology Section

You must explain how you obtained and analyzed your results for the following reasons:

  • Readers need to know how the data was obtained because the method you chose affects the results and, by extension, how you interpreted their significance in the discussion section of your paper.
  • Methodology is crucial for any branch of scholarship because an unreliable method produces unreliable results and, as a consequence, undermines the value of your analysis of the findings.
  • In most cases, there are a variety of different methods you can choose to investigate a research problem. The methodology section of your paper should clearly articulate the reasons why you have chosen a particular procedure or technique.
  • The reader wants to know that the data was collected or generated in a way that is consistent with accepted practice in the field of study. For example, if you are using a multiple choice questionnaire, readers need to know that it offered your respondents a reasonable range of answers to choose from.
  • The method must be appropriate to fulfilling the overall aims of the study. For example, you need to ensure that you have a large enough sample size to be able to generalize and make recommendations based upon the findings.
  • The methodology should discuss the problems that were anticipated and the steps you took to prevent them from occurring. For any problems that do arise, you must describe the ways in which they were minimized or why these problems do not impact in any meaningful way your interpretation of the findings.
  • In the social and behavioral sciences, it is important to always provide sufficient information to allow other researchers to adopt or replicate your methodology. This information is particularly important when a new method has been developed or an innovative use of an existing method is utilized.

Bem, Daryl J. Writing the Empirical Journal Article. Psychology Writing Center. University of Washington; Denscombe, Martyn. The Good Research Guide: For Small-Scale Social Research Projects . 5th edition. Buckingham, UK: Open University Press, 2014; Lunenburg, Frederick C. Writing a Successful Thesis or Dissertation: Tips and Strategies for Students in the Social and Behavioral Sciences . Thousand Oaks, CA: Corwin Press, 2008.

Structure and Writing Style

I.  Groups of Research Methods

There are two main groups of research methods in the social sciences:

  • The e mpirical-analytical group approaches the study of social sciences in a similar manner that researchers study the natural sciences . This type of research focuses on objective knowledge, research questions that can be answered yes or no, and operational definitions of variables to be measured. The empirical-analytical group employs deductive reasoning that uses existing theory as a foundation for formulating hypotheses that need to be tested. This approach is focused on explanation.
  • The i nterpretative group of methods is focused on understanding phenomenon in a comprehensive, holistic way . Interpretive methods focus on analytically disclosing the meaning-making practices of human subjects [the why, how, or by what means people do what they do], while showing how those practices arrange so that it can be used to generate observable outcomes. Interpretive methods allow you to recognize your connection to the phenomena under investigation. However, the interpretative group requires careful examination of variables because it focuses more on subjective knowledge.

II.  Content

The introduction to your methodology section should begin by restating the research problem and underlying assumptions underpinning your study. This is followed by situating the methods you used to gather, analyze, and process information within the overall “tradition” of your field of study and within the particular research design you have chosen to study the problem. If the method you choose lies outside of the tradition of your field [i.e., your review of the literature demonstrates that the method is not commonly used], provide a justification for how your choice of methods specifically addresses the research problem in ways that have not been utilized in prior studies.

The remainder of your methodology section should describe the following:

  • Decisions made in selecting the data you have analyzed or, in the case of qualitative research, the subjects and research setting you have examined,
  • Tools and methods used to identify and collect information, and how you identified relevant variables,
  • The ways in which you processed the data and the procedures you used to analyze that data, and
  • The specific research tools or strategies that you utilized to study the underlying hypothesis and research questions.

In addition, an effectively written methodology section should:

  • Introduce the overall methodological approach for investigating your research problem . Is your study qualitative or quantitative or a combination of both (mixed method)? Are you going to take a special approach, such as action research, or a more neutral stance?
  • Indicate how the approach fits the overall research design . Your methods for gathering data should have a clear connection to your research problem. In other words, make sure that your methods will actually address the problem. One of the most common deficiencies found in research papers is that the proposed methodology is not suitable to achieving the stated objective of your paper.
  • Describe the specific methods of data collection you are going to use , such as, surveys, interviews, questionnaires, observation, archival research. If you are analyzing existing data, such as a data set or archival documents, describe how it was originally created or gathered and by whom. Also be sure to explain how older data is still relevant to investigating the current research problem.
  • Explain how you intend to analyze your results . Will you use statistical analysis? Will you use specific theoretical perspectives to help you analyze a text or explain observed behaviors? Describe how you plan to obtain an accurate assessment of relationships, patterns, trends, distributions, and possible contradictions found in the data.
  • Provide background and a rationale for methodologies that are unfamiliar for your readers . Very often in the social sciences, research problems and the methods for investigating them require more explanation/rationale than widely accepted rules governing the natural and physical sciences. Be clear and concise in your explanation.
  • Provide a justification for subject selection and sampling procedure . For instance, if you propose to conduct interviews, how do you intend to select the sample population? If you are analyzing texts, which texts have you chosen, and why? If you are using statistics, why is this set of data being used? If other data sources exist, explain why the data you chose is most appropriate to addressing the research problem.
  • Provide a justification for case study selection . A common method of analyzing research problems in the social sciences is to analyze specific cases. These can be a person, place, event, phenomenon, or other type of subject of analysis that are either examined as a singular topic of in-depth investigation or multiple topics of investigation studied for the purpose of comparing or contrasting findings. In either method, you should explain why a case or cases were chosen and how they specifically relate to the research problem.
  • Describe potential limitations . Are there any practical limitations that could affect your data collection? How will you attempt to control for potential confounding variables and errors? If your methodology may lead to problems you can anticipate, state this openly and show why pursuing this methodology outweighs the risk of these problems cropping up.

NOTE :   Once you have written all of the elements of the methods section, subsequent revisions should focus on how to present those elements as clearly and as logically as possibly. The description of how you prepared to study the research problem, how you gathered the data, and the protocol for analyzing the data should be organized chronologically. For clarity, when a large amount of detail must be presented, information should be presented in sub-sections according to topic. If necessary, consider using appendices for raw data.

ANOTHER NOTE : If you are conducting a qualitative analysis of a research problem , the methodology section generally requires a more elaborate description of the methods used as well as an explanation of the processes applied to gathering and analyzing of data than is generally required for studies using quantitative methods. Because you are the primary instrument for generating the data [e.g., through interviews or observations], the process for collecting that data has a significantly greater impact on producing the findings. Therefore, qualitative research requires a more detailed description of the methods used.

YET ANOTHER NOTE :   If your study involves interviews, observations, or other qualitative techniques involving human subjects , you may be required to obtain approval from the university's Office for the Protection of Research Subjects before beginning your research. This is not a common procedure for most undergraduate level student research assignments. However, i f your professor states you need approval, you must include a statement in your methods section that you received official endorsement and adequate informed consent from the office and that there was a clear assessment and minimization of risks to participants and to the university. This statement informs the reader that your study was conducted in an ethical and responsible manner. In some cases, the approval notice is included as an appendix to your paper.

III.  Problems to Avoid

Irrelevant Detail The methodology section of your paper should be thorough but concise. Do not provide any background information that does not directly help the reader understand why a particular method was chosen, how the data was gathered or obtained, and how the data was analyzed in relation to the research problem [note: analyzed, not interpreted! Save how you interpreted the findings for the discussion section]. With this in mind, the page length of your methods section will generally be less than any other section of your paper except the conclusion.

Unnecessary Explanation of Basic Procedures Remember that you are not writing a how-to guide about a particular method. You should make the assumption that readers possess a basic understanding of how to investigate the research problem on their own and, therefore, you do not have to go into great detail about specific methodological procedures. The focus should be on how you applied a method , not on the mechanics of doing a method. An exception to this rule is if you select an unconventional methodological approach; if this is the case, be sure to explain why this approach was chosen and how it enhances the overall process of discovery.

Problem Blindness It is almost a given that you will encounter problems when collecting or generating your data, or, gaps will exist in existing data or archival materials. Do not ignore these problems or pretend they did not occur. Often, documenting how you overcame obstacles can form an interesting part of the methodology. It demonstrates to the reader that you can provide a cogent rationale for the decisions you made to minimize the impact of any problems that arose.

Literature Review Just as the literature review section of your paper provides an overview of sources you have examined while researching a particular topic, the methodology section should cite any sources that informed your choice and application of a particular method [i.e., the choice of a survey should include any citations to the works you used to help construct the survey].

It’s More than Sources of Information! A description of a research study's method should not be confused with a description of the sources of information. Such a list of sources is useful in and of itself, especially if it is accompanied by an explanation about the selection and use of the sources. The description of the project's methodology complements a list of sources in that it sets forth the organization and interpretation of information emanating from those sources.

Azevedo, L.F. et al. "How to Write a Scientific Paper: Writing the Methods Section." Revista Portuguesa de Pneumologia 17 (2011): 232-238; Blair Lorrie. “Choosing a Methodology.” In Writing a Graduate Thesis or Dissertation , Teaching Writing Series. (Rotterdam: Sense Publishers 2016), pp. 49-72; Butin, Dan W. The Education Dissertation A Guide for Practitioner Scholars . Thousand Oaks, CA: Corwin, 2010; Carter, Susan. Structuring Your Research Thesis . New York: Palgrave Macmillan, 2012; Kallet, Richard H. “How to Write the Methods Section of a Research Paper.” Respiratory Care 49 (October 2004):1229-1232; Lunenburg, Frederick C. Writing a Successful Thesis or Dissertation: Tips and Strategies for Students in the Social and Behavioral Sciences . Thousand Oaks, CA: Corwin Press, 2008. Methods Section. The Writer’s Handbook. Writing Center. University of Wisconsin, Madison; Rudestam, Kjell Erik and Rae R. Newton. “The Method Chapter: Describing Your Research Plan.” In Surviving Your Dissertation: A Comprehensive Guide to Content and Process . (Thousand Oaks, Sage Publications, 2015), pp. 87-115; What is Interpretive Research. Institute of Public and International Affairs, University of Utah; Writing the Experimental Report: Methods, Results, and Discussion. The Writing Lab and The OWL. Purdue University; Methods and Materials. The Structure, Format, Content, and Style of a Journal-Style Scientific Paper. Department of Biology. Bates College.

Writing Tip

Statistical Designs and Tests? Do Not Fear Them!

Don't avoid using a quantitative approach to analyzing your research problem just because you fear the idea of applying statistical designs and tests. A qualitative approach, such as conducting interviews or content analysis of archival texts, can yield exciting new insights about a research problem, but it should not be undertaken simply because you have a disdain for running a simple regression. A well designed quantitative research study can often be accomplished in very clear and direct ways, whereas, a similar study of a qualitative nature usually requires considerable time to analyze large volumes of data and a tremendous burden to create new paths for analysis where previously no path associated with your research problem had existed.

To locate data and statistics, GO HERE .

Another Writing Tip

Knowing the Relationship Between Theories and Methods

There can be multiple meaning associated with the term "theories" and the term "methods" in social sciences research. A helpful way to delineate between them is to understand "theories" as representing different ways of characterizing the social world when you research it and "methods" as representing different ways of generating and analyzing data about that social world. Framed in this way, all empirical social sciences research involves theories and methods, whether they are stated explicitly or not. However, while theories and methods are often related, it is important that, as a researcher, you deliberately separate them in order to avoid your theories playing a disproportionate role in shaping what outcomes your chosen methods produce.

Introspectively engage in an ongoing dialectic between the application of theories and methods to help enable you to use the outcomes from your methods to interrogate and develop new theories, or ways of framing conceptually the research problem. This is how scholarship grows and branches out into new intellectual territory.

Reynolds, R. Larry. Ways of Knowing. Alternative Microeconomics . Part 1, Chapter 3. Boise State University; The Theory-Method Relationship. S-Cool Revision. United Kingdom.

Yet Another Writing Tip

Methods and the Methodology

Do not confuse the terms "methods" and "methodology." As Schneider notes, a method refers to the technical steps taken to do research . Descriptions of methods usually include defining and stating why you have chosen specific techniques to investigate a research problem, followed by an outline of the procedures you used to systematically select, gather, and process the data [remember to always save the interpretation of data for the discussion section of your paper].

The methodology refers to a discussion of the underlying reasoning why particular methods were used . This discussion includes describing the theoretical concepts that inform the choice of methods to be applied, placing the choice of methods within the more general nature of academic work, and reviewing its relevance to examining the research problem. The methodology section also includes a thorough review of the methods other scholars have used to study the topic.

Bryman, Alan. "Of Methods and Methodology." Qualitative Research in Organizations and Management: An International Journal 3 (2008): 159-168; Schneider, Florian. “What's in a Methodology: The Difference between Method, Methodology, and Theory…and How to Get the Balance Right?” PoliticsEastAsia.com. Chinese Department, University of Leiden, Netherlands.

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How to Write Your Dissertation Methodology

What Is a Dissertation Methodology?

How to choose your methodology, final thoughts, how to write your dissertation methodology.

Updated September 30, 2021

Edward Melett

Due to the complexities of the different research methods, writing your dissertation methodology can often be the most challenging and time-consuming part of your postgraduate dissertation .

This article focuses on the importance of writing a good PhD or master's dissertation methodology – and how to achieve this.

A postgraduate dissertation (or thesis) is usually formed of several detailed sections, including:

Abstract – A summary of your research topic.

Introduction – Provides background information on your topic, putting it into context. You will also confirm the main focus of your study, explain why it will add value to your area of interest and specify your key objectives.

Literature Review – A critical review of literature that relates to your chosen research topic. You will also need to identify which gap in the literature your study aims to address.

Methodology – Focuses on the research methods used within your research.

Results – Used to report on your main findings and how these relate to your research question.

Conclusion – Used to confirm the answer to your main research question, reflect on the research process and offer recommendations on future research.

The dissertation methodology forms the skeleton of any research project. It provides the reader with a clear outline of the methods you decided to use when carrying out your research.

By studying your dissertation methodology, the reader will be able to assess your research in terms of its validity and reliability.

In line with the outline given above, the methodology chapter usually appears after the literature review . Your methodology should be closely linked to the research that you conducted as part of this review, as well as the questions you aim to answer through your research and analysis.

Taking the time to find out about the different types of research available to you will allow you to identify any potential drawbacks to the method you have chosen to use. You should then be able to make allowances or adjustments to address these when it comes to carrying out your research.

methodology for phd

Choosing your methodology will largely depend on the discipline of the qualification you are studying for and the question your dissertation will seek to answer. In most cases, you will use quantitative or qualitative research methods, although some projects will benefit from using a combination of both.

Quantitative research methods are used to gather numerical information. This research method is particularly useful if you are seeking to count, categorise, measure or identify patterns in data. To collect quantitative data, you might choose to conduct experiments, tests or surveys.

Qualitative research methods are used to gather non-statistical data. Instead of using numbers to create charts or graphs, you will need to categorise the information according to identifiers. This research method is most useful if you are seeking to develop a hypothesis. To collect qualitative data, you might choose to conduct focus groups, interviews or observations.

What to Include in Your Dissertation Methodology

Below is a dissertation methodology example to show you what information to include:

You will need to reiterate your research topic or question and give an overview of how you plan to investigate this. If there were any ethical or philosophical considerations to be made, give details.

For example, you may have sought informed consent from the people taking part in interviews or surveys.

Outline of the Methods Chosen

Confirm whether you have chosen to use quantitative research, qualitative research or a combination of both.

When choosing between qualitative and quantitative research methods, you will need to carry out initial literature and textbook research to establish the standard research methods that are normally used within your chosen area of research.

If you are not sure where to start, you could visit the library at your college or university and ask one of the librarians to help you to identify the most relevant texts.

Explanation of the Methods Chosen

Explain your rationale for selecting your chosen research methods. You should also give an overview of why these were more appropriate than using another research method.

Think about where and when the research took place and who was involved. For example, this might include information on the venue used for interviews or focus groups, dates and timescales, and whether participants were part of a particular demographic group.

Here are some examples of the type of information you may wish to include:

Qualitative Research Methods

Personal observations – Where and when did you conduct the observations? Who did you observe? Were they part of a particular community or group? How long did each observation take? How did you record your findings – did you collect audio recordings, video footage or written observations?

Focus groups – Where and when did the focus group take place? Who was involved? How were they selected? How many people took part? Were the questions asked structured, unstructured or semi-structured? Remember to include a copy of the questions that were used as an appendix.

Interviews – Where and when did the interviews take place? Who took part? How did you select the participants? What type of questions did you ask? How did you record your findings? Remember to include a copy of the questions that were used as an appendix.

The researcher’s objective was to find out customer perceptions on improving the product range currently offered by Company Y. Semi-structured interviews were held with 15 returning customers from the key target demographic for Company Y (18- to 35-year-olds). For research purposes, a returning customer was defined as somebody who purchased products from Company Y at least two times per week during the past three months. The interviews were held in an office in the staff area of the retail premises. Each interview lasted approximately 25 minutes. Responses were recorded through note-taking as none of the respondents wished to give their consent to be filmed.

Quantitative Research Methods

Existing information or data – What were the sources of the material used? How did you select material? Did you only use data published within a particular time frame?

Experiments – What tools or equipment did you use? What techniques were required? Note that when conducting experiments, it is particularly important to provide enough information to allow another researcher to conduct the experiment and obtain the same results.

Surveys – Were respondents asked to answer multiple-choice questions or complete free-text fields? How many questions were used? How long were people given to answer all of the questions? What were the demographics of the participants? Remember to include a copy of the survey in the appendices.

The survey was made up of 10 multiple-choice questions and 5 questions to be rated using a 5-point Lickert scale. The objective was to have 250 customers of Company Z complete the survey at the Company Z HQ between 1st and 5th February 2019, between the hours of 12 p.m. and 5 p.m. For research purposes, a customer was defined as any person who had purchased a product from Company Z during 2018. Customers completing the survey were allowed a maximum of 10 minutes to answer all of the questions. 200 customers responded, however not all of the surveys were completed in full, so only 150 survey results were able to be used in the data analysis.

How Was the Data Analysed?

If you have chosen to use quantitative research methods, you will need to prepare the data before analysing it – for example, you will need to check for variables, missing data and outliers. If you have used computer software to aid with analysis, information on this should also be included.

For qualitative data, you will need to categorise and code the ideas and themes that are identified from the raw data. You may also need to use techniques such as narrative analysis or discourse analysis to interpret the meaning behind responses given.

What Materials and Equipment Were Used During the Research?

This could include anything from laboratory equipment used in a scientific experiment to computer software used to analyse the results.

Were There Any Hurdles or Difficulties Faced During the Research?

If so, what were they and how did you manage to overcome them? This could be anything from difficulties in finding participants, problems obtaining consent or a shortage of the required resources needed to conduct a scientific experiment.

This paragraph should be used to evaluate the research you have conducted and justify your reasons for choosing this approach.

You do not need to go into great detail, as you will present and discuss your results in-depth within your dissertation’s ‘Results’ section.

You will need to briefly explain whether your results were conclusive, whether there were any variables and whether your choice of methodology was effective in practice.

methodology for phd

Tips for Writing Your Dissertation Methodology

The objective for the methodology is not only to describe the methods that you used for your research. You will also need to demonstrate why you chose to use them and how you applied them.

The key point is to show that your research was conducted meticulously.

Try to keep your writing style concise and clear; this will ensure that it is easy for the reader to understand and digest.

Here are five top tips to consider when writing your dissertation methodology:

1. Look at Other Methodology Sections

Ask your supervisor to provide you with a few different examples of previously written dissertations. Reading through methodologies that have been written by past students will give you a good idea of what your finished methodology section should look like.

2. Plan Your Structure

Whichever research methods you have chosen to use, your dissertation methodology should be a clearly structured, well written section that gives a strong and justified argument for your chosen research methods.

You may wish to use headings such as:

  • Research methods
  • Explanation of research methods chosen
  • Data analysis and references

Once you have drafted an outline, ask your supervisor for advice on whether there is anything you have missed and whether your structure looks logical.

3. Consider Your Audience

When writing your methodology, have regard for the people who are likely to be reading it. For example, if you have chosen to use research methods that are commonly chosen within your area of research or discipline, there is no need to give a great deal of justification or background information.

If you decide to use a less popular approach, it is advisable to give much more detailed information on how and why you chose to use this method.

4. Remain Focused on Your Aims and Research Questions

Your dissertation methodology should give a clear indication as to why the research methods you have chosen are suitable for the aims of your research.

When writing your dissertation methodology, ensure that you link your research choices back to the overall aims and objectives of your dissertation. To help you to remain focused, it can be helpful to include a clear definition of the question you are aiming to answer at the start of your methodology section.

5. Refer to Any Obstacles or Difficulties That You Dealt With

If you faced any problems during the data collection or analysis phases, use the methodology section to talk about what you did to address these issues and minimise the impact.

Whether you are completing a PhD or master's degree, writing your thesis or dissertation methodology is often considered to be the most difficult and time-consuming part of completing your major research project.

The key to success when writing a methodology section is to have a clear structure. Remember, the purpose of the methodology section of your research project is to ensure that the reader has a full understanding of the methods you have chosen.

You should use your methodology section to provide clear justification as to why you have chosen a particular research method instead of other potential methods. Avoid referring to your personal opinions, thoughts or interests within your methodology; keep the information that you include factual and ensure that everything is backed up by appropriate academic references.

You might also be interested in these other Wikijob articles:

Postgraduate/Master’s Personal Statements

Or explore the Postgraduate / PHD sections.

10 powerful methodology courses for PhD students [online]

Photo of Master Academia

Good knowledge of research methodology is a precondition for a successful PhD thesis. However, not all PhD students have access to methodology courses as part of their PhD programme. Fortunately, there are good options online, such as the following 10 powerful methodology online courses for PhD students provided via Coursera.

Disclosure: This post contains affiliate links, which means I may earn a small commission if you make a purchase using the links below at  no additional cost to you.

Free online research methodology courses for PhD students

Online certificate courses in research methodology for phd students, short online courses in research methodology, extensive online courses in research methodology for phd students.

Coursera is a US-based platform that provides massive open online courses. To provide these courses, Coursera works together with universities and other specialised organizations such as Google or IBM.

Almost all online courses on Coursera, including methodology courses, can be accessed for free. This provides PhD students with plenty of opportunities to improve their methodological skills.

The only caveat of accessing methodology courses for free is the lack of a certificate upon course completion. Furthermore, in some courses, you cannot participate in the assignments and peer review of projects if you decide to go for the free option.

However, if you are just looking for a short refresher or some in-depth information on a specific method or research approach, simply accessing a course for free is a wonderful way to gain and deepen your knowledge.

Here are two examples:

Understanding Research Methods (University of London)

methodology for phd

A powerful online methodology course that lends itself to the option of free access is Understanding Research Methods. The course is targeted at students conducting research as part of postgraduate studies and provides a great overview of the fundamentals of conducting research and different research methods. The syllabus includes information on research questions, literature reviews, research planning and research evaluation. If you choose the certificate option, instead of accessing the course for free, you can even create your own research proposal and receive individual feedback!

Enroll in the course >>

Basic Statistics (University of Amsterdam)

methodology for phd

Coursera also provides powerful introductory courses on specific methods of analysis. Basic Statistics is one of them. Despite its focus on people working in the social and behavioural sciences, this course offers a great introduction to statistics to all PhD students who start from scratch when it comes to statistics, or those who learned some basic statistics a long time ago. The course teaches you how to explore data, understand correlation and regression, probability, probability and sampling distributions, and much more!

Learning new skills should be the most important part of following online courses in research methodology. However, it can also be useful to collect evidence of your knowledge and skills in the form of certificates.

Certificates look good on your CV and may come in handy in future job applications (within and outside of academia). In general, all Coursera issues certificates for the successful completion of all its course for a relatively low fee, including the ones presented above.

However, for PhD students who look for certificates in research methodology, it can be smart to follow online research methodology courses that are more extensive or go further in-depth compared to introductory courses.

Here are three good examples:

Research Design: Inquiry and Discovery (University of North Texas)

methodology for phd

One powerful course that goes in-depth when it comes to research methodologies is Research Design: Inquiry and Discovery , which is definitely worth a certificate! It is a great course for PhD researchers who want to dive deeper into the creation of good research questions, how to connect research questions to suitable research approaches, as well as to methods of data collection and analysis. Additionally, it discusses important topics such as research ethics, which will really make you reflect on your own PhD research design.

Research Data Management and Sharing (The University of North Carolina at Chapel Hill & The University of Edinburgh)

methodology for phd

Another methodology course that is definitely worth a certificate is Research Data Management and Sharing . Many universities place a growing emphasis on data management as part of a research methodology. And often, a well-developed data management plan is a precondition for receiving ethics approval for a PhD research project. The online course teaches valuable knowledge on things to consider and actionable steps to develop your own research data management and sharing plan, including the curation, preservation, access and reuse of data!

Data Science Graduate Certificate (University of Colorado Boulder)

methodology for phd

PhD students who work a lot with quantitative data can benefit from enrolling in Coursera’s Data Science Graduate Certificate, provided by the University of Colorado Boulder. In contrast to the other methodology courses, this one is a complete programme consisting of 14 courses! The programme teaches you how to extract knowledge and insight from large datasets, and incorporates knowledge of statistical analysis, data mining, and machine learning. And while it is taught 100% taught online, you can receive not only a certificate but 12 credits! So if these skills are useful for your PhD, it can be worth exploring whether the programme can be part of fulfilling the educational requirements of your PhD degree.

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Improving your knowledge of research methodology does not have to take months on end. There are many short methodology courses provided on Coursera , which provide PhD students with an efficient way to learn or refresh their knowledge of specific research methods.

Here are two good examples:

Quantitative Research Methods (University of Amsterdam)

methodology for phd

This course on quantitative research methods takes approximately 30 hours, which means you can tackle it in less than a week. It provides a good overview of quantitative research methods and covers the fundamental principles of science, some history and philosophy of science, research designs, measurement, sampling and ethics. Quantitative Research Methods is an introductory course and does not specifically target the PhD level. However, it is a quick way for PhD students to explore different options of quantitative methods before diving deeper into the ones they ultimately select for their research.

Qualitative Comparative Analysis (Erasmus University Rotterdam)

methodology for phd

A lot of PhD students using qualitative methods are interested in comparative analyses. If this is the case, the course Qualitative Comparative Analysis is right for you! In approximately 27 hours, the course discusses everything from the analytical foundations of qualitative comparative analysis, to research design and calibration, to systematic comparisons and the interpretation of results. All in all, PhD researchers can learn how to conduct a comparative analysis in a scientifically sound manner.

PhD students who look for more extensive online courses in research methodology are advised to follow a so-called Coursera ‘specialisation’. Specialisations often consists of several related courses and always involve a capstone project, which is individual work in the form of, for instance, a case study analysis or research paper.

When you finish and pay for a specialisation, you get course certificates for each individual course that it part of the specialisation as well as an extra certificate for the specialisation as a whole.

Here are three examples of powerful specialisations focusing on methodology:

Methods and Statistics in Social Sciences Specialization (University of Amsterdam)

methodology for phd

The Methods and Statistics in Social Sciences Specialisation includes some of the individual courses already mentioned above. It consists of five different courses, which cover quantitative methods, qualitative research methods, basic statistics, inferential statistics, and a final research project on methods and statistics in social sciences. Not only provides this course provides a great foundation of research methods and methodologies but teaches you in a practical way how to formulate a research hypothesis and design, come up with operationalizations, create manipulation and measurement instruments, collect data, perform statistical analyses and document the results.

Survey Data Collection and Analytics Specialization (University of Maryland and University of Michigan)

methodology for phd

PhD students who are interested in surveys as part of their research can benefit from following the Survey Data Collection and Analytics Specialisation . This specialisation consists of 7 different courses, that provide in-depth knowledge on surveys in different fields, including market research, social sciences, government statistics and other domains. Students who follow the course will learn everything from designing questionnaires to sampling, dealing with missing values to analysing survey data. At the end of the specialisation, a Capstone Project is used to apply the skills taught during the courses. After the completion of the course, PhD students can tackle their own survey from beginning to end.

Econometrics for Economists and Finance Practitioners Specialization (Queen Mary University of London)

methodology for phd

Finally, the Econometrics for Economists and Finance Practitioners Specialisation is a great intensive online programme that can benefit PhD students doing quantitative research. Yes, the course focuses on practitioners but hear me out: PhD students (and everyone else for that matter) can highly benefit from information even if it is not directly targeted at them. This specialisation, for instance, provides rigorous training in econometric methods and uses a ton of real-data examples. Learning how to test hypotheses on the relationship between variables is a crucial skill for many PhD students. Even those who are not directly involved in economics and finance theories.

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National Center for Science and Engineering Statistics

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The NSCG is a biennial survey that provides data on the characteristics of the nation's college graduates, with a focus on those in the science and engineering workforce.

Survey Info

  • tag for use when URL is provided --> Methodology
  • tag for use when URL is provided --> Data
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The NSCG is a unique source for examining the relationship of degree field and occupation in addition to other characteristics of college-educated individuals, including work activities, salary, and demographic information.

Areas of Interest

  • Science and Engineering Workforce
  • STEM Education

Survey Administration

This survey was conducted by the Census Bureau in partnership with the National Center for Science and Engineering Statistics within the National Science Foundation.

Survey Details

  • Survey Description (PDF 123 KB)
  • Data Tables (PDF 2.1 MB)

Featured Survey Analysis

Effects of the COVID-19 Pandemic on Employment, Earnings, and Professional Engagement: New Insights from the 2021 National Survey of College Graduates.

Effects of the COVID-19 Pandemic on Employment, Earnings, and Professional Engagement: New Insights from the 2021 National Survey of College Graduates

Image 1776

NSCG Overview

Data highlights, the share of u.s. college graduates employed full time trended downward between 2015 and 2021..

Figure 1

Unemployment increased across all levels of education between 2019 and 2021.

Figure 1

Methodology

Survey description, survey overview (2021 survey cycle).

The National Survey of College Graduates (NSCG)—sponsored by the National Center for Science and Engineering Statistics (NCSES) within the National Science Foundation (NSF)—provides data on the characteristics of the nation’s college graduates, with a focus on those in the science and engineering workforce. It samples individuals who are living in the United States during the survey reference week, have at least a bachelor’s degree, and are younger than 76. By surveying college graduates in all academic disciplines, the NSCG provides data useful in understanding the relationship between college education and career opportunities, as well as the relationship between degree field and occupation.

Data collection authority

The information collected in the NSCG is solicited under the authority of the NSF Act of 1950, as amended, and the America COMPETES Reauthorization Act of 2010. The Census Bureau collects the NSCG data under the authority of Title 13, Section 8 of the United States Code. The Office of Management and Budget control number is 3145-0141.

Major changes to recent survey cycle

The 2021 NSCG data collection instrument included new questions to gauge the effects of the coronavirus pandemic on employment, specifically on labor force status, number of hours worked per week, salary, benefits, telecommuting options, and total earned income.

Key Survey Information

Initial survey year, reference period.

The week of 1 February 2021.

Response unit

Individuals with at least a bachelor’s degree.

Sample or census

Population size.

Approximately 68.6 million individuals.

Sample size

Approximately 164,000 individuals.

Key variables

Key variables of interest are listed below.

  • Demographics (e.g., age, race, sex, ethnicity, and citizenship)
  • Educational history
  • Employment status
  • Field of degree

Survey Design

Target population.

The NSCG target population includes individuals who meet the following criteria:

  • Earned a bachelor’s degree or higher prior to 1 January 2020,
  • Are not institutionalized and reside in the United States or Puerto Rico as of 1 February 2021, and
  • Are younger than 76 years as of 1 February 2021.

Sampling frame

The 2021 NSCG retains the four-panel rotating panel design that began with the 2010 NSCG. As part of this design, every new panel receives a baseline survey interview and three biennial follow-up interviews before rotating out of the survey.

The 2021 NSCG includes approximately 164,000 sample cases drawn from the following:

  • Returning sample from the 2019 NSCG who were originally selected from the 2013 American Community Survey (ACS)
  • Returning sample from the 2019 NSCG who were originally selected from the 2015 ACS
  • Returning sample from the 2019 NSCG who were originally selected from the 2017 ACS
  • New sample selected from the 2019 ACS

Approximately 90,000 cases were selected from the returning sample members for one of the three biennial follow-up interviews that are part of the rotating panel design. For the baseline survey interview, about 74,000 new sample cases were selected from the 2019 ACS.

Sample design

The NSCG uses a stratified sampling design to select its sample from the eligible sampling frame. Within the sampling strata, the NSCG uses probability proportional to size or systematic random sampling techniques to select the NSCG sample. The sampling strata were defined by the cross-classification of the following four variables:

  • Young graduate oversample group eligibility indicator (2 levels)
  • Demographic group (9 levels)
  • Highest degree type (3 levels)
  • Detailed occupation group (25 levels)

As has been the case since the 2013 NSCG, the 2021 NSCG includes an oversample of young graduates to improve the precision of estimates for this important population.

Data Collection and Processing

Data collection.

The NSCG uses a trimodal data collection approach: Web survey, mail survey, and computer-assisted telephone interview (CATI). The 2021 NSCG data collection effort lasted approximately 7 months.

Data processing

The data collected in the NSCG are subject to both editing and imputation procedures. The NSCG uses both logical imputation and statistical (hot deck) imputation as part of the data processing effort.

Estimation techniques

Because the NSCG is based on a complex sampling design and subject to nonresponse bias, sampling weights were created for each respondent to support unbiased population estimates. The final analysis weights account for several factors, including the following:

  • Adjustments to account for undercoverage of recent immigrants and undercoverage of recent degree-earners
  • Adjustment for incorrect names or incomplete address information on the sampling frame
  • Differential sampling rates
  • Adjustments to account for non-locatability and unit nonresponse
  • Adjustments to align the sample distribution with population controls
  • Trimming of extreme weights
  • Overlap procedures to convert weights that reflect the population of each individual frame (2013 ACS, 2015 ACS, 2017 ACS, and 2019 ACS) into a final sample weight that reflects the 2021 NSCG target population.

The final sample weights enable data users to derive survey-based estimates of the NSCG target population.

Survey Quality Measures

Sampling error.

Estimates of sampling errors associated with this survey were calculated using the successive difference replication method. Please contact the NSCG Survey Manager to obtain the replicate weights.

Coverage error

Any missed housing units or missed individuals within sample households in the ACS would create undercoverage in the NSCG. Additional undercoverage errors may exist because of self-reporting errors in the NSCG sampling frame that led to incorrect classification of individuals as not having a bachelor’s degree or higher when in fact they held such a degree.

Nonresponse error

The weighted response rate for the 2021 NSCG was 65%. Analyses of NSCG nonresponse trends were used to develop nonresponse weighting adjustments to minimize the potential for nonresponse bias in the NSCG estimates. A hot deck imputation method was used to compensate for item nonresponse.

Measurement error

The NSCG is subject to reporting errors from differences in interpretation of questions and by modality (Web, mail, or CATI). To reduce measurement errors, the NSCG questionnaire items were pretested in focus groups and cognitive interviews.

Data Availability and Comparability

Data availability.

Data from 1993 to the present are available at the NSCG Web page .

Data comparability

Year-to-year comparisons can be made among the 1993 to 2021 NSCG survey cycles because many of the core questions remained the same. Small but notable differences exist across some survey years, such as the collection of occupation and education data based on more recent taxonomies. Also, because of the use of different reference months in some survey cycles, seasonal differences may occur when making comparisons across years.

There is overlap in the cases included in the 2010 NSCG through the 2017 NSCG, in the 2013 NSCG through the 2019 NSCG, and in the 2015 NSCG through the 2021 NSCG. This sample overlap consists of cases that originated in the 2013 ACS, 2015 ACS, 2017 ACS, or 2019 ACS. The overlap among cases allows for the ability to conduct longitudinal analysis of this subset of the NSCG sample. To reduce the risk of disclosure, longitudinal analyses can be conducted only within a restricted environment. See the NCSES Restricted-Use Data Licensing and Procedures page to learn more.

Data Products

Publications.

Data from the NSCG are published in NCSES InfoBriefs and data tables, available at https://www.nsf.gov/statistics/srvygrads/ .

Information from this survey is also included in Science and Engineering Indicators and Women, Minorities, and Persons with Disabilities in Science and Engineering .

Electronic access

The NSCG public use data through 2021 are available in the SESTAT data tool and in downloadable files through the NCSES data page . Data from 1993 to 2019 (2021 forthcoming) are also available in the new NCSES interactive data tool . The NSCG restricted use data are available through the Census Bureau’s Federal Statistical Research Data Centers .

Technical Notes

Survey overview.

Purpose. The National Survey of College Graduates (NSCG) provides data on the characteristics of the nation’s college graduates, with a focus on those in the science and engineering (S&E) workforce. It samples individuals who are living in the United States during the survey reference week, have earned at least a bachelor’s degree, and are younger than 76. By surveying college graduates in all academic disciplines, the NSCG provides data useful in understanding the relationship between college education and career opportunities, as well as the relationship between degree field and occupation.

The NSCG is designed to provide demographic, education, and career history information about college graduates and to complement another survey conducted by the National Center for Science and Engineering Statistics (NCSES): the Survey of Doctorate Recipients (SDR, https://www.nsf.gov/statistics/srvydoctoratework/ ). These two surveys share a common reference date, and they use similar questionnaires and data processing guidelines.

These technical notes provide an overview of the 2021 NSCG. Complete details are provided in the 2021 NSCG Methodology Report, available upon request from the NSCG Survey Manager.

Data collection authority. The information collected in the NSCG is solicited under the authority of the National Science Foundation Act of 1950, as amended, and the America COMPETES Reauthorization Act of 2010. The Census Bureau collects the NSCG data, on behalf of NCSES, under the authority of Title 13, Section 8 of the United States Code. The Office of Management and Budget control number is 3145-0141.

Survey contractor. Census Bureau.

Survey sponsor. NCSES.

Frequency. Biennial.

Initial survey year. 1993.

Reference period. The week of 1 February 2021.

Response unit. Individual.

Sample or census. Sample.

Population size. Approximately 68.6 million individuals.

Sample size. Approximately 164,000 individuals.

Target population. The NSCG target population includes individuals who meet the following criteria:

  • Earned a bachelor’s degree ​ Bachelor’s degrees include equivalent undergraduate academic degrees awarded by colleges and universities in countries that may name their degrees differently. Bachelor’s degrees include equivalent undergraduate academic degrees awarded by colleges and universities in countries that may name their degrees differently. Bachelor’s degrees include equivalent undergraduate academic degrees awarded by colleges and universities in countries that may name their degrees differently. or higher prior to 1 January 2020
  • Are not institutionalized and reside in the United States or Puerto Rico as of 1 February 2021
  • Are younger than 76 years as of 1 February 2021

Sampling frame . Using a rotating panel design, the 2021 NSCG includes new sample cases from the 2019 American Community Survey (ACS) and returning sample cases from the 2019 NSCG.

The NSCG sampling frame for new sample cases included the following eligibility requirements:

  • Were residing in the United States or Puerto Rico as of the ACS interview date
  • Were noninstitutionalized as of the ACS interview date
  • Had earned at least a bachelor’s degree as of the ACS interview date
  • Would be under the age of 76 as of 1 February 2021
  • Did not have an inaccurate name or incomplete address on the ACS data file

Returning sample cases from the 2019 NSCG originated from three different frames (the 2013 ACS, 2015 ACS, and 2017 ACS) and had the following eligibility requirements:

  • Were a complete interview or temporarily ineligible during their initial NSCG survey cycle
  • During the 2019 NSCG survey cycle, did not refuse to participate and request to be excluded from future NSCG cycles

Sample design . The NSCG sample design is cross-sectional with a rotating panel element. As a cross-sectional study, the NSCG provides estimates of the size and characteristics of the college graduate population for a point in time. As part of the rotating panel design, every new panel receives a baseline survey interview and three biennial follow-up interviews before rotating out of the survey.

The NSCG uses a stratified sampling design to select its sample from the eligible sampling frame. In the new sample, cases were selected using systematic probability proportional to size (PPS) sampling. ​ With PPS sampling, the probability of selection was proportional to the ACS final person-level weight, adjusted to account for imputed educational attainment, incomplete addresses, or invalid names. With PPS sampling, the probability of selection was proportional to the ACS final person-level weight, adjusted to account for imputed educational attainment, incomplete addresses, or invalid names. With PPS sampling, the probability of selection was proportional to the ACS final person-level weight, adjusted to account for imputed educational attainment, incomplete addresses, or invalid names. Among the returning sample, all eligible cases were selected. The sampling strata were defined by the cross-classification of the following four variables:

As has been the case since the 2013 NSCG, the 2021 NSCG includes an oversample of young graduates to improve the precision of estimates for this important population. The 2021 NSCG includes approximately 164,000 sample cases drawn from the following:

  • Returning sample from the 2019 NSCG who were originally selected from the 2013 ACS

Data Collection and Processing Methods

Data collection . The data collection period lasted approximately 7 months (8 April 2021 to 1 November 2021). The NSCG used a trimodal data collection approach: self-administered online survey (Web), self-administered paper questionnaire (via mail), and computer-assisted telephone interview (CATI). Individuals in the sample generally were started in the Web mode, depending on their available contact information and past preference. After an initial survey invitation, the data collection protocol included sequential contacts by postal mail, e-mail, and telephone that ran throughout the data collection period. At any time during data collection, sample members could choose to complete the survey using any of the three modes. Nonrespondents to the initial survey invitation received follow-up contacts via alternate modes.

Quality assurance procedures were in place at each data collection step (e.g., address updating, printing, package assembly and mailing, questionnaire receipt, data entry, CATI, coding, and post-data collection processing).

Mode . About 89% of the participants completed the survey by Web, 7% by mail, and 4% by CATI.

Response r ates . Response rates were calculated on complete responses, that is, from instruments with responses to all critical items. Critical items are those containing information needed to report labor force participation (including employment status, job title, and job description), college education (including degree type, degree date, and field of study), and location of residency on the reference date. The overall unweighted response rate was 67%; the weighted response rate was 65%. Of the roughly 164,000 persons in the 2021 NSCG sample, 106,279 completed the survey.

Data e diting. Response data had initial editing rules applied relative to the specific mode of capture to check internal consistency and valid range of response. The Web survey captured most of the survey responses and had internal editing controls where appropriate. A computer-assisted data entry (CADE) system was used to process the mailed paper forms. Responses from the three separate modes were merged for subsequent coding, editing, and cleaning necessary to create an analytical database.

Following established NCSES guidelines for coding NSCG survey data, including verbatim responses, staff were trained in conducting a standardized review and coding of occupation and education information, certifications, “other/specify” verbatim responses, state and country geographical information, and postsecondary institution information. For standardized coding of occupation (including auto-coding), the respondent's reported job title, duties and responsibilities, and other work-related information from the questionnaire were reviewed by specially trained coders who corrected respondents’ self-reporting errors to obtain the best occupation codes. For standardized coding of field of study associated with any reported degree (including auto-coding), the respondent’s reported department, degree level, and field of study information from the questionnaire were reviewed by specially trained coders who corrected respondents’ self-reporting errors to obtain the best field of study codes.

Imputation. Logical imputation was primarily accomplished as part of editing. In the editing phase, the answer to a question with missing data was sometimes determined by the answer to another question. In some circumstances, editing procedures found inconsistent data that were blanked out and therefore subject to statistical imputation.

The item nonresponse rates reflect data missing after logical imputation or editing but before statistical imputation. For key employment items—such as employment status, sector of employment, and primary work activity—the item nonresponse rates ranged from 0.0% to 1.1%. Nonresponse to questions deemed sensitive was higher: nonresponse to salary and earned income was 5.4% and 7.8%, respectively, for the new sample members and 4.7% and 6.8%, respectively, for the returning members. Personal demographic data of the new sample members had variable item nonresponse rates, with sex at 0.00%, birth year at 0.04%, marital status at 0.6%, citizenship at 0.4%, ethnicity at 1.4%, and race at 3.1%. The nonresponse rates for returning sample members were 0.8% for marital status and 0.7% for citizenship.

Item nonresponse was typically addressed using statistical imputation methods. Most NSCG variables were subjected to hot-deck imputation, with each variable having its own class and sort variables chosen by regression modeling to identify nearest neighbors for imputed information. For some variables, there was no set of class and sort variables that was reliably related to or suitable for predicting the missing value, such as day of birth. In these instances, random imputation was used, so that the distribution of imputed values was similar to the distribution of reported values without using class or sort variables.

Imputation was not performed on critical items or on verbatim-based variables. In addition, for some missing demographic information, the NSCG imported the corresponding data from the ACS, which had performed its own imputation.

Weighting. Because the NSCG is based on a complex sampling design and subject to nonresponse bias, sampling weights were created for each respondent to support unbiased population estimates. The final analysis weights account for several factors, including the following:

  • Overlap procedures to convert weights that reflect the population of each individual frame (2013 ACS, 2015 ACS, 2017 ACS, and 2019 ACS) into a final sample weight that reflects the 2021 NSCG target population

The final sample weights enable data users to derive survey-based estimates of the NSCG target population. The variable name on the NSCG public use data files for the NSCG final sample weight is WTSURVY.

Variance estimation. The successive difference replication method (SDRM) was used to develop replicate weights for variance estimation. The theoretical basis for the SDRM is described in Wolter (1984) and in Fay and Train (1995). As with any replication method, successive difference replication involves constructing numerous subsamples (replicates) from the full sample and computing the statistic of interest for each replicate. The mean square error of the replicate estimates around their corresponding full sample estimate provides an estimate of the sampling variance of the statistic of interest. The 2021 NSCG produced 320 sets of replicate weights.

Disclosure protection. To protect against the disclosure of confidential information provided by NSCG respondents, the estimates presented in NSCG data tables are rounded to the nearest 1,000.

Data table cell values based on counts of respondents that fall below a predetermined threshold are deemed to be sensitive to potential disclosure, and the letter “D” indicates this type of suppression in a table cell.

Sampling error. NSCG estimates are subject to sampling errors. Estimates of sampling errors associated with this survey were calculated using replicate weights. Data table estimates with coefficients of variation (that is, the estimate divided by the standard error) that exceed a predetermined threshold are deemed unreliable and are suppressed. The letter “S” indicates this type of suppression in a table cell.

Coverage error. Coverage error occurs in sample estimates when the sampling frame does not accurately represent the target population and is a type of nonsampling error. Any missed housing units or missed individuals within sample households in the ACS would create undercoverage in the NSCG. Additional undercoverage errors may exist because of self-reporting errors in the NSCG sampling frame that led to incorrect classification of individuals as not having a bachelor's degree or higher when in fact they held such a degree.

Nonresponse error. The weighted response rate for the 2021 NSCG was 65%; the unweighted response rate was 67%. Analyses of NSCG nonresponse trends were used to develop nonresponse weighting adjustments to minimize the potential for nonresponse bias in the NSCG estimates. A hot deck imputation method was used to compensate for item nonresponse.

Measurement error. The NSCG is subject to reporting errors from differences in interpretation of questions and by modality (Web, mail, CATI). To reduce measurement errors, the NSCG questionnaire items were pretested in focus groups and cognitive interviews.

Data Comparability and Changes

Data comparability. Year-to-year comparisons of the nation’s college-educated population can be made among the 1993, 2003, 2010, 2013, 2015, 2017, 2019, and 2021 survey cycles because many of the core questions remained the same. Since the 1995, 1997, 1999, 2006, and 2008 surveys do not provide full coverage of the nation’s college-educated population, any comparison between these cycles and other cycles should be limited to those individuals educated or employed in S&E fields.

Small but notable differences exist across some survey cycles, however, such as the collection of occupation and education data based on more recent taxonomies. Also, because of the use of different reference months in some survey cycles, seasonal differences may occur when making comparisons across years. Thus, use caution when interpreting cross-cycle comparisons.

There is overlap in the cases included in the 2010 NSCG through the 2017 NSCG, in the 2013 NSCG through the 2019 NSCG, and in the 2015 NSCG through the 2021 NSCG (see figure 1 ). The overlap among cases allows for longitudinal analysis of a subset of the NSCG sample using restricted use data files within NCSES’ Secure Data Access Facility (SDAF). Cases can be linked across survey years using a unique identification variable and single-frame weights are available for each survey year, allowing for the evaluation of estimates from each frame independently. If you are interested in applying for a license to access restricted use NSCG data via the SDAF, please visit NCSES Restricted-Use Data Procedures Guide . Moreover, the Census Bureau offers NSCG restricted use data files that include a few additional data elements. These files can be accessed via the Federal Statistical Research Data Centers .

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Rotating panel design and sample sizes for the National Survey of College Graduates: 2010–21

ACS = American Community Survey; NSCG = National Survey of College Graduates; NSRCG = National Survey of Recent College Graduates.

During a panel’s second survey cycle (in which it is part of the returning sample for the first time), its members include individuals who responded or who were temporarily ineligible during the first cycle. During a panel’s third and fourth cycles, its members include all respondents, nonrespondents, and temporarily ineligible cases from the preceding cycle. Beginning in 2013, the NSCG transitioned to a design that includes an oversample of young graduates to improve the precision of estimates for this important population.

National Center for Science and Engineering Statistics, National Science Foundation, National Survey of College Graduates.

Changes in survey coverage and population . None.

Changes in q uestio n naire

  • 2021. To gauge the effects of the coronavirus pandemic on employment, the content of the NSCG questionnaire was modified for 2021 in two ways:
  • The response options of long-standing items were revised to identify pandemic-related consequences: for example, reasons for not working, reasons for working part time, reasons for changing employment, and available job benefits.
  • New items were added to understand the effects of the pandemic on salaries and earnings and to measure the prevalence of telework.
  • 2019. The content of the 2019 NSCG questionnaire remained unchanged from the 2017 NSCG version.
  • 2017. The 2017 NSCG questionnaire added two new questions about U.S. military veteran status that are asked on the ACS.
  • 2015. The 2015 NSCG questionnaire added a section on professional certifications and licenses.
  • 2013. The 2013 NSCG questionnaire added questions about attendance at community colleges, amounts borrowed to finance undergraduate and graduate degrees, and sources of financial support for undergraduate and graduate degrees. The 2013 questionnaire also differed from the 2010 questionnaire by splitting the first response category for the indicator of sample member location on the survey reference date into two categories. “United States, Puerto Rico, or another U.S. territory” became “United States or Puerto Rico” and “Another U.S. territory.”
  • 2010. The 2010 NSCG questionnaire added items on components of job satisfaction, importance of job benefits, year of retirement, whether employer is a new business, and degree of difficulty concentrating, remembering, or making decisions.

Changes in reporting procedures or classification

  • In past years, NSCG data were combined with data from the SDR and the NSRCG to form the Scientists and Engineers Statistical Data System (SESTAT). The last series of tables produced from SESTAT used 2013 NSCG data. Since then, NSCG data have been used in numerous tables for NCSES’s two congressionally mandated reports ( Science and Engineering Indicators and Women, Minorities, and Persons with Disabilities in Science and Engineering ).

Definitions

Field of degree. NSCG respondents are asked to report each degree they have earned at the bachelor’s level or higher, along with the major field of study for each degree. The 2021 NSCG used a taxonomy of 142 “detailed” fields of study from which respondents could select the field that best represented their major. These 142 “detailed” fields of study were aggregated into 31 “minor” fields, 7 “major” fields, and 3 “broad” fields (S&E, S&E-related, and non-S&E). (See technical table A-1 for a list and classification of fields of study reported in the NSCG.)

Full-time and part-time employment. Full-time (working 35 hours or more per week) and part-time (working less than 35 hours per week) employment status is for the principal job only and not for all jobs held in the labor force. For example, an individual who works part time in his or her principal job but full time in the labor force would be tabulated as part time.

Highest degree level. NSCG respondents report the degrees they have earned at the bachelor’s level (e.g., BS, BA, AB), master’s level (e.g., MS, MA, MBA), and doctorate level (e.g., PhD, DSc, EdD), as well as other professional degrees (e.g., JD, LLB, MD, DDS, DVM). Because the NSCG is focused on the S&E workforce, the sampling strategy does not include a special effort to collect professional degrees. As such, there is not always sufficient data for the professional degrees to be displayed separately in the tables.

Occupation data. The occupational classification of the respondent was based on his or her principal job (including job title) held during the reference week—or on his or her last job held, if not employed in the reference week (survey questions A5 and A6 as well as A16 and A17). Also used in the occupational classification was a respondent-selected job code (survey questions A7 and A18). (See technical table A-2 for a list and classification of occupations reported in the NSCG.)

Race and ethnicity. Ethnicity is defined as Hispanic or Latino or not Hispanic or Latino. Values for those selecting a single race include American Indian or Alaska Native, Asian, Black or African American, Native Hawaiian or Other Pacific Islander, and White. Those persons who report more than one race and who are not of Hispanic or Latino ethnicity also have a separate value.

Salary. Median annual salaries are reported for the principal job, rounded to the nearest $1,000, and computed for individuals employed full time. For individuals employed by educational institutions, no accommodation was made to convert academic year salaries to calendar year salaries.

Sector of employment. Employment sector is a derived variable based on responses to questionnaire items A13, A14, and A15. In the data tables, the category 4-year educational institution includes 4-year colleges or universities, medical schools (including university-affiliated hospitals or medical centers), and university-affiliated research institutes. Two-year and pre-college institutions include community colleges, technical institutes, and other educational institutions (which respondents reported verbatim in the survey questionnaire). For-profit business or industry includes respondents who were self-employed in an incorporated business. Self-employed includes respondents who were self-employed or were a business owner in a non-incorporated business.

Fay RE, Train GF. 1995. Aspects of Survey and Model-Based Postcensal Estimation of Income and Poverty Characteristics for States and Counties. American Statistical Association Pro cee dings of the S ec tion on Go ve rnm e nt Statisti c s , 154–59.

Wolter K. 1984. An Investigation of Some Estimators of Variance for Systematic Sampling. J ournal of the Am e ri c an Statisti c al Asso c iation 79(388):781–90.

Technical Tables

Questionnaires, view archived questionnaires, key data tables.

Recommended data tables

Fields of study of college graduates

Occupations of college graduates, college graduates over time, data tables, work activities and job satisfaction of employed college graduates, median salaries of full-time employed college graduates, demographic characteristics of college graduates, general notes.

The National Survey of College Graduates, conducted by the National Center for Science and Engineering Statistics within the National Science Foundation, is a repeated cross-sectional biennial survey that collects information on the nation’s college-educated workforce. This survey is a unique source for examining the relationship between degree field and occupation, as well as for examining other characteristics of college-educated individuals, including work activities, salary, and demographic information.

Acknowledgments and Suggested Citation

Acknowledgments.

Lynn Milan of the National Center for Science and Engineering Statistics (NCSES) developed and coordinated this report under the leadership of Emilda B. Rivers, NCSES Director; Vipin Arora, NCSES Deputy Director; and John Finamore, NCSES Chief Statistician. Jock Black (NCSES) reviewed the report.

The Census Bureau, under National Science Foundation interagency agreement number NCSE-2040211, collected and tabulated the data for the NSCG. The statistical data tables were compiled by Greg Orlofsky (Census) and verified by Nguyen Tu Tran (DMI). Data and publication processing support was provided by Devi Mishra, Christine Hamel, Tanya Gore, Joe Newman, and Rajinder Raut (NCSES).

NCSES thanks the college graduates who participated in the NSCG for their time and effort in generously contributing to the information included in this report.

Suggested Citation

National Center for Science and Engineering Statistics (NCSES). 2022. National Survey of College Graduates: 20 21 . NSF 23-306. Alexandria, VA: National Science Foundation. Available at https://ncses.nsf.gov/pubs/nsf23306/ .

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PhD Thesis Defence | Yuan Wang, Space-time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem

MC 5417 and MS Teams (please email [email protected] for the meeting link)

Yuan Wang | Applied Mathematics, University of Waterloo

Space-time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem

In this thesis, we analyze a space-time hybridizable discontinuous Galerkin (HDG) method for the time-dependent advection-dominated advection-diffusion problem. It is well-known that solutions to these problems may admit sharp boundary and interior layers and that many numerical methods are prone to non-physical oscillations when resolving these solutions. This challenge has prompted the design of many new numerical methods and stabilization mechanisms. Among others, HDG methods prove to be capable of resolving the sharp layers in a robust manner. The design principles of HDG methods consist of discontinuous Galerkin (DG) methods and their strong stability properties, as well as hybridization to reduce the computational cost of the numerical method.

The analysis in this work focuses on a space-time formulation of the time-dependent advection-diffusion problem and an HDG discretization in both space and time. This provides a straightforward approach to discretize the problem on a time-dependent domain, with arbitrary higher-order spatial and temporal accuracy. We present an a priori error analysis that provides Peclet-robust error estimates that are also valid on moving meshes. A key intermediate step towards our error estimates is a Peclet-robust inf-sup stability condition.

The second contribution of this thesis is an a posteriori error analysis of the space-time HDG method for the time-dependent advection-dominated advection-diffusion problem on fixed domains. This is motivated by the efficiency of combining a posteriori error estimators with adaptive mesh refinement (AMR) to locally refine or coarsen a mesh in the presence of sharp layers. When the solution admits sharp layers, AMR may still lead to optimal rates of convergence in terms of the number of degrees-of-freedom, unlike uniform mesh refinement.

In this thesis, we present an a posteriori error estimator for the space-time HDG method with respect to a locally computable norm. We prove its reliability and local efficiency. The proof of reliability is based on a combination of a Peclet-robust coercivity type result and a saturation assumption. In addition, efficiency, which is local both in space and time, is shown using bubble function techniques. The error estimator in this thesis is fully local, hence it is an estimator for local space and time adaptivity in the AMR procedure.

Finally, numerical simulations are presented to demonstrate and verify the theory. Both uniform and adaptive refinement strategies are performed on problems which admit boundary and interior layers.

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The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations .

Alum Alexander Levine Honored with Charles A. Caramello Distinguished Dissertation Award

Descriptive image for Alum Alexander Levine Honored with Charles A. Caramello Distinguished Dissertation Award

University of Maryland Department of Computer Science alum Alexander Levine (Ph.D. '23, computer science) has been awarded the Charles A. Caramello Distinguished Dissertation Award for his dissertation titled "Scalable Methods for Robust Machine Learning." Levine, now a postdoctoral fellow at the University of Texas at Austin , focused on developing machine learning models that maintain accuracy amid distortions. The award ceremony is scheduled for Tuesday, May 14, at the Stamp Student Union. The award is for the dissertation he completed in 2023.

The Charles A. Caramello Distinguished Dissertation Award is given annually by the Graduate School to recognize dissertations that provide highly original contributions that make an unusually significant contribution to the discipline. Levine is among four recipients of the award this year.

Awardees receive an honorarium of $1,000. Additionally, they may be nominated for further recognition at the national level through the CGS/ProQuest Distinguished Dissertation Award competition, which selects outstanding dissertations from across the country to honor achievements in graduate research.

“I feel honored that my work has been recognized by this award,” Levine said. “I am deeply thankful for all of the support I received during my time at UMD from my advisor, my collaborators, my dissertation committee and the rest of the UMD computer science community. I am fortunate to have worked with such talented people on such interesting problems.”

Advised by Associate Professor Soheil Feizi , Levine's dissertation introduces innovative methods for ensuring the robustness of machine learning models, specifically in scenarios where input data may be subtly altered or distorted, including malicious tampering. This research is particularly relevant as machine learning applications become increasingly prevalent in areas requiring high reliability and security.

Levine explained that practitioners can implement these systems more confidently in safety-critical applications by developing machine learning techniques with well-understood robustness guarantees. He noted that the capabilities of machine-learning-based systems have expanded dramatically in just the last couple of years, increasing their use in various sectors. Levine emphasized the growing importance of ensuring these systems' robustness as their applications broaden.

Levine is currently expanding his research focus.

“At UT Austin, my research focus has shifted to representation learning for sequential decision-making tasks,” Levine shared. “In particular, I have been working on frameworks that allow deep learning to be used in combination with search-based planning techniques, so that we can benefit from both the powerful capabilities of modern deep learning and the interpretability, flexibility and efficiency of classical planning methods. ”

Levine received the Larry S. Davis Doctoral Dissertation Award in the Fall of 2023 . Named in honor of Computer Science Professor Emeritus Larry Davis , the award, given by UMD’s Department of Computer Science, highlighted dissertations that were exceptional in their technical depth and potential for significant impact.

—Story by Samuel Malede Zewdu, CS Communications 

The Department welcomes comments, suggestions and corrections.  Send email to editor [-at-] cs [dot] umd [dot] edu .

methodology for phd

UC Davis Graduate Studies

Two individuals standing in front of two-toned background with the left side in cream color and the rigght in blue, bith wearing button-up shirts with one displaying a checkered pattern and the other a floral print. Text overhead reads "2024 Mellon/ACLS Dissertation Innovation Fellows" and at the bottom "Representing UC Davis".

UC Davis Doctoral Students Selected as 2024 Mellon/ACLS Dissertation Innovation Fellows

  • by Graduate Studies
  • April 22, 2024

We're excited to announce that three UC Davis doctoral students – Victor Chimaway Lopez (Native American Studies), Stephen Eyman (Linguistics), and David Morales (History) – have been selected as 2024 Mellon/ACLS Dissertation Innovation Fellows! The American Council of Learned Societies (ACLS) launched the program in 2023 with the support of the Mellon Foundation to advance a vision for doctoral education that prioritizes openness to new methods and sources, underrepresented voices and perspectives, and scholarly experimentation. The awards are designed to accelerate change in the norms of humanistic scholarship by recognizing those who take risks in the modes, methods, and subjects of their research. 

The ACLS used a rigorous, interdisciplinary peer review process to select the fellows, who represent a diverse range of research topics. Our scholars were chosen from a competitive pool of over 700 applicants from 125 U.S. universities, reflecting the prestige of this honor. 

Each fellow receives an award of up to $50,000, consisting of a $40,000 stipend for the fellowship year; up to $8,000 for project-related research, training, professional development, and travel expenses; and a $2,000 stipend to support external mentorship that offers new perspectives on the fellow’s project and expands their advising network. With fellows pursuing their research across the country and beyond, ACLS will also provide opportunities for virtual networking and scholarly programming throughout the fellows’ award terms. 

Congratulations to Victor, Stephen and David on this remarkable achievement!

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  26. PhD Thesis Defence

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  27. Recent Ph.D. Student Alexander Levine Honored with Charles A. Caramello

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