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Scope of the Research – Writing Guide and Examples

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Scope of the Research

Scope of research refers to the range of topics, areas, and subjects that a research project intends to cover. It is the extent and limitations of the study, defining what is included and excluded in the research.

The scope of a research project depends on various factors, such as the research questions , objectives , methodology, and available resources. It is essential to define the scope of the research project clearly to avoid confusion and ensure that the study addresses the intended research questions.

How to Write Scope of the Research

Writing the scope of the research involves identifying the specific boundaries and limitations of the study. Here are some steps you can follow to write a clear and concise scope of the research:

• Identify the research question: Start by identifying the specific question that you want to answer through your research . This will help you focus your research and define the scope more clearly.
• Define the objectives: Once you have identified the research question, define the objectives of your study. What specific goals do you want to achieve through your research?
• Determine the population and sample: Identify the population or group of people that you will be studying, as well as the sample size and selection criteria. This will help you narrow down the scope of your research and ensure that your findings are applicable to the intended audience.
• Identify the variables: Determine the variables that will be measured or analyzed in your research. This could include demographic variables, independent variables , dependent variables , or any other relevant factors.
• Define the timeframe: Determine the timeframe for your study, including the start and end date, as well as any specific time intervals that will be measured.
• Determine the geographical scope: If your research is location-specific, define the geographical scope of your study. This could include specific regions, cities, or neighborhoods that you will be focusing on.
• Outline the limitations: Finally, outline any limitations or constraints of your research, such as time, resources, or access to data. This will help readers understand the scope and applicability of your research findings.

Examples of the Scope of the Research

Some Examples of the Scope of the Research are as follows:

Title : “Investigating the impact of artificial intelligence on job automation in the IT industry”

Scope of Research:

This study aims to explore the impact of artificial intelligence on job automation in the IT industry. The research will involve a qualitative analysis of job postings, identifying tasks that can be automated using AI. The study will also assess the potential implications of job automation on the workforce, including job displacement, job creation, and changes in job requirements.

Title : “Developing a machine learning model for predicting cyberattacks on corporate networks”

This study will develop a machine learning model for predicting cyberattacks on corporate networks. The research will involve collecting and analyzing network traffic data, identifying patterns and trends that are indicative of cyberattacks. The study aims to build an accurate and reliable predictive model that can help organizations identify and prevent cyberattacks before they occur.

Title: “Assessing the usability of a mobile app for managing personal finances”

This study will assess the usability of a mobile app for managing personal finances. The research will involve conducting a usability test with a group of participants, evaluating the app’s ease of use, efficiency, and user satisfaction. The study aims to identify areas of the app that need improvement, and to provide recommendations for enhancing its usability and user experience.

Title : “Exploring the effects of mindfulness meditation on stress reduction among college students”

This study aims to investigate the impact of mindfulness meditation on reducing stress levels among college students. The research will involve a randomized controlled trial with two groups: a treatment group that receives mindfulness meditation training and a control group that receives no intervention. The study will examine changes in stress levels, as measured by self-report questionnaires, before and after the intervention.

Title: “Investigating the impact of social media on body image dissatisfaction among young adults”

This study will explore the relationship between social media use and body image dissatisfaction among young adults. The research will involve a cross-sectional survey of participants aged 18-25, assessing their social media use, body image perceptions, and self-esteem. The study aims to identify any correlations between social media use and body image dissatisfaction, and to determine if certain social media platforms or types of content are particularly harmful.

When to Write Scope of the Research

Here is a guide on When to Write the Scope of the Research:

• Before starting your research project, it’s important to clearly define the scope of your study. This will help you stay focused on your research question and avoid getting sidetracked by irrelevant information.
• The scope of the research should be determined by the research question or problem statement. It should outline what you intend to investigate and what you will not be investigating.
• The scope should also take into consideration any limitations of the study, such as time, resources, or access to data. This will help you realistically plan and execute your research.
• Writing the scope of the research early in the research process can also help you refine your research question and identify any gaps in the existing literature that your study can address.
• It’s important to revisit the scope of the research throughout the research process to ensure that you stay on track and make any necessary adjustments.
• The scope of the research should be clearly communicated in the research proposal or study protocol to ensure that all stakeholders are aware of the research objectives and limitations.
• The scope of the research should also be reflected in the research design, methods, and analysis plan. This will ensure that the research is conducted in a systematic and rigorous manner that is aligned with the research objectives.
• The scope of the research should be written in a clear and concise manner, using language that is accessible to all stakeholders, including those who may not be familiar with the research topic or methodology.
• When writing the scope of the research, it’s important to be transparent about any assumptions or biases that may influence the research findings. This will help ensure that the research is conducted in an ethical and responsible manner.
• The scope of the research should be reviewed and approved by the research supervisor, committee members, or other relevant stakeholders. This will ensure that the research is feasible, relevant, and contributes to the field of study.
• Finally, the scope of the research should be clearly stated in the research report or dissertation to provide context for the research findings and conclusions. This will help readers understand the significance of the research and its contribution to the field of study.

Purpose of Scope of the Research

Purposes of Scope of the Research are as follows:

• Defines the boundaries and extent of the study.
• Determines the specific objectives and research questions to be addressed.
• Provides direction and focus for the research.
• Helps to identify the relevant theories, concepts, and variables to be studied.
• Enables the researcher to select the appropriate research methodology and techniques.
• Allows for the allocation of resources (time, money, personnel) to the research.
• Establishes the criteria for the selection of the sample and data collection methods.
• Facilitates the interpretation and generalization of the results.
• Ensures the ethical considerations and constraints are addressed.
• Provides a framework for the presentation and dissemination of the research findings.

Advantages of Scope of the Research

Here are some advantages of having a well-defined scope of research:

• Provides clarity and focus: Defining the scope of research helps to provide clarity and focus to the study. This ensures that the research stays on track and does not deviate from its intended purpose.
• Helps to manage resources: Knowing the scope of research allows researchers to allocate resources effectively. This includes managing time, budget, and personnel required to conduct the study.
• Improves the quality of research: A well-defined scope of research helps to ensure that the study is designed to achieve specific objectives. This helps to improve the quality of the research by reducing the likelihood of errors or bias.
• Facilitates communication: A clear scope of research enables researchers to communicate the goals and objectives of the study to stakeholders, such as funding agencies or participants. This facilitates understanding and enhances cooperation.
• Enables replication : A well-defined scope of research makes it easier to replicate the study in the future. This allows other researchers to validate the findings and build upon them, leading to the advancement of knowledge in the field.
• Increases the relevance of research: Defining the scope of research helps to ensure that the study is relevant to the problem or issue being investigated. This increases the likelihood that the findings will be useful and applicable to real-world situations.
• Reduces the risk of scope creep : Scope creep occurs when the research expands beyond the original scope, leading to an increase in the time, cost, and resources required to complete the study. A clear definition of the scope of research helps to reduce the risk of scope creep by establishing boundaries and limitations.
• Enhances the credibility of research: A well-defined scope of research helps to enhance the credibility of the study by ensuring that it is designed to achieve specific objectives and answer specific research questions. This makes it easier for others to assess the validity and reliability of the study.
• Provides a framework for decision-making : A clear scope of research provides a framework for decision-making throughout the research process. This includes decisions related to data collection, analysis, and interpretation.

Scope of the Research Vs Scope of the Project

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Scope and Delimitations – Explained & Example

• By DiscoverPhDs
• October 2, 2020

What Is Scope and Delimitation in Research?

The scope and delimitations of a thesis, dissertation or research paper define the topic and boundaries of the research problem to be investigated.

The scope details how in-depth your study is to explore the research question and the parameters in which it will operate in relation to the population and timeframe.

The delimitations of a study are the factors and variables not to be included in the investigation. In other words, they are the boundaries the researcher sets in terms of study duration, population size and type of participants, etc.

Difference Between Delimitations and Limitations

Delimitations refer to the boundaries of the research study, based on the researcher’s decision of what to include and what to exclude. They narrow your study to make it more manageable and relevant to what you are trying to prove.

Limitations relate to the validity and reliability of the study. They are characteristics of the research design or methodology that are out of your control but influence your research findings. Because of this, they determine the internal and external validity of your study and are considered potential weaknesses.

In other words, limitations are what the researcher cannot do (elements outside of their control) and delimitations are what the researcher will not do (elements outside of the boundaries they have set). Both are important because they help to put the research findings into context, and although they explain how the study is limited, they increase the credibility and validity of a research project.

Guidelines on How to Write a Scope

A good scope statement will answer the following six questions:

• Why – the general aims and objectives (purpose) of the research.
• What – the subject to be investigated, and the included variables.
• Where – the location or setting of the study, i.e. where the data will be gathered and to which entity the data will belong.
• When – the timeframe within which the data is to be collected.
• Who – the subject matter of the study and the population from which they will be selected. This population needs to be large enough to be able to make generalisations.
• How – how the research is to be conducted, including a description of the research design (e.g. whether it is experimental research, qualitative research or a case study), methodology, research tools and analysis techniques.

To make things as clear as possible, you should also state why specific variables were omitted from the research scope, and whether this was because it was a delimitation or a limitation. You should also explain why they could not be overcome with standard research methods backed up by scientific evidence.

How to Start Writing Your Study Scope

Use the below prompts as an effective way to start writing your scope:

• This study is to focus on…
• This study covers the…
• This study aims to…

Guidelines on How to Write Delimitations

Since the delimitation parameters are within the researcher’s control, readers need to know why they were set, what alternative options were available, and why these alternatives were rejected. For example, if you are collecting data that can be derived from three different but similar experiments, the reader needs to understand how and why you decided to select the one you have.

Your reasons should always be linked back to your research question, as all delimitations should result from trying to make your study more relevant to your scope. Therefore, the scope and delimitations are usually considered together when writing a paper.

How to Start Writing Your Study Delimitations

Use the below prompts as an effective way to start writing your study delimitations:

• This study does not cover…
• This study is limited to…
• The following has been excluded from this study…

Examples of Delimitation in Research

Examples of delimitations include:

• research objectives,
• research questions,
• research variables,
• target populations,
• statistical analysis techniques .

Examples of Limitations in Research

Examples of limitations include:

• Issues with sample and selection,
• Insufficient sample size, population traits or specific participants for statistical significance,
• Lack of previous research studies on the topic which has allowed for further analysis,
• Limitations in the technology/instruments used to collect your data,
• Limited financial resources and/or funding constraints.

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Setting Limits and Focusing Your Study: Exploring scope and delimitation

As a researcher, it can be easy to get lost in the vast expanse of information and data available. Thus, when starting a research project, one of the most important things to consider is the scope and delimitation of the study. Setting limits and focusing your study is essential to ensure that the research project is manageable, relevant, and able to produce useful results. In this article, we will explore the importance of setting limits and focusing your study through an in-depth analysis of scope and delimitation.

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Table of Contents

Scope and Delimitation – Definition and difference

Scope refers to the range of the research project and the study limitations set in place to define the boundaries of the project and delimitation refers to the specific aspects of the research project that the study will focus on.

In simpler words, scope is the breadth of your study, while delimitation is the depth of your study.

Scope and delimitation are both essential components of a research project, and they are often confused with one another. The scope defines the parameters of the study, while delimitation sets the boundaries within those parameters. The scope and delimitation of a study are usually established early on in the research process and guide the rest of the project.

Types of Scope and Delimitation

Significance of Scope and Delimitation

Setting limits and focusing your study through scope and delimitation is crucial for the following reasons:

• It allows researchers to define the research project’s boundaries, enabling them to focus on specific aspects of the project. This focus makes it easier to gather relevant data and avoid unnecessary information that might complicate the study’s results.
• Setting limits and focusing your study through scope and delimitation enables the researcher to stay within the parameters of the project’s resources.
• A well-defined scope and delimitation ensure that the research project can be completed within the available resources, such as time and budget, while still achieving the project’s objectives.

5 Steps to Setting Limits and Defining the Scope and Delimitation of Your Study

There are a few steps that you can take to set limits and focus your study.

1. Identify your research question or topic

The first step is to identify what you are interested in learning about. The research question should be specific, measurable, achievable, relevant, and time-bound (SMART). Once you have a research question or topic, you can start to narrow your focus.

2. Consider the key terms or concepts related to your topic

What are the important terms or concepts that you need to understand in order to answer your research question? Consider all available resources, such as time, budget, and data availability, when setting scope and delimitation.

The scope and delimitation should be established within the parameters of the available resources. Once you have identified the key terms or concepts, you can start to develop a glossary or list of definitions.

3. Consider the different perspectives on your topic

There are often different perspectives on any given topic. Get feedback on the proposed scope and delimitation. Advisors can provide guidance on the feasibility of the study and offer suggestions for improvement.

It is important to consider all of the different perspectives in order to get a well-rounded understanding of your topic.

4. Narrow your focus

Be specific and concise when setting scope and delimitation. The parameters of the study should be clearly defined to avoid ambiguity and ensure that the study is focused on relevant aspects of the research question.

This means deciding which aspects of your topic you will focus on and which aspects you will eliminate.

5. Develop the final research plan

Revisit and revise the scope and delimitation as needed. As the research project progresses, the scope and delimitation may need to be adjusted to ensure that the study remains focused on the research question and can produce useful results. This plan should include your research goals, methods, and timeline.

Examples of Scope and Delimitation

To better understand scope and delimitation, let us consider two examples of research questions and how scope and delimitation would apply to them.

Research question: What are the effects of social media on mental health?

Scope: The scope of the study will focus on the impact of social media on the mental health of young adults aged 18-24 in the United States.

Delimitation: The study will specifically examine the following aspects of social media: frequency of use, types of social media platforms used, and the impact of social media on self-esteem and body image.

Research question: What are the factors that influence employee job satisfaction in the healthcare industry?

Scope: The scope of the study will focus on employee job satisfaction in the healthcare industry in the United States.

Delimitation: The study will specifically examine the following factors that influence employee job satisfaction: salary, work-life balance, job security, and opportunities for career growth.

Setting limits and defining the scope and delimitation of a research study is essential to conducting effective research. By doing so, researchers can ensure that their study is focused, manageable, and feasible within the given time frame and resources. It can also help to identify areas that require further study, providing a foundation for future research.

So, the next time you embark on a research project, don’t forget to set clear limits and define the scope and delimitation of your study. It may seem like a tedious task, but it can ultimately lead to more meaningful and impactful research. And if you still can’t find a solution, reach out to Enago Academy using #AskEnago and tag @EnagoAcademy on Twitter , Facebook , and Quora .

Frequently Asked Questions

The scope in research refers to the boundaries and extent of a study, defining its specific objectives, target population, variables, methods, and limitations, which helps researchers focus and provide a clear understanding of what will be investigated.

Delimitation in research defines the specific boundaries and limitations of a study, such as geographical, temporal, or conceptual constraints, outlining what will be excluded or not within the scope of investigation, providing clarity and ensuring the study remains focused and manageable.

To write a scope; 1. Clearly define research objectives. 2. Identify specific research questions. 3. Determine the target population for the study. 4. Outline the variables to be investigated. 5. Establish limitations and constraints. 6. Set boundaries and extent of the investigation. 7. Ensure focus, clarity, and manageability. 8. Provide context for the research project.

To write delimitations; 1. Identify geographical boundaries or constraints. 2. Define the specific time period or timeframe of the study. 3. Specify the sample size or selection criteria. 4. Clarify any demographic limitations (e.g., age, gender, occupation). 5. Address any limitations related to data collection methods. 6. Consider limitations regarding the availability of resources or data. 7. Exclude specific variables or factors from the scope of the study. 8. Clearly state any conceptual boundaries or theoretical frameworks. 9. Acknowledge any potential biases or constraints in the research design. 10. Ensure that the delimitations provide a clear focus and scope for the study.

What is an example of delimitation of the study?

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The scope of your project sets clear parameters for your research. 

A scope statement will give basic information about the depth and breadth of the project. It tells your reader exactly what you want to find out , how you will conduct your study, the reports and deliverables  that will be part of the outcome of the study, and the responsibilities of the researchers involved in the study. The extent of the scope will be a part of acknowledging any biases in the research project. 

Defining the scope of a project: 

• focuses your research goals
• clarifies the expectations for your research project
•  helps you determine potential biases in your research methodology by acknowledging the limits of your research study 
• identifies the limitations of your research 
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How to write the scope of the study?

The scope of the study refers to the elements that will be covered in a research project. It defines the boundaries of the research. The scope is always decided in the preliminary stages of a study. Deciding it in the later stages creates a lot of ambiguity regarding the research goals. The main purpose of the scope of the study is that explains the extent to which the research area will be explored and thus specifies the parameters that will be observed within the study. In other words, it enables the researcher to define what the study will cover and the elements that it will not. Defining the scope helps the researcher acquire a high level of research and writing capability.

Goals of establishing the scope of the study

The following steps can help the researcher to effectively define the goals of establishing a scope of the study.

Identification of the project or research needs

The first step is to identify the research needs. This helps them set a benchmark from the first step. Identification of the ‘what’ and ‘why’ enables the researcher to clearly set the research goals and objectives and the manner in which they will be performed.

Confirmation of the goals and objectives of the research

The goals and objectives defined in the project scope should be aligned with the SMART (Specific, Measurable, Achievable, Realistic and Timeframe) guidelines, which are:

• Specific- this involves a clear specification of what the researcher wants to achieve. It involves specifying what, why and how things will be done. This reduces the chances of ambiguities and any misunderstanding in the future.
• Measurable- Goals should be measurable and dynamic so that constant feedback can be generated for improvement.
• Achievable- Research goals should be achievable with the resources that are available.
• Realistic- Goals should be easier to deliver so that complications that can hamper the quality of the research can be avoided. Other considerations to be kept in mind are the budget and timeline.  
• Time frame- lastly, the researcher should estimate whether the set goals can be achieved within the given time frame or not.

Expectations and Acceptance

The researcher should take into account the expectations of the research and how well the findings of the researcher will be accepted by the reader. For instance, will the findings of your study help in policymaking or not?

Identification of the constraints

there are always certain roadblocks in conducting research, such as environmental conditions, technological inefficiency and lack of resources. Identifying these limitations and their possible solutions in advance help achieve goals better.

Identifying the necessary changes

After the preliminary goals are set, the researcher must carry out some part of the research so that necessary changes that lead to waste of time and resources at later stages are reduced. For example, while conducting an interview, if the researcher believes that the sample size decided is too large or too small according to the scope of the study, then the researcher can make the necessary changes in that order to avoid wastage of time and resources.

Guidelines for writing the scope of the study

The major things that the researcher should keep in mind while writing the scope of the study are as follows.

• Time period: While writing the scope of the study the researcher should first mention or state categorically the time periods the study will cover. Generally, the researchers combine the scope of the study with the limitation of the study. These things are quite interwoven. The main difference between the two is that limitations further cover the points like monetary constraints or non-cooperation from the side of the target audience.
• Geography: In addition to this another major point that the researcher should keep in mind is that the scope of the study should state the specific aspect of the data that needs to be collected like the geographic locations and the variables.
• Research population: Another major aspect that should be involved while writing the scope of the study is the sample size or the population that the researcher has selected for the study. The sampling plan must clearly indicate the sample universe, target population, profile and sample size with justification.
• Theories: The researcher should state the academic theories that are being applied to the data collected so that the reader better knows the lens of the analysis. This is presented in the ‘theoretical framework’ section.
• Purpose: The scope of the study must indicate the purpose behind it. It must briefly define the larger picture, i.e. the overall goal the researcher is trying to achieve.  
• Limitations: It is impossible to avoid roadblocks in research. Every research is restricted in scope and is subjected to certain limitations. By acknowledging these limitations and how they are restricting the study makes its findings even more credible.

Consider the topic ‘Analysis of the role of social media on the educational development in India from 2000-2015’. The scope of the study for this research topic should include several roles within the mentioned time period. Further, it should also cover the mass media types that have been used in the analysis of the study also including the location and the sample size as well.

Scope of the study

With the increase in the number of social media users and its use in everyday communication at the individual and organizational levels, there has been a corresponding increase in its incorporation in educational development and especially in a country like India. In view of this situation, the present study analyzes the role of social media on the educational development of students. To this end, the study will also cover the changes in the usage of social media in the educational field over the time period ranging from 2000-2015. The scope of the study is restricted to select social media platforms, specifically Facebook, Twitter and YouTube. The empirical study in this research is restricted to five universities located across India, wherein the opinions of 30 teachers were studied in interview sessions. Further, the study also involves an analysis of students’ perspectives on the role of social media in education from the same university. Therefore the scope of this study is limited to India, and more specifically to those offering Arts and Science-related courses.

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• How to Write a Research Proposal | Examples & Templates

How to Write a Research Proposal | Examples & Templates

Published on October 12, 2022 by Shona McCombes and Tegan George. Revised on November 21, 2023.

A research proposal describes what you will investigate, why it’s important, and how you will conduct your research.

The format of a research proposal varies between fields, but most proposals will contain at least these elements:

Introduction

Literature review.

• Research design

Reference list

While the sections may vary, the overall objective is always the same. A research proposal serves as a blueprint and guide for your research plan, helping you get organized and feel confident in the path forward you choose to take.

Table of contents

Research proposal purpose, research proposal examples, research design and methods, contribution to knowledge, research schedule, other interesting articles, frequently asked questions about research proposals.

Academics often have to write research proposals to get funding for their projects. As a student, you might have to write a research proposal as part of a grad school application , or prior to starting your thesis or dissertation .

In addition to helping you figure out what your research can look like, a proposal can also serve to demonstrate why your project is worth pursuing to a funder, educational institution, or supervisor.

Research proposal length

The length of a research proposal can vary quite a bit. A bachelor’s or master’s thesis proposal can be just a few pages, while proposals for PhD dissertations or research funding are usually much longer and more detailed. Your supervisor can help you determine the best length for your work.

One trick to get started is to think of your proposal’s structure as a shorter version of your thesis or dissertation , only without the results , conclusion and discussion sections.

Download our research proposal template

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See an example

Writing a research proposal can be quite challenging, but a good starting point could be to look at some examples. We’ve included a few for you below.

• Example research proposal #1: “A Conceptual Framework for Scheduling Constraint Management”
• Example research proposal #2: “Medical Students as Mediators of Change in Tobacco Use”

Like your dissertation or thesis, the proposal will usually have a title page that includes:

• The proposed title of your project
• Your supervisor’s name
• Your institution and department

The first part of your proposal is the initial pitch for your project. Make sure it succinctly explains what you want to do and why.

Your introduction should:

• Introduce your topic
• Give necessary background and context
• Outline your  problem statement  and research questions

To guide your introduction , include information about:

• Who could have an interest in the topic (e.g., scientists, policymakers)
• How much is already known about the topic
• What is missing from this current knowledge
• What new insights your research will contribute
• Why you believe this research is worth doing

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As you get started, it’s important to demonstrate that you’re familiar with the most important research on your topic. A strong literature review  shows your reader that your project has a solid foundation in existing knowledge or theory. It also shows that you’re not simply repeating what other people have already done or said, but rather using existing research as a jumping-off point for your own.

In this section, share exactly how your project will contribute to ongoing conversations in the field by:

• Comparing and contrasting the main theories, methods, and debates
• Examining the strengths and weaknesses of different approaches
• Explaining how will you build on, challenge, or synthesize prior scholarship

Following the literature review, restate your main  objectives . This brings the focus back to your own project. Next, your research design or methodology section will describe your overall approach, and the practical steps you will take to answer your research questions.

To finish your proposal on a strong note, explore the potential implications of your research for your field. Emphasize again what you aim to contribute and why it matters.

For example, your results might have implications for:

• Improving best practices
• Informing policymaking decisions
• Strengthening a theory or model
• Challenging popular or scientific beliefs
• Creating a basis for future research

Last but not least, your research proposal must include correct citations for every source you have used, compiled in a reference list . To create citations quickly and easily, you can use our free APA citation generator .

Some institutions or funders require a detailed timeline of the project, asking you to forecast what you will do at each stage and how long it may take. While not always required, be sure to check the requirements of your project.

Here’s an example schedule to help you get started. You can also download a template at the button below.

Download our research schedule template

If you are applying for research funding, chances are you will have to include a detailed budget. This shows your estimates of how much each part of your project will cost.

Make sure to check what type of costs the funding body will agree to cover. For each item, include:

• Cost : exactly how much money do you need?
• Justification : why is this cost necessary to complete the research?
• Source : how did you calculate the amount?

To determine your budget, think about:

• Travel costs : do you need to go somewhere to collect your data? How will you get there, and how much time will you need? What will you do there (e.g., interviews, archival research)?
• Materials : do you need access to any tools or technologies?
• Help : do you need to hire any research assistants for the project? What will they do, and how much will you pay them?

If you want to know more about the research process , methodology , research bias , or statistics , make sure to check out some of our other articles with explanations and examples.

Methodology

• Sampling methods
• Simple random sampling
• Stratified sampling
• Cluster sampling
• Likert scales
• Reproducibility

 Statistics

• Null hypothesis
• Statistical power
• Probability distribution
• Effect size
• Poisson distribution

Research bias

• Optimism bias
• Cognitive bias
• Implicit bias
• Hawthorne effect
• Anchoring bias
• Explicit bias

Once you’ve decided on your research objectives , you need to explain them in your paper, at the end of your problem statement .

Keep your research objectives clear and concise, and use appropriate verbs to accurately convey the work that you will carry out for each one.

I will compare …

A research aim is a broad statement indicating the general purpose of your research project. It should appear in your introduction at the end of your problem statement , before your research objectives.

Research objectives are more specific than your research aim. They indicate the specific ways you’ll address the overarching aim.

A PhD, which is short for philosophiae doctor (doctor of philosophy in Latin), is the highest university degree that can be obtained. In a PhD, students spend 3–5 years writing a dissertation , which aims to make a significant, original contribution to current knowledge.

A PhD is intended to prepare students for a career as a researcher, whether that be in academia, the public sector, or the private sector.

A master’s is a 1- or 2-year graduate degree that can prepare you for a variety of careers.

All master’s involve graduate-level coursework. Some are research-intensive and intend to prepare students for further study in a PhD; these usually require their students to write a master’s thesis . Others focus on professional training for a specific career.

Critical thinking refers to the ability to evaluate information and to be aware of biases or assumptions, including your own.

Like information literacy , it involves evaluating arguments, identifying and solving problems in an objective and systematic way, and clearly communicating your ideas.

The best way to remember the difference between a research plan and a research proposal is that they have fundamentally different audiences. A research plan helps you, the researcher, organize your thoughts. On the other hand, a dissertation proposal or research proposal aims to convince others (e.g., a supervisor, a funding body, or a dissertation committee) that your research topic is relevant and worthy of being conducted.

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McCombes, S. & George, T. (2023, November 21). How to Write a Research Proposal | Examples & Templates. Scribbr. Retrieved April 3, 2024, from https://www.scribbr.com/research-process/research-proposal/

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How To Write Scope and Delimitation of a Research Paper (With Examples)

An effective research paper or thesis has a well-written Scope and Delimitation.  This portion specifies your study’s coverage and boundaries.

Not yet sure about how to write your research’s Scope and Delimitation? Fret not, as we’ll guide you through the entire writing process through this article.

Related: How To Write Significance of the Study (With Examples)

Table of Contents

What is the scope and delimitation of a research paper.

The “Scope and Delimitation” section states the concepts and variables your study covered. It tells readers which things you have included and excluded in your analysis.

This portion tells two things: 1

• The study’s “Scope” – concepts and variables you have explored in your research and;
• The study’s “Delimitation” – the “boundaries” of your study’s scope. It sets apart the things included in your analysis from those excluded.

For example, your scope might be the effectiveness of plant leaves in lowering blood sugar levels. You can “delimit” your study only to the effect of gabi leaves on the blood glucose of Swiss mice.

Where Should I Put the Scope and Delimitation?

This portion is in Chapter 1, usually after the “Background of the Study.”

Why Should I Write the Scope and Delimitation of My Research Paper?

There’s a lot to discover in a research paper or thesis. However, your resources and time dedicated to it are scarce. Thus, given these constraints, you have to narrow down your study. You do this in the Scope and Delimitation.

Suppose you’re studying the correlation between the quantity of organic fertilizer and plant growth . Experimenting with several types of plants is impossible because of several limitations. So, you’ve decided to use one plant type only. 

Informing your readers about this decision is a must. So, you have to state it in your Scope and Delimitation. It also acts as a “disclaimer” that your results are inapplicable to the entire plant kingdom.

What Is the Difference Between Delimitation and Limitation?

People often use the terms “Delimitation” and “Limitation” interchangeably. However, these words differ 2 .

Delimitation refers to factors you set to limit your analysis. It delineates those that are included in your research and those that are excluded. Remember, delimitations are within your control. 

Meanwhile, limitations are factors beyond your control that may affect your research’s results.  You can think of limitations as the “weaknesses” of your study. 

Let’s go back to our previous example. Due to some constraints, you’ve only decided to examine one plant type: dandelions. This is an example of a delimitation since it limits your analysis to dandelions only and not other plant types. Note that the number of plant types used is within your control. 

Meanwhile, your study cannot state that a higher quantity of organic fertilizer is the sole reason for plant growth. That’s because your research’s focus is only on correlation. Since this is already beyond your control, then this is a limitation. 

How To Write Scope and Delimitation: Step-by-Step Guide

To write your research’s Scope and Delimitation section, follow these steps:

1. Review Your Study’s Objectives and Problem Statement

Your study’s coverage relies on its objectives. Thus, you can only write this section if you know what you’re researching. Furthermore, ensure that you understand the problems you ought to answer. 

Once you understand the abovementioned things, you may start writing your study’s Scope and Delimitation.

2. State the Key Information To Explain Your Study’s Coverage and Boundaries

a. The Main Objective of the Research

This refers to the concept that you’re focusing on in your research. Some examples are the following:

• level of awareness or satisfaction of a particular group of people
• correlation between two variables
• effectiveness of a new product
• comparison between two methods/approaches
• lived experiences of several individuals

It’s helpful to consult your study’s Objectives or Statement of the Problem section to determine your research’s primary goal.

b. Independent and Dependent Variables Included

Your study’s independent variable is the variable that you manipulate. Meanwhile, the dependent variable is the variable whose result depends upon the independent variable. Both of these variables must be clear and specific when indicated. 

Suppose you study the relationship between social media usage and students’ language skills. These are the possible variables for the study:

• Independent Variable: Number of hours per day spent on using Facebook
• Dependent Variable: Grade 10 students’ scores in Quarterly Examination in English. 

Note how specific the variables stated above are. For the independent variable, we narrow it down to Facebook only. Since there are many ways to assess “language skills,” we zero in on the students’ English exam scores as our dependent variable. 

c. Subject of the Study

This refers to your study’s respondents or participants. 

In our previous example, the research participants are Grade 10 students. However, there are a lot of Grade 10 students in the Philippines. Thus, we have to select from a specific school only—for instance, Grade 10 students from a national high school in Manila. 

d. Timeframe and Location of the Study

Specify the month(s), quarter(s), or year(s) as the duration of your study. Also, indicate where you will gather the data required for your research. 

e. Brief Description of the Study’s Research Design and Methodology

You may also include whether your research is quantitative or qualitative, the sampling method (cluster, stratified, purposive) applied, and how you conducted the experiment.

Using our previous example, the Grade 10 students can be selected using stratified sampling. Afterward, the researchers may obtain their English quarterly exam scores from their respective teachers. You can add these things to your study’s Scope and Delimitation. 

3. Indicate Which Variables or Factors Are Not Covered by Your Research

Although you’ve already set your study’s coverage and boundaries in Step 2, you may also explicitly mention things you’ve excluded from your research. 

Returning to our previous example, you can state that your assessment will not include the vocabulary and oral aspects of the English proficiency skill. 

Examples of Scope and Delimitation of a Research Paper

1. scope and delimitation examples for quantitative research.

a. Example 1

Research Title

    A Study on the Relationship of the Extent of Facebook Usage on the English Proficiency Level of Grade 10 Students of Matagumpay High School

Scope and Delimitation

(Main Objective)

This study assessed the correlation between the respondents’ duration of Facebook usage and their English proficiency level. 

(Variables used)

The researchers used the number of hours per day of using Facebook and the activities usually performed on the platform to assess the respondents’ extent of Facebook usage. Meanwhile, the respondents’ English proficiency level is limited to their quarterly English exam scores. 

(Subject of the study)

A sample of fifty (50) Grade 10 students of Matagumpay High School served as the study’s respondents. 

(Timeframe and location)

This study was conducted during the Second Semester of the School Year 2018 – 2019 on the premises of Matagumpay High School in Metro Manila. 

(Methodology)

The respondents are selected by performing stratified random sampling to ensure that there will be ten respondents from five Grade 10 classes of the school mentioned above. The researchers administered a 20-item questionnaire to assess the extent of Facebook usage of the selected respondents. Meanwhile, the data for the respondents’ quarterly exam scores were acquired from their English teachers. The collected data are handled with the utmost confidentiality. Spearman’s Rank Order Correlation was applied to quantitatively assess the correlation between the variables.

(Exclusions)

This study didn’t assess other aspects of the respondents’ English proficiency, such as English vocabulary and oral skills. 

Note: The words inside the parentheses in the example above are guides only. They are not included in the actual text.

b. Example 2

  Level of Satisfaction of Grade 11 Students on the Implementation of the Online Learning Setup of Matagumpay High School for SY 2020 – 2021

This study aims to identify students’ satisfaction levels with implementing online learning setups during the height of the COVID-19 pandemic.

Students’ satisfaction was assessed according to teachers’ pedagogy, school policies, and learning materials used in the online learning setup. The respondents included sixty (60) Grade 11 students of Matagumpay High School who were randomly picked. The researchers conducted the study from October 2020 to February 2021. 

Online platforms such as email and social media applications were used to reach the respondents. The researchers administered a 15-item online questionnaire to measure the respondents’ satisfaction levels. Each response was assessed using a Likert Scale to provide a descriptive interpretation of their answers. A weighted mean was applied to determine the respondents’ general satisfaction. 

This study did not cover other factors related to the online learning setup, such as the learning platform used, the schedule of synchronous learning, and channels for information dissemination.

2. Scope and Delimitation Examples for Qualitative Research

  Lived Experiences of Public Utility Vehicle (PUV) Drivers of Antipolo City Amidst the Continuous June 2022 Oil Price Hikes

This research focused on the presentation and discussion of the lived experiences of PUV drivers during the constant oil price hike in June 2022.

The respondents involved are five (5) jeepney drivers from Antipolo City who agreed to be interviewed. The researchers assessed their experiences in terms of the following: (1) daily net income; (2) duration and extent of working; (3) alternative employment opportunity considerations; and (4) mental and emotional status. The respondents were interviewed daily at their stations on June 6 – 10, 2022. 

In-depth one-on-one interviews were used for data collection.  Afterward, the respondents’ first-hand experiences were drafted and annotated with the researchers’ insights. 

The researchers excluded some factors in determining the respondents’ experiences, such as physical and health conditions and current family relationship status. 

 A Study on the Perception of the Residents of Mayamot, Antipolo City on the Political and Socioeconomic Conditions During the Post-EDSA Period (1986 – 1996)

This research aims to discuss the perception of Filipinos regarding the political and socioeconomic economic conditions during the post-EDSA period, specifically during the years 1986 – 1996. 

Ten (10) residents of Mayamot, Antipolo City, who belonged to Generation X (currently 40 – 62 years old), were purposively selected as the study’s respondents. The researchers asked them about their perception of the following aspects during the period mentioned above (1) performance of national and local government; (2) bureaucracy and government services; (3) personal economic and financial status; and (4) wage purchasing power. 

The researchers conducted face-to-face interviews in the respondents’ residences during the second semester of AY 2018 – 2019. The responses were written and corroborated with the literature on the post-EDSA period. 

The following factors were not included in the research analysis: political conflicts and turmoils, the status of the legislative and judicial departments, and other macroeconomic indicators. 

Tips and Warnings

1. use the “5ws and 1h” as your guide in understanding your study’s coverage.

• Why did you write your study?  
• What variables are included?
• Who are your study’s subject
• Where did you conduct the study?
• When did your study start and end?
• How did you conduct the study?

2. Use key phrases when writing your research’s scope

• This study aims to … 
• This study primarily focuses on …
• This study deals with … 
• This study will cover …
• This study will be confined…

3. Use key phrases when writing factors beyond your research’s delimitations

• The researcher(s) decided to exclude …
• This study did not cover….
• This study excluded … 
• These variables/factors were excluded from the study…

4. Don’t forget to ask for help

Your research adviser can assist you in selecting specific concepts and variables suitable to your study. Make sure to consult him/her regularly. 

5. Make it brief

No need to make this section wordy. You’re good to go if you meet the “5Ws and 1Hs”. 

Frequently Asked Questions

1. what are scope and delimitation in tagalog.

In a Filipino research ( pananaliksik ), Scope and Delimitation is called “ Saklaw at Delimitasyon”. 

Here’s an example of Scope and Delimitation in Filipino:

Pamagat ng Pananaliksik

Epekto Ng Paggamit Ng Mga Digital Learning Tools Sa Pag-Aaral Ng Mga Mag-Aaral Ng Mataas Na Paaralan Ng Matagumpay Sa General Mathematics

Sakop at Delimitasyon ng Pag-aaral

Nakatuon ang pananaliksik na ito sa epekto ng paggamit ng mga digital learning aids sa pag-aaral ng mga mag-aaral.

Ang mga digital learning tools na kinonsidera sa pag-aaral na ito ay Google Classroom, Edmodo, Kahoot, at mga piling bidyo mula YouTube. Samantala, ang epekto sa pag-aaral ng mga mag-aaral ng mga nabanggit na digital learning tools ay natukoy sa pamamagitan ng kanilang (1) mga pananaw hinggil sa benepisyo nito sa kanilang pag-aaral sa General Mathematics at (2) kanilang average grade sa asignaturang ito.

Dalawampu’t-limang (25) mag-aaral mula sa Senior High School ng Mataas na Paaralan ng Matagumpay ang pinili para sa pananaliksik na ito. Sila ay na-interbyu at binigyan ng questionnaire noong Enero 2022 sa nasabing paaralan. Sinuri ang resulta ng pananaliksik sa pamamagitan ng mga instrumentong estadistikal na weighted mean at Analysis of Variance (ANOVA). Hindi saklaw ng pananaliksik na ito ang ibang mga aspeto hinggil sa epekto ng online learning aids sa pag-aaral gaya ng lebel ng pag-unawa sa aralin at kakayahang iugnay ito sa araw-araw na buhay. 

2. The Scope and Delimitation should consist of how many paragraphs?

Three or more paragraphs will suffice for your study’s Scope and Delimitation. Here’s our suggestion on what you should write for each paragraph:

Paragraph 1: Introduction (state research objective) Paragraph 2: Coverage and boundaries of the research (you may divide this section into 2-3 paragraphs) Paragraph 3 : Factors excluded from the study

• University of St. La Salle. Unit 3: Lesson 3 Setting the Scope and Limitation of a Qualitative Research [Ebook] (p. 12). Retrieved from https://www.studocu.com/ph/document/university-of-st-la-salle/senior-high-school/final-sg-pr1-11-12-unit-3-lesson-3-setting-the-scope-and-limitation-of-a-qualitative-research/24341582
• Theofanidis, D., & Fountouki, A. (2018). Limitations and Delimitations in the Research Process. Perioperative Nursing (GORNA), 7(3), 155–162. doi: 10.5281/zenodo.2552022

Written by Jewel Kyle Fabula

in Career and Education , Juander How

Last Updated May 6, 2023 09:59 AM

Jewel Kyle Fabula

Jewel Kyle Fabula is a Bachelor of Science in Economics student at the University of the Philippines Diliman. His passion for learning mathematics developed as he competed in some mathematics competitions during his Junior High School years. He loves cats, playing video games, and listening to music.

Browse all articles written by Jewel Kyle Fabula

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Time is an important element of any research design, and here I want to introduce one of the most fundamental distinctions in research design nomenclature: cross-sectional versus longitudinal studies. A cross-sectional study is one that takes place at a single point in time. In effect, we are taking a ‘slice’ or cross-section of whatever it is we’re observing or measuring. A longitudinal study is one that takes place over time – we have at least two (and often more) waves of measurement in a longitudinal design.

A further distinction is made between two types of longitudinal designs: repeated measures and time series . There is no universally agreed upon rule for distinguishing these two terms, but in general, if you have two or a few waves of measurement, you are using a repeated measures design. If you have many waves of measurement over time, you have a time series . How many is ‘many’? Usually, we wouldn’t use the term time series unless we had at least twenty waves of measurement, and often far more. Sometimes the way we distinguish these is with the analysis methods we would use. Time series analysis requires that you have at least twenty or so observations. Repeated measures analyses (like repeated measures ANOVA) aren’t often used with as many as twenty waves of measurement.

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How to Write Limitations of the Study (with examples)

This blog emphasizes the importance of recognizing and effectively writing about limitations in research. It discusses the types of limitations, their significance, and provides guidelines for writing about them, highlighting their role in advancing scholarly research.

Updated on August 24, 2023

No matter how well thought out, every research endeavor encounters challenges. There is simply no way to predict all possible variances throughout the process.

These uncharted boundaries and abrupt constraints are known as limitations in research . Identifying and acknowledging limitations is crucial for conducting rigorous studies. Limitations provide context and shed light on gaps in the prevailing inquiry and literature.

This article explores the importance of recognizing limitations and discusses how to write them effectively. By interpreting limitations in research and considering prevalent examples, we aim to reframe the perception from shameful mistakes to respectable revelations.

What are limitations in research?

In the clearest terms, research limitations are the practical or theoretical shortcomings of a study that are often outside of the researcher’s control . While these weaknesses limit the generalizability of a study’s conclusions, they also present a foundation for future research.

Sometimes limitations arise from tangible circumstances like time and funding constraints, or equipment and participant availability. Other times the rationale is more obscure and buried within the research design. Common types of limitations and their ramifications include:

• Theoretical: limits the scope, depth, or applicability of a study.
• Methodological: limits the quality, quantity, or diversity of the data.
• Empirical: limits the representativeness, validity, or reliability of the data.
• Analytical: limits the accuracy, completeness, or significance of the findings.
• Ethical: limits the access, consent, or confidentiality of the data.

Regardless of how, when, or why they arise, limitations are a natural part of the research process and should never be ignored . Like all other aspects, they are vital in their own purpose.

Why is identifying limitations important?

Whether to seek acceptance or avoid struggle, humans often instinctively hide flaws and mistakes. Merging this thought process into research by attempting to hide limitations, however, is a bad idea. It has the potential to negate the validity of outcomes and damage the reputation of scholars.

By identifying and addressing limitations throughout a project, researchers strengthen their arguments and curtail the chance of peer censure based on overlooked mistakes. Pointing out these flaws shows an understanding of variable limits and a scrupulous research process.

Showing awareness of and taking responsibility for a project’s boundaries and challenges validates the integrity and transparency of a researcher. It further demonstrates the researchers understand the applicable literature and have thoroughly evaluated their chosen research methods.

Presenting limitations also benefits the readers by providing context for research findings. It guides them to interpret the project’s conclusions only within the scope of very specific conditions. By allowing for an appropriate generalization of the findings that is accurately confined by research boundaries and is not too broad, limitations boost a study’s credibility .

Limitations are true assets to the research process. They highlight opportunities for future research. When researchers identify the limitations of their particular approach to a study question, they enable precise transferability and improve chances for reproducibility. 

Simply stating a project’s limitations is not adequate for spurring further research, though. To spark the interest of other researchers, these acknowledgements must come with thorough explanations regarding how the limitations affected the current study and how they can potentially be overcome with amended methods.

How to write limitations

Typically, the information about a study’s limitations is situated either at the beginning of the discussion section to provide context for readers or at the conclusion of the discussion section to acknowledge the need for further research. However, it varies depending upon the target journal or publication guidelines. 

Don’t hide your limitations

It is also important to not bury a limitation in the body of the paper unless it has a unique connection to a topic in that section. If so, it needs to be reiterated with the other limitations or at the conclusion of the discussion section. Wherever it is included in the manuscript, ensure that the limitations section is prominently positioned and clearly introduced.

While maintaining transparency by disclosing limitations means taking a comprehensive approach, it is not necessary to discuss everything that could have potentially gone wrong during the research study. If there is no commitment to investigation in the introduction, it is unnecessary to consider the issue a limitation to the research. Wholly consider the term ‘limitations’ and ask, “Did it significantly change or limit the possible outcomes?” Then, qualify the occurrence as either a limitation to include in the current manuscript or as an idea to note for other projects. 

Writing limitations

Once the limitations are concretely identified and it is decided where they will be included in the paper, researchers are ready for the writing task. Including only what is pertinent, keeping explanations detailed but concise, and employing the following guidelines is key for crafting valuable limitations:

1) Identify and describe the limitations : Clearly introduce the limitation by classifying its form and specifying its origin. For example:

• An unintentional bias encountered during data collection
• An intentional use of unplanned post-hoc data analysis

2) Explain the implications : Describe how the limitation potentially influences the study’s findings and how the validity and generalizability are subsequently impacted. Provide examples and evidence to support claims of the limitations’ effects without making excuses or exaggerating their impact. Overall, be transparent and objective in presenting the limitations, without undermining the significance of the research. 

3) Provide alternative approaches for future studies : Offer specific suggestions for potential improvements or avenues for further investigation. Demonstrate a proactive approach by encouraging future research that addresses the identified gaps and, therefore, expands the knowledge base.

Whether presenting limitations as an individual section within the manuscript or as a subtopic in the discussion area, authors should use clear headings and straightforward language to facilitate readability. There is no need to complicate limitations with jargon, computations, or complex datasets.

Examples of common limitations

Limitations are generally grouped into two categories , methodology and research process .

Methodology limitations

Methodology may include limitations due to:

• Sample size
• Lack of available or reliable data
• Lack of prior research studies on the topic
• Measure used to collect the data
• Self-reported data

The researcher is addressing how the large sample size requires a reassessment of the measures used to collect and analyze the data.

Research process limitations

Limitations during the research process may arise from:

• Access to information
• Longitudinal effects
• Cultural and other biases
• Language fluency
• Time constraints

The author is pointing out that the model’s estimates are based on potentially biased observational studies.

Final thoughts

Successfully proving theories and touting great achievements are only two very narrow goals of scholarly research. The true passion and greatest efforts of researchers comes more in the form of confronting assumptions and exploring the obscure.

In many ways, recognizing and sharing the limitations of a research study both allows for and encourages this type of discovery that continuously pushes research forward. By using limitations to provide a transparent account of the project's boundaries and to contextualize the findings, researchers pave the way for even more robust and impactful research in the future.

Charla Viera, MS

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Pacemaker powered by light eliminates need for batteries and allows the heart to function more naturally − new research

Ph.D. Candidate in Molecular Engineering, University of Chicago Pritzker School of Molecular Engineering

Disclosure statement

Pengju Li consults to the Pritzker School of Molecular Engineering. He receives funding from the University of Chicago.

University of Chicago Pritzker School of Molecular Engineering provides funding as a member of The Conversation US.

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By harnessing light, my colleagues and I designed a wireless, ultrathin pacemaker that operates like a solar panel. This design not only eliminates the need for batteries but also minimizes disruptions to the heart’s natural function by molding to its contours. Our research, recently published in the journal Nature , offers a new approach to treatments that require electrical stimulation, such as heart pacing.

Pacemakers are medical devices implanted in the body to regulate heart rhythms. They’re composed of electronic circuits with batteries and leads anchored to the heart muscle to stimulate it. However, leads can fail and damage tissue. The location of the leads can’t be changed once they’re implanted, limiting access to different heart regions. Because pacemakers use rigid, metallic electrodes, they may also damage tissue when restarting the heart after surgery or regulating arrhythmia .

Our team envisioned a leadless and more flexible pacemaker that could precisely stimulate multiple areas of the heart. So we designed a device that transforms light into bioelectricity , or heart cell-generated electrical signals. Thinner than a human hair, our pacemaker is made of an optic fiber and silicon membrane that the Tian lab and colleagues at the University of Chicago Pritzker School of Molecular Engineering have spent years developing.

Unlike conventional solar cells that are usually designed to collect as much energy as possible, we tweaked our device to generate electricity only at points where light strikes so it can precisely regulate heartbeats. We did this by using a layer of very small pores that can trap light and electrical current. Only cardiac muscles exposed to light-activated pores are stimulated.

Because our device is so small and light, it can be implanted without opening the chest. We were able to successfully implant it in the hearts of rodents and an adult pig, pacing the beats of different heart muscles. Because pig hearts are anatomically similar to human hearts, this accomplishment shows our device’s potential to translate to people.

Why it matters

Heart disease is the leading cause of death around the world . Annually, over 2 million people undergo open-heart surgery to treat heart problems, including to implant devices that regulate heart rhythms and prevent heart attacks.

Our ultralight device gently conforms to the surface of the heart, enabling less invasive stimulation and improved pacing and synchronized contraction. To reduce postoperative trauma and recovery time, our device can be implanted with a minimally invasive technique.

What still isn’t known

Currently, our technology is best first used for urgent heart conditions, including restarting the heart after surgery, heart attack and ventricular defibrillation. We continue to explore its long-term effects and durability in the human body.

The body’s internal environment is rich in fluids that are disturbed by the heart’s constant mechanical motion. This could potentially compromise the device’s functionality over time.

Moreover, researchers don’t fully understand how the body reacts to prolonged exposure to medical devices. The formation of scar tissue around the device after implantation can diminish its sensitivity. We are developing special surface treatments and biomaterial coatings to decrease the likelihood of rejection.

Although the breakdown of our device results in a nontoxic substance the body can safely absorb called silicic acid , evaluating how the body responds to extended implantation is essential to ensure safety and effectiveness.

What’s next

To achieve long-term implantation and tailor the device to each patient, we are refining the rate at which it dissolves naturally in the body. We are exploring enhancements to make the device compatible as a wearable pacemaker. This involves integrating a wireless light-emitting diode, or LED, beneath the skin that is connected to the device via an optical fiber.

Our ultimate goal is to broaden the scope of what we call photoelectroceuticals beyond cardiac care. This includes neurostimulation , neuroprostheses and pain management to treat neurodegenerative conditions such as Parkinson’s disease .

The Research Brief is a short take on interesting academic work.

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Money blog: What makes up the cost of a £6 pint - and how much is profit?

The cost of draught lager has gone up nearly 30% since January 2019, according to the Office for National Statistics. Read this and more in the Money blog, your place for personal finance news. Leave a comment on stories we've covered, or a question for our experts, in the form below.

Thursday 4 April 2024 13:21, UK

• British Savings Bonds announced in the budget go on sale - but experts aren't convinced
• What makes up the cost of a £6 pint - and how much is profit?
• How to make your money work harder while it's sat in your current account
• How much will your take-home pay increase this month with NI cut? Use our calculator
• 'Are they going to go around sniffing people?' Big Issue founder says government has 'lost the plot' over homelessness plan
• Eight big price hikes this week - and six boosts to Britons' pockets
• All the places kids can eat cheap or free this Easter

Ask a question or make a comment

Ted Baker is the latest in a string of high-street giants to call in administrators in recent years. 

But how does it affect you? 

Let's use Ted Baker as an example. 

Purchases and returns

You can still purchase online or walk into a Ted Baker shop and buy items, but you could run into trouble returning them. 

If the retailer stops trading, it may not be able to get your money back to you.

If that is the case, you would have to file a claim with Teneo (Ted Baker's administrator) to join a list of creditors owed money by Ted Baker – and even then there's no guarantee you'd get your money back.

You could also file a claim with your debit or credit card provider - but again, no guarantees. 

TL;DR: If you have one - use it as soon as possible. 

Teneo has made no changes to the way gift cards can be used at Ted Baker, but as is the case with all administrators, it can change the terms and conditions at will. 

As above, if you lose out on cash because of a company going into administration, you can raise it with the administrators themselves. 

Credits and debits

As we mentioned earlier, you can file a claim with your debit or credit card provider to recover lost funds - but how exactly does that work?

• Credit card:  If you bought any single item costing between £100-£30,000 and paid on a credit card, the card firm is liable if something goes wrong. If any purchase was less than £100, you may still be able to get your money back via chargeback
• Debit card:  Under chargeback, your bank can try to get your money back from Ted Baker's bank. However, be aware that this is not a legal requirement and it can later be disputed and recalled back to Ted Baker's bank

A US state is considering a bill giving employees the right not to respond to calls, emails and texts from their bosses outside of paid work hours.

The so-called "right to disconnect" would allow California's labour commission to fine employers for interrupting personal time, reports our partner network NBC News.

The bill makes exceptions for emergencies, scheduling and collective bargaining.

The state's Chamber of Commerce called the proposed legislation a step backwards for flexibility.

However, Professor Amira Barger told NBC the changes would help tackle an "epidemic of burnout" and were a "necessary adaptation" for the future of work.

The planned £15bn mega-merger of UK mobile networks Vodafone and Three is to face an in-depth investigation by the competition watchdog.

The Competition and Markets Authority confirmed it will launch a so-called Phase 2 probe after both firms told the regulator they would not be offering measures to ease its concerns ahead of the deadline, 2 April.

The CMA said last month that the tie-up could have a "substantial" impact on competition, warning it may lead to higher prices and reduced quality.

Read more in our full story .

School strikes over teachers' pay and funding could be staged in September, the leader of a teaching union has warned.

Daniel Kebede, general secretary of the National Education Union (NEU), the largest education union in the UK, did not rule out launching a ballot on walkouts for the autumn term.

Teachers at the NEU’s annual conference in Bournemouth will vote today on whether the union should "build capacity" to deliver national industrial action.

Ofgem is considering plans for rules on the use of artificial intelligence in the energy industry amid fears the technology could risk "tacit collusion", reports  The Times.

Algorithms that make pricing decisions for companies would make it more difficult to identify who is accountable when it comes to competition issues, the regulator said.

Customers also need to be protected from higher-risk AI used to help balance supply and demand that could cause power outages if they fail.

By Daniel Binns, business reporter

The FTSE 100 is up more than 0.4% this morning, after a rise in the price of gold boosted precious metal mining firms.

Also up is British fintech Cab Payments. Its shares have shot up 11% in early trading.

It comes after the firm secured a payment provider licence in the Netherlands, paving the way for it to expand in the country.

Meanwhile, the cost of oil continues to slowly creep up in the wake of investor concerns over the Middle East and Ukraine's attacks on Russian refineries.

A barrel of Brent crude is currently trading at just over $89 (£70).

The currency markets remain stable, with £1 buying you $1.26 US or €1.17, with the rates almost unchanged from yesterday.

Google is considering charging for premium AI-powered features, the Financial Times reports.

It would be the first time the tech giant put any core products behind a paywall, as it seeks to gain ground in the fast-moving AI space

The FT cited sources familiar with Google's plans as saying it could incorporate a generative AI-powered search engine in its subscription services, which already provide access to its new Gemini AI assistant in Gmail and Docs.

Google's traditional search engine would remain free of charge and ads would continue to appear alongside search results even for subscribers.

"We're not working on or considering an ad-free search experience. As we've done many times before, we'll continue to build new premium capabilities and services to enhance our subscription offerings across Google," the company told Reuters.

Google, which invented the foundational technology for today's AI boom, is locked in battle with two industry players that have captured the business world's attention - ChatGPT's creator OpenAI and its backer Microsoft.

Every Thursday we look at a different savings option, explain the pros and cons, and reveal the best deals on the market (see table below for that).  This week we're talking about the top interest-paying current accounts. Savings Champion founder Anna Bowes  writes...

From time to time there are plenty of incentives available to attempt to encourage people to switch their current accounts - but switching is not always necessary. There are also some current accounts that offer competitive interest rates, even if there's not a switching incentive. 

While not as prevalent as they have been in the recent past, interest-paying current accounts can offer some very competitive interest rates – especially bearing in mind that most current accounts offer no interest at all. In fact, according to the Bank of England, there is £253bn currently held in these non-interest bearing accounts.

These accounts are usually more complicated than a traditional savings account and there are a number of hoops to jump through and potential hazards to avoid, in order to get the returns on offer. 

Potential traps to look out for are: low maximum balances, introductory rates, monthly fees, a requirement to set up direct debits, a minimum amount to pay in each month and a minimum amount to maintain in the account.

All of these factors need to be taken into account when choosing an account and if you feel that you may fall foul of the rules, take a look at one of the alternatives that will suit your circumstances better. 

Setting up standing orders is an easy way to ensure you deposit and withdraw the qualifying amounts each month and can be effective in managing multiple current accounts. It may take a while to set it all up, but the rates on offer could make it worthwhile. It is also worth remembering that many of these accounts can be opened without having to switch your main current account. 

A final point to bear in mind is that some of these accounts give you access to exclusive savings accounts, which often pay competitive rates - especially true with regular savings accounts.

By Ollie Cooper, Money team

Many of us have noticed the price of pints creeping up in recent years. 

The cost of draught lager has gone up nearly 30% since January 2019, according to the Office for National Statistics.

The ONS says the cost of the average pint in Britain is £4.70 (it was £3.67 in January 2019), but many pubs frequently sell beers for over £5, £6 or even £7 in cities like London, Edinburgh and Brighton. 

The beer doesn't taste any different despite the increase in price - so where exactly does that £6-7 for a pint go? 

Sky News spoke with management at The Duke of Greenwich pub in Greenwich, London, for some insight. 

A pint of The Duke of Greenwich's eponymous lager costs £6 - but just 83p (about 13.8% of the cost to the consumer) is profit for the pub.

They pay the brewery £1.36 per pint and allow for 5% wastage - which people in the industry say is perhaps a little on the low side, given the number of top-ups and over-lively pints poured. 

Nearly 30%, or £1.76, of your £6 goes towards paying staff - with hospitality wages needing to rise given inflation, the national minimum wage and in order for pubs, restaurants and cafes to compete in the worsening inter-industry dogfight for employees. 

£1.16 may seem steep for rent and utilities per pint - but remember they aren't just paying for the building and the lights. They also need to wash your glass with very hot water using a dishwasher or glass cleaner, provide heating for punters, water for the bathrooms and electricity across the wider pub for bandits (aka trusty fruit machines), music and for that bloke at the bar to charge his phone. 

No one will need reminding that there's a cost of living crisis that affects pubs as much as everyone else. 

There's also beer gas that needs to be paid for. 

This goes some way towards explaining why pubs charge so much - they simply have to survive. 

More expensive means more profit, right?

As you go further up the scale, the trend continues. 

Despite a pint of Crush IPA by the Drop Project Brewery in Mitcham costing £1.80 more than the lager (£7.80), there's actually a decrease in the profit margin - from around 13.8% to around 12.7%. 

Less than £1 of that £7.80 is profit for the pub itself - and this is before we've accounted for extra expenses like refurbishments, cleaners, breakages, expired products, etc. 

While being aware of these facts may not make you wince any less when that card machine turns around, you will have a better idea of where that money is going. 

British Savings Bonds, which were announced in the budget, have gone on sale.

The bonds, issued by the Treasury-backed NS&I, offer a fixed rate for three years - and the rate has been revealed at 4.15%.

This has left experts feeling a little underwhelmed.

Savings Champion founder Anna Bowes gave us her view: "In essence, this is simply a re-issuance of the NS&I three-year Guaranteed Income and Guaranteed Growth bonds, rather than anything new or British.

"As was reported just after the budget and as is often the case with NS&I products, while the interest rate is not rock bottom it’s mid-table, so is likely to still be utilised, especially for those rolling over old bonds, and those with more than the FSCS limit of £85,000, because of course all cash held with NS&I is guaranteed by HM Treasury.

"NS&I is a trusted institution so will always be popular, but savers can earn quite a lot more if they shop around and perhaps choose a provider they are less familiar with."

The Guaranteed Growth Bond option is available at 4.15% and the Guaranteed Income Bond option has a rate of 4.07%.

Funds of between £500 and £1 million can be invested, with the money locked in for the duration of the three-year term.

The investments have 100%, Treasury-backed security, and are invested back into the country via government financing.

British Savings Bonds can be purchased online at nsandi.com .

Those looking for three-year deals can find a range of options with rates above 4.60% AER in the wider market, according to Moneyfactscompare.co.uk .

Bonds with shorter terms also offer higher rates, such as 5.25% AER for a one-year deal or 5.10% for a two-year deal.

Rachel Springall, a finance expert at Moneyfactscompare.co.uk , said: "As it stands, savers can get an account that pays more than 5% on either an easy access account or fixed-rate bond. As has been evident, fixed rates on savings accounts are coming down, so the deals that sit towards the top of the market will likely be in high demand."

Bim Afolami, economic secretary to the Treasury, said: "This is a new opportunity for UK savers to benefit from the three-year fixed-rate British Savings Bonds knowing that their money is fully protected by HM Treasury.

"The bonds will help to grow the savings culture in the UK while providing cost-effective financing for the government."

More than one in three UK water employees has reported being verbally abused at work, according to GMB Union.

A survey of almost 1,300 staff found industry workers have been physically assaulted and unsafe working alone, the Guardian reported.

The survey comes after backlash to news of sewage dumping practices.

The government has declined to launch a public inquiry into Thurrock council's bankruptcy , the Financial Times reports.

Residents had petitioned for an investigation into the Conservative-run Essex council.

But minister for local government Simon Hoare said a best value inspection report published last year was an effective way to look into the issue.

Co-op is reintroducing the  remote wine-tastings  first piloted during lockdown.

Winemakers will host sessions to members each month over Zoom following demand from customers, according to the supermarket.

Participants will receive advance notice of which wines will be the subject of the tastings.

Superdrug has axed the cost of VAT from its own-brand sun care range.

The retailer says the products should be deemed a healthcare essential and not a beauty treatment, and believes all sun protection should be exempt from the 20% levy.

The UK government is coming under increasing pressure to remove VAT on all sun care after a rise in calls for donations of such products, with some having to go without sun protection completely. 

The reduction is expected to save consumers around £1m.

Jamie Archer, own brand director at Superdrug, said: "Sun cream is currently classed as a cosmetic product and therefore carries the VAT associated with it, making it unaffordable for some people.

"We believe that everyone should have access to the products that protect their health and wellbeing and at an affordable price. 

"Therefore, we're proud to support our customers by removing 20% from our sun care range for a second year."

The cut means Solait Sun Cream SPF50 (200ml) costs £3.59 and the Solait Kid’s Roll-on Sun Cream SPF50+ (75ml) £2.79.

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Office of the Vice President for Research

Ovpr announces recipients of 2024 discovery and innovation awards.

The Office of the Vice President for Research (OVPR) is honoring 11 faculty and staff for their exceptional contributions to research, scholarship, and creative activity as part of the 2024 Discovery and Innovation Awards .

“ The winners represent the best and the brightest of our University of Iowa faculty and staff, who are making an impact across a range of disciplines,”  said Marty Scholtz, vice president for research. “Their research and scholarship enhance undergraduate and graduate education on campus, and their efforts to expand the frontiers of discovery betters our community, state, and world.”

The OVPR solicited nominations from across campus for the awards, which include: Scholar of the Year, Early Career Scholar of the Year, Leadership in Research, and awards that recognize achievement in communicating scholarship with public audiences, community engagement, arts and humanities, mentorship, research administration and safety. A campuswide event on April 30 will celebrate the winners.

Faculty Awards

Jun Wang , James E. Ashton Professor and interim departmental executive officer in the College of Engineering’s

 Department of Chemical and Biochemical Engineering, is the 2024 Scholar of the Year . The award celebrates nationally recognized recent achievement in outstanding research, scholarship, and/or creative activities. 

Wang’s research centers on the development of novel remote sensing techniques to characterize aerosols and fires from space. He serves as the University of Iowa’s lead investigator on NASA’s TEMPO, Tropospheric Emissions: Monitoring Pollution, which Time magazine named one of its best inventions of 2023. 

“Professor Wang's scholarly endeavors over the past two years stand out as a paradigm of excellence, serving as an exemplary model for both emerging and seasoned faculty members to aspire toward,” said Karim Abdel-Malek, professor of biomedical engineering and director of the Iowa Technology Institute.

James Byrne , assistant professor of radiation oncology in the Carver College of Medicine ( CCOM ), is the 2024 Early Career Scholar of the Year . The award honors assistant professors who are currently involved in research, scholarship, and/or creative activity and show promise of making a significant contribution to their field. 

As a physician scientist, Byrne continues to care for patients while developing novel biomedical therapies for cancer, finding inspiration in everything from latte foam to tardigrades. In his first two years as faculty at the UI, he has earned more that $2.5M in external research funding, including a K08 award from the NIH.

“Dr. Byrne’s scientific creativity stems from both an active and curious mind as well as his ability to bridge diverse fields from engineering to biology to medicine,” said Michael Henry, professor and interim director of the Holden Comprehensive Cancer Center. “These interdisciplinary boundaries are where some of the most interesting and important work is happening today.”

Donna Santillan , research professor and director of the Division of Reproductive Science Research in the CCOM Department of Obstetrics and Gynecology, received the Leadership in Research Award , which recognizes research and scholarly accomplishments throughout a career. 

While Santillan’s research has spanned across the field of reproductive science, she has a particular interest in the deadly diseases of pregnancy, including preeclampsia and its intergenerational effects. She designed and directs the Women’s Health Tissue Repository. Santillan’s work has been cited more than 2,700 times, and she has mentored 114 early career scientists and students, a testament to her expansive impact.

“Dr. Santillan has consistently demonstrated an unwavering commitment to fostering the professional and personal development of trainees in research, including myself,” said Banu Gumusoglu, assistant professor of obstetrics and gynecology. “Her mentorship extends beyond the confines of traditional academic settings, touching the lives of many aspiring trainees from high school through residency, clinical fellowship, and faculty levels.”

Stephen Warren , professor of history and American studies in the College of Liberal Arts and Sciences (CLAS), received the Distinguished Achievement in Publicly Engaged Research Award . The award recognizes an individual faculty member who has put addressing public needs and direct engagement with the public, in the service of improving quality of life through research, at the forefront of his or her academic activities.

A prolific scholar of Native American culture, Warren’s research has centered on the Shawnee people of Oklahoma for the past two decades. He has published four books and co-authored the most recent one , Replanting Cultures: Community-Engaged Scholarship in Indian Country, with Chief Benjamin Barnes of the Shawnee Tribe. 

“Over the last two decades, Professor Warren has established himself as a leading community-engaged scholar, and his achievements in research and publishing demonstrate that community engagement and strong scholarship are not mutually exclusive,” said Nick Benson, director of the Office of Community Engagement. “Professor Warren’s work serves as an inspiration for researchers at Iowa and nationally who seek not only to make a difference in academia, but also in our communities.”

Kaveh Akbar , associate professor of English in CLAS, received the Distinguished Achievement in Arts and Humanities Research Award . This award honors distinguished achievement in humanities scholarship and work in the creative, visual and performing arts. 

Akbar joined Iowa in 2022 to serve as the director of the English and creative writing major. In January, his new novel, Martyr!, was published to critical acclaim. Akbar previously published two prize-winning poetry collections and has served as poetry editor for The Nation  since 2021. 

“Akbar’s leadership in the profession and on campus continues: his transformative work in our department not only enriches the academic experiences of 700+ English and creative writing majors, but also enhances the profile of UI as ‘The Writing University,’” said Blaine Greteman, professor and departmental executive officer of the Department of English.

Cara Hamann , associate professor of epidemiology, received the Faculty Communicating ideas Award . This award recognizes excellence in communication about research and scholarship in the sciences and humanities and the study of creative, visual, and performing arts to a general audience directly or via print and electronic media.

Hamann has frequently shared her work on transportation issues, including teen driving, bike and scooter safety, and pedestrian safety, through peer-reviewed journals and extensive media outreach. Her recent op-ed, “The most deadly traffic policy you’ve never heard of leaves you vulnerable, too,” drew widespread attention to a legal loophole in crosswalk laws and appeared in more than 50 news outlets nationwide, including USA Today .

“Dr. Hamann’s work is not only academically rigorous but also accessible and impactful to a

wide audience,” said Diane Rohlman, associate dean for research in the College of Public Health. “Her ability to communicate with clarity, creativity, and passion coupled with her extensive media outreach, exemplifies how she utilizes multiple approaches to address transportation challenges impacting society.”

Bob McMurray , F. Wendell Miller Professor in the Department of Psychological and Brain Sciences, and Caroline Clay , assistant professor of acting in the Department of Theatre Arts, were recipients of the Office of Undergraduate Research (OUR) Distinguished Mentor Awards . The awards honors mentors’ dedication to making their students research experiences successful.

“I can’t imagine my research journey without Bob’s welcoming kindness, thriving lab community, and confident mentorship, and I am so deeply grateful for his impact on me,” said Hannah Franke, a psychology and linguistics major mentored by McMurray.

“I know I am far from the only student whose life has been impacted by Caroline Clay,” said Isabella Hohenadel, a second-year theatre arts major. “She deserves to be recognized of all of the wonderful work she does and how much she cares about us as students. I cannot think of anyone more deserving of recognition than her.”

Staff Awards

Angie Robertson , department administrator for CCOM’s Department of Microbiology and Immunology, received the Distinguished Research Administrator Award . The award recognizes staff members who performed exceptional service in support of research at the UI by exploring funding opportunities, assisting in grant proposal preparation, submission, post-award administration, and operational support. 

In addition to overseeing every aspect of daily operations for the department, Robertson manages nearly 100 research grants for the department and three longstanding NIH T32 training grants. 

“Angie plays a leading role in our department office, inspiring us to achieve all aspects of our missions ,” said Li Wu, professor and department chair. “She is innovative, collaborative, accountable, and respectful  in her daily work. She exceeds any expectations and sets a great example for staff members in the department.”

Min Zhu , research specialist in the Iowa Institute for Oral Health Research (IIOHR) within the College of Dentistry, received the Distinguished Research Professional Award . The award recognizes staff members who performed exceptional service in support of research at the UI by conducting experiments, collecting, and analyzing results and performing operational duties associated with a laboratory or research program. 

Zhu has worked as a lab bench scientist in the College of Dentistry since 2006, executing experimental work for grants and other research, working closely with IIOHR faculty members, overseeing lab maintenance and environmental health and safety efforts. 

“Beyond her research skills, Dr. Zhu has been an exceptional mentor and educator for my students and other junior researchers,” said Liu Hong, professor of prosthodontics. “Her kindness and willingness to share her knowledge have made her a beloved figure among them.”

Curtis Iberg , manager of sterilization services in the College of Dentistry, received the Innovation in Safety Award, which celebrates exceptional and ground-breaking innovations that advance safety at the UI. Iberg led a major renovation of the College of Dentistry’s instrument processing and sterilization area, with the aim of encouraging better workflow and support for future growth. 

“His innovations in workspace are a valuable asset to the greater University and demonstrates that the most important people to be involved in a space renovation are those that use the area because they can see how the facility can better function and how it can be designed for future needs,” said Kecia Leary, associate dean of clinics.

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What the Data Says About Pandemic School Closures, Four Years Later

The more time students spent in remote instruction, the further they fell behind. And, experts say, extended closures did little to stop the spread of Covid.

By Sarah Mervosh ,  Claire Cain Miller and Francesca Paris

Four years ago this month, schools nationwide began to shut down, igniting one of the most polarizing and partisan debates of the pandemic.

Some schools, often in Republican-led states and rural areas, reopened by fall 2020. Others, typically in large cities and states led by Democrats, would not fully reopen for another year.

A variety of data — about children’s academic outcomes and about the spread of Covid-19 — has accumulated in the time since. Today, there is broad acknowledgment among many public health and education experts that extended school closures did not significantly stop the spread of Covid, while the academic harms for children have been large and long-lasting.

While poverty and other factors also played a role, remote learning was a key driver of academic declines during the pandemic, research shows — a finding that held true across income levels.

Source: Fahle, Kane, Patterson, Reardon, Staiger and Stuart, “ School District and Community Factors Associated With Learning Loss During the COVID-19 Pandemic .” Score changes are measured from 2019 to 2022. In-person means a district offered traditional in-person learning, even if not all students were in-person.

“There’s fairly good consensus that, in general, as a society, we probably kept kids out of school longer than we should have,” said Dr. Sean O’Leary, a pediatric infectious disease specialist who helped write guidance for the American Academy of Pediatrics, which recommended in June 2020 that schools reopen with safety measures in place.

There were no easy decisions at the time. Officials had to weigh the risks of an emerging virus against the academic and mental health consequences of closing schools. And even schools that reopened quickly, by the fall of 2020, have seen lasting effects.

But as experts plan for the next public health emergency, whatever it may be, a growing body of research shows that pandemic school closures came at a steep cost to students.

The longer schools were closed, the more students fell behind.

At the state level, more time spent in remote or hybrid instruction in the 2020-21 school year was associated with larger drops in test scores, according to a New York Times analysis of school closure data and results from the National Assessment of Educational Progress , an authoritative exam administered to a national sample of fourth- and eighth-grade students.

At the school district level, that finding also holds, according to an analysis of test scores from third through eighth grade in thousands of U.S. districts, led by researchers at Stanford and Harvard. In districts where students spent most of the 2020-21 school year learning remotely, they fell more than half a grade behind in math on average, while in districts that spent most of the year in person they lost just over a third of a grade.

( A separate study of nearly 10,000 schools found similar results.)

Such losses can be hard to overcome, without significant interventions. The most recent test scores, from spring 2023, show that students, overall, are not caught up from their pandemic losses , with larger gaps remaining among students that lost the most ground to begin with. Students in districts that were remote or hybrid the longest — at least 90 percent of the 2020-21 school year — still had almost double the ground to make up compared with students in districts that allowed students back for most of the year.

Some time in person was better than no time.

As districts shifted toward in-person learning as the year went on, students that were offered a hybrid schedule (a few hours or days a week in person, with the rest online) did better, on average, than those in places where school was fully remote, but worse than those in places that had school fully in person.

Students in hybrid or remote learning, 2020-21

80% of students

Some schools return online, as Covid-19 cases surge. Vaccinations start for high-priority groups.

Teachers are eligible for the Covid vaccine in more than half of states.

Most districts end the year in-person or hybrid.

Source: Burbio audit of more than 1,200 school districts representing 47 percent of U.S. K-12 enrollment. Note: Learning mode was defined based on the most in-person option available to students.

Income and family background also made a big difference.

A second factor associated with academic declines during the pandemic was a community’s poverty level. Comparing districts with similar remote learning policies, poorer districts had steeper losses.

But in-person learning still mattered: Looking at districts with similar poverty levels, remote learning was associated with greater declines.

A community’s poverty rate and the length of school closures had a “roughly equal” effect on student outcomes, said Sean F. Reardon, a professor of poverty and inequality in education at Stanford, who led a district-level analysis with Thomas J. Kane, an economist at Harvard.

Score changes are measured from 2019 to 2022. Poorest and richest are the top and bottom 20% of districts by percent of students on free/reduced lunch. Mostly in-person and mostly remote are districts that offered traditional in-person learning for more than 90 percent or less than 10 percent of the 2020-21 year.

But the combination — poverty and remote learning — was particularly harmful. For each week spent remote, students in poor districts experienced steeper losses in math than peers in richer districts.

That is notable, because poor districts were also more likely to stay remote for longer .

Some of the country’s largest poor districts are in Democratic-leaning cities that took a more cautious approach to the virus. Poor areas, and Black and Hispanic communities , also suffered higher Covid death rates, making many families and teachers in those districts hesitant to return.

“We wanted to survive,” said Sarah Carpenter, the executive director of Memphis Lift, a parent advocacy group in Memphis, where schools were closed until spring 2021 .

“But I also think, man, looking back, I wish our kids could have gone back to school much quicker,” she added, citing the academic effects.

Other things were also associated with worse student outcomes, including increased anxiety and depression among adults in children’s lives, and the overall restriction of social activity in a community, according to the Stanford and Harvard research .

Even short closures had long-term consequences for children.

While being in school was on average better for academic outcomes, it wasn’t a guarantee. Some districts that opened early, like those in Cherokee County, Ga., a suburb of Atlanta, and Hanover County, Va., lost significant learning and remain behind.

At the same time, many schools are seeing more anxiety and behavioral outbursts among students. And chronic absenteeism from school has surged across demographic groups .

These are signs, experts say, that even short-term closures, and the pandemic more broadly, had lasting effects on the culture of education.

“There was almost, in the Covid era, a sense of, ‘We give up, we’re just trying to keep body and soul together,’ and I think that was corrosive to the higher expectations of schools,” said Margaret Spellings, an education secretary under President George W. Bush who is now chief executive of the Bipartisan Policy Center.

Closing schools did not appear to significantly slow Covid’s spread.

Perhaps the biggest question that hung over school reopenings: Was it safe?

That was largely unknown in the spring of 2020, when schools first shut down. But several experts said that had changed by the fall of 2020, when there were initial signs that children were less likely to become seriously ill, and growing evidence from Europe and parts of the United States that opening schools, with safety measures, did not lead to significantly more transmission.

“Infectious disease leaders have generally agreed that school closures were not an important strategy in stemming the spread of Covid,” said Dr. Jeanne Noble, who directed the Covid response at the U.C.S.F. Parnassus emergency department.

Politically, though, there remains some disagreement about when, exactly, it was safe to reopen school.

Republican governors who pushed to open schools sooner have claimed credit for their approach, while Democrats and teachers’ unions have emphasized their commitment to safety and their investment in helping students recover.

“I do believe it was the right decision,” said Jerry T. Jordan, president of the Philadelphia Federation of Teachers, which resisted returning to school in person over concerns about the availability of vaccines and poor ventilation in school buildings. Philadelphia schools waited to partially reopen until the spring of 2021 , a decision Mr. Jordan believes saved lives.

“It doesn’t matter what is going on in the building and how much people are learning if people are getting the virus and running the potential of dying,” he said.

Pandemic school closures offer lessons for the future.

Though the next health crisis may have different particulars, with different risk calculations, the consequences of closing schools are now well established, experts say.

In the future, infectious disease experts said, they hoped decisions would be guided more by epidemiological data as it emerged, taking into account the trade-offs.

“Could we have used data to better guide our decision making? Yes,” said Dr. Uzma N. Hasan, division chief of pediatric infectious diseases at RWJBarnabas Health in Livingston, N.J. “Fear should not guide our decision making.”

Source: Fahle, Kane, Patterson, Reardon, Staiger and Stuart, “ School District and Community Factors Associated With Learning Loss During the Covid-19 Pandemic. ”

The study used estimates of learning loss from the Stanford Education Data Archive . For closure lengths, the study averaged district-level estimates of time spent in remote and hybrid learning compiled by the Covid-19 School Data Hub (C.S.D.H.) and American Enterprise Institute (A.E.I.) . The A.E.I. data defines remote status by whether there was an in-person or hybrid option, even if some students chose to remain virtual. In the C.S.D.H. data set, districts are defined as remote if “all or most” students were virtual.

An earlier version of this article misstated a job description of Dr. Jeanne Noble. She directed the Covid response at the U.C.S.F. Parnassus emergency department. She did not direct the Covid response for the University of California, San Francisco health system.

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Sarah Mervosh covers education for The Times, focusing on K-12 schools. More about Sarah Mervosh

Claire Cain Miller writes about gender, families and the future of work for The Upshot. She joined The Times in 2008 and was part of a team that won a Pulitzer Prize in 2018 for public service for reporting on workplace sexual harassment issues. More about Claire Cain Miller

Francesca Paris is a Times reporter working with data and graphics for The Upshot. More about Francesca Paris