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• How to Write a Strong Hypothesis | Guide & Examples

How to Write a Strong Hypothesis | Guide & Examples

Published on 6 May 2022 by Shona McCombes .

A hypothesis is a statement that can be tested by scientific research. If you want to test a relationship between two or more variables, you need to write hypotheses before you start your experiment or data collection.

Table of contents

What is a hypothesis, developing a hypothesis (with example), hypothesis examples, frequently asked questions about writing hypotheses.

A hypothesis states your predictions about what your research will find. It is a tentative answer to your research question that has not yet been tested. For some research projects, you might have to write several hypotheses that address different aspects of your research question.

A hypothesis is not just a guess – it should be based on existing theories and knowledge. It also has to be testable, which means you can support or refute it through scientific research methods (such as experiments, observations, and statistical analysis of data).

Variables in hypotheses

Hypotheses propose a relationship between two or more variables . An independent variable is something the researcher changes or controls. A dependent variable is something the researcher observes and measures.

In this example, the independent variable is exposure to the sun – the assumed cause . The dependent variable is the level of happiness – the assumed effect .

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Step 1: ask a question.

Writing a hypothesis begins with a research question that you want to answer. The question should be focused, specific, and researchable within the constraints of your project.

Step 2: Do some preliminary research

Your initial answer to the question should be based on what is already known about the topic. Look for theories and previous studies to help you form educated assumptions about what your research will find.

At this stage, you might construct a conceptual framework to identify which variables you will study and what you think the relationships are between them. Sometimes, you’ll have to operationalise more complex constructs.

Step 3: Formulate your hypothesis

Now you should have some idea of what you expect to find. Write your initial answer to the question in a clear, concise sentence.

Step 4: Refine your hypothesis

You need to make sure your hypothesis is specific and testable. There are various ways of phrasing a hypothesis, but all the terms you use should have clear definitions, and the hypothesis should contain:

• The relevant variables
• The specific group being studied
• The predicted outcome of the experiment or analysis

Step 5: Phrase your hypothesis in three ways

To identify the variables, you can write a simple prediction in if … then form. The first part of the sentence states the independent variable and the second part states the dependent variable.

In academic research, hypotheses are more commonly phrased in terms of correlations or effects, where you directly state the predicted relationship between variables.

If you are comparing two groups, the hypothesis can state what difference you expect to find between them.

Step 6. Write a null hypothesis

If your research involves statistical hypothesis testing , you will also have to write a null hypothesis. The null hypothesis is the default position that there is no association between the variables. The null hypothesis is written as H 0 , while the alternative hypothesis is H 1 or H a .

Hypothesis testing is a formal procedure for investigating our ideas about the world using statistics. It is used by scientists to test specific predictions, called hypotheses , by calculating how likely it is that a pattern or relationship between variables could have arisen by chance.

A hypothesis is not just a guess. It should be based on existing theories and knowledge. It also has to be testable, which means you can support or refute it through scientific research methods (such as experiments, observations, and statistical analysis of data).

A research hypothesis is your proposed answer to your research question. The research hypothesis usually includes an explanation (‘ x affects y because …’).

A statistical hypothesis, on the other hand, is a mathematical statement about a population parameter. Statistical hypotheses always come in pairs: the null and alternative hypotheses. In a well-designed study , the statistical hypotheses correspond logically to the research hypothesis.

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Chapter 2 formulating a hypothesis.

“There is no single best way to develop a research idea.” ( Pischke 2012 )

2.1 How do you develop a research question and formulate a hypothesis?

You decide to undertake a scientific project. Where do you start? First, you need to find a research question that interests you and formulate a hypothesis. We will introduce some key terminology, steps you can take, and examples how to develop research questions. Note that .

What if someone assigns a topic to me? For students attending undergraduate and graduate courses that often pick topics from a list, all of these steps are equally important and necessary. You still need to formulate a research question and a hypothesis. And it is important to clarify the relevance of your topic for yourself.

When thinking about a research question, you need to identify a topic that is:

• Relevant , important in the world and interesting to you as a researcher: Does working on the topic excites you? You will spend many hours thinking about it and working on it. Therefore, it should be interesting and engaging enough for you to motivate your continued work on this topic.
• Specific : not too broad and not too narrow
• Feasible to research within a given time frame: Is it possible to answer the research question based on your time budget, data and additional resources.

How do you find a topic or develop a feasible research idea in the first place? Finding an idea is not difficult, the critical part is to find a good idea. How do you do that? There is no one specific way how one gets an idea, rather there is a myriad of ways how people come up with potential ideas (for example, as stated by Varian ( 2016 ) ).

You can find inspiration by

• Looking at insights from the world around you: your own life and experiences, observe the behavior of people around you
• Talking to people around you, experts, other students, family members
• Talking to individuals outside your field (non-economists)
• Talking to professionals working in the area you are interested in (you may use social media and professional platforms like LinkedIN or Twitter to make contact)
• Reading journal articles from other non-economic social sciences and the medical literature
• What are the issues being discussed?
• How do these issues affect people’s lives?

In addition you could

• Go to virtual and in-person seminars, for example, the Essen Health Economics Seminar
• Look at abstracts of scientific articles and working papers
• Look at the literature in a specific field you are interested in, for example, screening complete issues of journals or editorials about certain research advancements. By reading this literature you might come up with the idea on how to extend and refine previous research.

Once you identified a research question that is of interest to you, you need to define a hypothesis.

2.2 What is a hypothesis?

A hypothesis is a statement that introduces your research question and suggests the results you might find. It is an educated guess. You start by posing an economic question and formulate a hypothesis about this question. Then you test it with your data and empirical analysis and either accept or reject the hypothesis. It constitutes the main basis of your scientific investigation and you should be careful when creating it.

2.2.1 Develop a hypothesis

Before you formulate your hypothesis, read up on the topic of interest. This should provide you with sufficient information to narrow down your research question. Once you find your question you need to develop a hypothesis, which contains a statement of your expectations regarding your research question’s results. You propose to prove your hypothesis with your research by testing the relationship between two variables of interest. Thus, a hypothesis should be testable with the data at hand. There are two types of hypotheses: alternative or null. Null states that there is no effect. Alternative states that there is an effect.

There is an alternative view on this that suggests one should not look at the literature too early on in the idea-generating process to not be influenced and shaped by someone else’s ideas ( Varian 2016 ) . According to this view you can spend some time (i.e. a few weeks) trying to develop your own original idea. Even if you end up with an idea that has already been pursued by someone else, this will still provide you with good practice in developing publishable ideas. After you have developed an idea and made sure that it was not yet investigated in the literature, you can start conducting a systematic literature review. By doing this, you can find some other interesting insights from the work of others that you can synthesize in your own work to produce something novel and original.

2.2.2 Identify relevant literature

For your research project you will need to identify and collect previous relevant literature. It should involve a thorough search of the keywords in relevant databases and journals. Place emphasis on articles from high-ranking journals with significant numbers of citations. This will give you an indication of the most influential and important work in the field. Once you identify and collect the relevant literature for your topic, you will need to critically synthesize it in your literature review.

When you perform your literature review, consider theories that may inform your research question. For example, when studying physician behavior you may consider principal-agent theory.

2.2.3 Research question or literature review: the chicken or the egg problem?

Whether you start reading the literature first or by developing an idea may depend on your level (graduate student, early career researcher) and other goals. However, thinking freely about what you like to investigate first may help to critically develop a feasible and interesting research question.

We highlight an example how to start with investigating the real world and subsequently posing a research question ( “How to Write a Strong Hypothesis Steps and Examples ” 2019 ; “Developing Strong Research Questions Criteria and Examples ” 2019 ; Schilbach 2019 ) . For example, based on your observation you notice that people spend extensive amount of time looking at their smartphones. Maybe even you yourself engage in the same behavior. In addition, you read a BBC News article Social media damages teenagers’ mental health, report says .

(#fig:social_media)Social media and mental health

Source: BBC

You decide to translate this article and your observations into a research question : How does social media use affect mental health? Before you formulate your hypothesis, read up on the topic of interest. Read economic, medical and other social science literature on the topic. There is likely to be a vast amount of literature from non-economic fields that are doing research on your topic of interest, for example, psychology or neuroscience. Familiarize yourself with it and master it. Do not get distracted by different scientific methodologies and techniques that might seem not up-to-par to the economic studies (small sample sizes, endogeneity, uncovering association rather than causation, etc.), but rather focus on suggestions of potential mechanisms.

A hypothesis is then your research question distilled into a one sentence statement, which presents your expectations regarding the results. You propose to prove your hypothesis by testing the relationship between two variables of interest with the data at hand. There are two types of hypotheses: alternative or null. The null hypothesis states that there is no effect. The alternative hypothesis states that there is an effect.

A hypothesis related to the above-stated research question could be: The increased use of social media among teenagers leads to (is associated with) worse mental health outcomes, i.e. increased incidence of depression, eating disorders, worse well-being and lower self-esteem. It suggests a direction of a relationship that you expect to find that is guided by your observations and existing evidence. It is testable with scientific research methods by using statistical analysis of the relevant data.

Your hypothesis suggests a relationship between two variables: social media use (your independent variable \(X\) ) and mental health (dependent variable \(Y\) ). It could be framed in terms of correlation (is associated with) or causation (leads to). This should be reflected in the choice of scientific investigation you decide to undertake.

The null hypothesis is: There is no relationship between social media use among teenagers and their mental health .

2.3 Resources box

2.3.1 how to develop strong research questions.

• The form of the research process
• Varian, H. R. (2016). How to build an economic model in your spare time. The American Economist, 61(1), 81-90.

2.3.2 Identify relevant literature from major general interest and field literature

To identify the relevant literature you can

• use academic search engines such as Google Scholar, Web of Science, EconLit, PubMed.
• search working paper series such as the National Bureau of Economic Research , NetEc or IZA
• search more general resource sites such as Resources for Economists
• go to the library/use library database

2.3.3 Assess the quality of a journal article

Several rankings may help to assess the quality of research you consider

• Journals of general interest and by field in economics and management - For German-speaking countries, consider the VWL / BWL Handelsblatt Ranking for economics and management - The German Association of Management Scholars provides an expert-based ranking VHB JourQual 3.0, Teilranking Management im Gesundheitswesen - Web of Science Impact Factors - Scimago
• Health Economics, Health Services and Health Care Managment Research: Health Economics Journals List
• Be aware that like in any other domain there are predatory publishing practices .

Use tools to investigate how a journal article is connected to other works

• Citationgecko
• Connected papers
• scite_ – a tool to get a first impression whether a study is disputed or academic consensus

2.3.4 Organize your literature

• Zotero (free of charge)
• Mendeley (free of charge)
• EndNote (potentially free of charge via your university)
• Citavi (potentially free of charge via your university)
• BibTEX if you work with TEX
• Excel spread sheet

2.4 Checklist to get started with formulating your hypothesis

• Find an interesting and relevant research topic, if not assigned
• Try to suck up all information you can easily obtain from various sources within and outside academic literature
• Formulate one compelling research question
• Find the best available empirical and theoretical evidence that is related to your research question
• Formulate a hypothesis
• Check whether data are available for analysis
• Challenge your idea with your fellows or senior researchers

2.5 Example: Hellerstein ( 1998 )

As an illustration of the research process of formulating a hypothesis, designing a study, running a study, collecting and analyzing the data and, finally, reporting the study, we provide an example by replicating Judith K. Hellerstein’s paper “The Importance of the Physician in the Generic versus Trade-Name Prescription Decision” that was published in 1998 in the RAND Journal of Economics.

Hellerstein’s 1998 paper has impacted discussion about behavioral factors of physician decisions and pharmaceutical markets over two decades. The study received 448 citations on Google Scholar since 1998 by 27/03/2022, including recent mentions in top field journals such as Journal of Public Economics (2021) , Journal of Health Economics (2019) , and Health Economics (2019) .

Figure 2.1: Connected graph of Hellerstein ( 1998 ) , February 2022

Figure 2.1 shows a connected graph of prior and derivative works related to the study.

The work has impacted the literature researching the role of physician behavior and its influence on access, adoption and diffusion of health services, moral hazard and incentives in prescription and treatment decisions and the influence of different payment schemes, and a vast body of literature studying the pharmaceutical market.

The research that has been influenced by Hellerstein includes evidence on:

• generic drug entries and market efficiency
• the effectiveness of pharmaceutical promotion
• the effectiveness of price regulations
• the role of patents and dynamics of market segmentation

At the end of each chapter, we demonstrate insights into this study that we replicate.

2.5.1 Context of the study - escalating health expenditures

In the United States, the total prescription drug expenditure in 2020 marked about 358.7 billion US Dollars ( Statista n.d. ) . The prescription of generic drugs in comparison to more expensive brand-name versions is an option in reducing the total health care expenditure. Generic drugs are bioequivalent in the active ingredients and can serve as a channel to contain prescription expenditure ( Kesselheim 2008 ) as generic drugs are between 20 and 90% cheaper than their trade-name alternatives ( Dunne et al. 2013 ) .

2.5.2 Research question - How does a patient’s insurance status influence the physician’s choice between generic compared to brand-name drugs?

Physicians are faced with a multitude of medication options, including the choice between generic and trade-name drugs. Physicians ideally act as agents for their patients to identify the best available treatment option based on their needs. Choosing the best treatment entails cost of coordination and cognition. The prescription of generic drugs may serve as an example to what extent physicians customize treatments according to patients’ needs with regards to cost. From an economic point of view we may expect that once a generic drug is available, a perfectly rational agent (i.e. physician) would prescribe a generic drug instead of the trade-name version if therapeutically identical ( Dranove 1989 ) . This leads to the following research question: “Do physicians vary their prescription decisions on a patient-by-patient basis or do they systematically prescribe the same version, trade-name or generic, to all patients?” .

The 1998 Hellerstein’s study examines two hypotheses:

• The physician prescribing choice influences the selection of a generic over a brand-name drug
• The patient’s insurance status influences the physician’s choice between generic and brand-name drugs.

For the purpose of this example and in the replication exercise we focus on the second aspect.

2.5.3 Hypothesis

The paper formulates the following hypothesis:

Physicians are more likely to prescribe generics to patients who do not have insurance coverage for prescription pharmaceuticals (moral hazard in insurance)

Hellerstein ( 1998 ) discusses that, based on insurance status, some patients may demand certain care more than others. If, for example, the prescription drug is reimbursed by the patient’s health insurance, this may cause overconsumption. This behavior can potentially differ by the patient’s insurance scheme. A patient that has no insurance and, thus, does not get any reimbursement for prescription drugs, might have a higher incentive to demand cheaper generic drugs ( Danzon and Furukawa 2011 ) than a patient with insurance that covers prescription drugs, either generic or trade-name. Given that the United States have different insurance schemes with varying prescription drug coverage, it is of interest to investigate the role of a patient’s insurance status in the physician’s choice between generic compared to brand-name drugs.

Hellerstein ( 1998 ) considers a patient’s insurance status as a matter of dividing the study population in groups for which the choice between generic and brand-name drugs differs. She suggests that There is a relationship between the prescription of a generic drug and insurance status of a patient. ( Hellerstein 1998 ) .

Providing answers to a research question requires formulating and testing a hypothesis. Based on logic, theory or previous research, a hypothesis proposes an expected relationship within the given data. According to her research question, Hellerstein hypothesizes that: Physicians are more likely to prescribe generics to patients who do not have insurance coverage for prescription pharmaceuticals.

Specifically, she writes “if there is moral hazard in insurance when it comes to physician prescription behavior, there will be differences in the propensity of physicians to prescribe low-cost generic drugs, and these differences will be (partially) a function of the insurance held by the patient. In particular, if moral hazard exists, patients with extensive insurance coverage for prescription drugs (like those on Medicaid in 1989) should receive prescriptions written for generic drugs less frequently than patients with no prescription drug coverage.” ( Hellerstein 1998, 113 )

Based on Hellerstein’s considerations, we expect the effect of the insurance status on whether a patient receives a generic to be different from zero. To obtain a testable null hypothesis, we reformulate this relationship so that we reject the hypothesis if our expectations are correct. This means, if we expect to see an effect of insurance on prescriptions of generics, our null hypothesis is that insurance status has no effect on the outcome (prescription of generic drugs). No moral hazard arises from having obtained insurance.

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What is a Hypothesis – Types, Examples and Writing Guide

Table of Contents

Definition:

Hypothesis is an educated guess or proposed explanation for a phenomenon, based on some initial observations or data. It is a tentative statement that can be tested and potentially proven or disproven through further investigation and experimentation.

Hypothesis is often used in scientific research to guide the design of experiments and the collection and analysis of data. It is an essential element of the scientific method, as it allows researchers to make predictions about the outcome of their experiments and to test those predictions to determine their accuracy.

Types of Hypothesis

Types of Hypothesis are as follows:

Research Hypothesis

A research hypothesis is a statement that predicts a relationship between variables. It is usually formulated as a specific statement that can be tested through research, and it is often used in scientific research to guide the design of experiments.

Null Hypothesis

The null hypothesis is a statement that assumes there is no significant difference or relationship between variables. It is often used as a starting point for testing the research hypothesis, and if the results of the study reject the null hypothesis, it suggests that there is a significant difference or relationship between variables.

Alternative Hypothesis

An alternative hypothesis is a statement that assumes there is a significant difference or relationship between variables. It is often used as an alternative to the null hypothesis and is tested against the null hypothesis to determine which statement is more accurate.

Directional Hypothesis

A directional hypothesis is a statement that predicts the direction of the relationship between variables. For example, a researcher might predict that increasing the amount of exercise will result in a decrease in body weight.

Non-directional Hypothesis

A non-directional hypothesis is a statement that predicts the relationship between variables but does not specify the direction. For example, a researcher might predict that there is a relationship between the amount of exercise and body weight, but they do not specify whether increasing or decreasing exercise will affect body weight.

Statistical Hypothesis

A statistical hypothesis is a statement that assumes a particular statistical model or distribution for the data. It is often used in statistical analysis to test the significance of a particular result.

Composite Hypothesis

A composite hypothesis is a statement that assumes more than one condition or outcome. It can be divided into several sub-hypotheses, each of which represents a different possible outcome.

Empirical Hypothesis

An empirical hypothesis is a statement that is based on observed phenomena or data. It is often used in scientific research to develop theories or models that explain the observed phenomena.

Simple Hypothesis

A simple hypothesis is a statement that assumes only one outcome or condition. It is often used in scientific research to test a single variable or factor.

Complex Hypothesis

A complex hypothesis is a statement that assumes multiple outcomes or conditions. It is often used in scientific research to test the effects of multiple variables or factors on a particular outcome.

Applications of Hypothesis

Hypotheses are used in various fields to guide research and make predictions about the outcomes of experiments or observations. Here are some examples of how hypotheses are applied in different fields:

• Science : In scientific research, hypotheses are used to test the validity of theories and models that explain natural phenomena. For example, a hypothesis might be formulated to test the effects of a particular variable on a natural system, such as the effects of climate change on an ecosystem.
• Medicine : In medical research, hypotheses are used to test the effectiveness of treatments and therapies for specific conditions. For example, a hypothesis might be formulated to test the effects of a new drug on a particular disease.
• Psychology : In psychology, hypotheses are used to test theories and models of human behavior and cognition. For example, a hypothesis might be formulated to test the effects of a particular stimulus on the brain or behavior.
• Sociology : In sociology, hypotheses are used to test theories and models of social phenomena, such as the effects of social structures or institutions on human behavior. For example, a hypothesis might be formulated to test the effects of income inequality on crime rates.
• Business : In business research, hypotheses are used to test the validity of theories and models that explain business phenomena, such as consumer behavior or market trends. For example, a hypothesis might be formulated to test the effects of a new marketing campaign on consumer buying behavior.
• Engineering : In engineering, hypotheses are used to test the effectiveness of new technologies or designs. For example, a hypothesis might be formulated to test the efficiency of a new solar panel design.

How to write a Hypothesis

Here are the steps to follow when writing a hypothesis:

Identify the Research Question

The first step is to identify the research question that you want to answer through your study. This question should be clear, specific, and focused. It should be something that can be investigated empirically and that has some relevance or significance in the field.

Conduct a Literature Review

Before writing your hypothesis, it’s essential to conduct a thorough literature review to understand what is already known about the topic. This will help you to identify the research gap and formulate a hypothesis that builds on existing knowledge.

Determine the Variables

The next step is to identify the variables involved in the research question. A variable is any characteristic or factor that can vary or change. There are two types of variables: independent and dependent. The independent variable is the one that is manipulated or changed by the researcher, while the dependent variable is the one that is measured or observed as a result of the independent variable.

Formulate the Hypothesis

Based on the research question and the variables involved, you can now formulate your hypothesis. A hypothesis should be a clear and concise statement that predicts the relationship between the variables. It should be testable through empirical research and based on existing theory or evidence.

Write the Null Hypothesis

The null hypothesis is the opposite of the alternative hypothesis, which is the hypothesis that you are testing. The null hypothesis states that there is no significant difference or relationship between the variables. It is important to write the null hypothesis because it allows you to compare your results with what would be expected by chance.

Refine the Hypothesis

After formulating the hypothesis, it’s important to refine it and make it more precise. This may involve clarifying the variables, specifying the direction of the relationship, or making the hypothesis more testable.

Examples of Hypothesis

Here are a few examples of hypotheses in different fields:

• Psychology : “Increased exposure to violent video games leads to increased aggressive behavior in adolescents.”
• Biology : “Higher levels of carbon dioxide in the atmosphere will lead to increased plant growth.”
• Sociology : “Individuals who grow up in households with higher socioeconomic status will have higher levels of education and income as adults.”
• Education : “Implementing a new teaching method will result in higher student achievement scores.”
• Marketing : “Customers who receive a personalized email will be more likely to make a purchase than those who receive a generic email.”
• Physics : “An increase in temperature will cause an increase in the volume of a gas, assuming all other variables remain constant.”
• Medicine : “Consuming a diet high in saturated fats will increase the risk of developing heart disease.”

Purpose of Hypothesis

The purpose of a hypothesis is to provide a testable explanation for an observed phenomenon or a prediction of a future outcome based on existing knowledge or theories. A hypothesis is an essential part of the scientific method and helps to guide the research process by providing a clear focus for investigation. It enables scientists to design experiments or studies to gather evidence and data that can support or refute the proposed explanation or prediction.

The formulation of a hypothesis is based on existing knowledge, observations, and theories, and it should be specific, testable, and falsifiable. A specific hypothesis helps to define the research question, which is important in the research process as it guides the selection of an appropriate research design and methodology. Testability of the hypothesis means that it can be proven or disproven through empirical data collection and analysis. Falsifiability means that the hypothesis should be formulated in such a way that it can be proven wrong if it is incorrect.

In addition to guiding the research process, the testing of hypotheses can lead to new discoveries and advancements in scientific knowledge. When a hypothesis is supported by the data, it can be used to develop new theories or models to explain the observed phenomenon. When a hypothesis is not supported by the data, it can help to refine existing theories or prompt the development of new hypotheses to explain the phenomenon.

When to use Hypothesis

Here are some common situations in which hypotheses are used:

• In scientific research , hypotheses are used to guide the design of experiments and to help researchers make predictions about the outcomes of those experiments.
• In social science research , hypotheses are used to test theories about human behavior, social relationships, and other phenomena.
• I n business , hypotheses can be used to guide decisions about marketing, product development, and other areas. For example, a hypothesis might be that a new product will sell well in a particular market, and this hypothesis can be tested through market research.

Characteristics of Hypothesis

Here are some common characteristics of a hypothesis:

• Testable : A hypothesis must be able to be tested through observation or experimentation. This means that it must be possible to collect data that will either support or refute the hypothesis.
• Falsifiable : A hypothesis must be able to be proven false if it is not supported by the data. If a hypothesis cannot be falsified, then it is not a scientific hypothesis.
• Clear and concise : A hypothesis should be stated in a clear and concise manner so that it can be easily understood and tested.
• Based on existing knowledge : A hypothesis should be based on existing knowledge and research in the field. It should not be based on personal beliefs or opinions.
• Specific : A hypothesis should be specific in terms of the variables being tested and the predicted outcome. This will help to ensure that the research is focused and well-designed.
• Tentative: A hypothesis is a tentative statement or assumption that requires further testing and evidence to be confirmed or refuted. It is not a final conclusion or assertion.
• Relevant : A hypothesis should be relevant to the research question or problem being studied. It should address a gap in knowledge or provide a new perspective on the issue.

Advantages of Hypothesis

Hypotheses have several advantages in scientific research and experimentation:

• Guides research: A hypothesis provides a clear and specific direction for research. It helps to focus the research question, select appropriate methods and variables, and interpret the results.
• Predictive powe r: A hypothesis makes predictions about the outcome of research, which can be tested through experimentation. This allows researchers to evaluate the validity of the hypothesis and make new discoveries.
• Facilitates communication: A hypothesis provides a common language and framework for scientists to communicate with one another about their research. This helps to facilitate the exchange of ideas and promotes collaboration.
• Efficient use of resources: A hypothesis helps researchers to use their time, resources, and funding efficiently by directing them towards specific research questions and methods that are most likely to yield results.
• Provides a basis for further research: A hypothesis that is supported by data provides a basis for further research and exploration. It can lead to new hypotheses, theories, and discoveries.
• Increases objectivity: A hypothesis can help to increase objectivity in research by providing a clear and specific framework for testing and interpreting results. This can reduce bias and increase the reliability of research findings.

Limitations of Hypothesis

Some Limitations of the Hypothesis are as follows:

• Limited to observable phenomena: Hypotheses are limited to observable phenomena and cannot account for unobservable or intangible factors. This means that some research questions may not be amenable to hypothesis testing.
• May be inaccurate or incomplete: Hypotheses are based on existing knowledge and research, which may be incomplete or inaccurate. This can lead to flawed hypotheses and erroneous conclusions.
• May be biased: Hypotheses may be biased by the researcher’s own beliefs, values, or assumptions. This can lead to selective interpretation of data and a lack of objectivity in research.
• Cannot prove causation: A hypothesis can only show a correlation between variables, but it cannot prove causation. This requires further experimentation and analysis.
• Limited to specific contexts: Hypotheses are limited to specific contexts and may not be generalizable to other situations or populations. This means that results may not be applicable in other contexts or may require further testing.
• May be affected by chance : Hypotheses may be affected by chance or random variation, which can obscure or distort the true relationship between variables.

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How to Develop a Good Research Hypothesis

The story of a research study begins by asking a question. Researchers all around the globe are asking curious questions and formulating research hypothesis. However, whether the research study provides an effective conclusion depends on how well one develops a good research hypothesis. Research hypothesis examples could help researchers get an idea as to how to write a good research hypothesis.

This blog will help you understand what is a research hypothesis, its characteristics and, how to formulate a research hypothesis

Table of Contents

What is Hypothesis?

Hypothesis is an assumption or an idea proposed for the sake of argument so that it can be tested. It is a precise, testable statement of what the researchers predict will be outcome of the study.  Hypothesis usually involves proposing a relationship between two variables: the independent variable (what the researchers change) and the dependent variable (what the research measures).

What is a Research Hypothesis?

Research hypothesis is a statement that introduces a research question and proposes an expected result. It is an integral part of the scientific method that forms the basis of scientific experiments. Therefore, you need to be careful and thorough when building your research hypothesis. A minor flaw in the construction of your hypothesis could have an adverse effect on your experiment. In research, there is a convention that the hypothesis is written in two forms, the null hypothesis, and the alternative hypothesis (called the experimental hypothesis when the method of investigation is an experiment).

Characteristics of a Good Research Hypothesis

As the hypothesis is specific, there is a testable prediction about what you expect to happen in a study. You may consider drawing hypothesis from previously published research based on the theory.

A good research hypothesis involves more effort than just a guess. In particular, your hypothesis may begin with a question that could be further explored through background research.

To help you formulate a promising research hypothesis, you should ask yourself the following questions:

• Is the language clear and focused?
• What is the relationship between your hypothesis and your research topic?
• Is your hypothesis testable? If yes, then how?
• What are the possible explanations that you might want to explore?
• Does your hypothesis include both an independent and dependent variable?
• Can you manipulate your variables without hampering the ethical standards?
• Does your research predict the relationship and outcome?
• Is your research simple and concise (avoids wordiness)?
• Is it clear with no ambiguity or assumptions about the readers’ knowledge
• Is your research observable and testable results?
• Is it relevant and specific to the research question or problem?

The questions listed above can be used as a checklist to make sure your hypothesis is based on a solid foundation. Furthermore, it can help you identify weaknesses in your hypothesis and revise it if necessary.

Source: Educational Hub

How to formulate a research hypothesis.

A testable hypothesis is not a simple statement. It is rather an intricate statement that needs to offer a clear introduction to a scientific experiment, its intentions, and the possible outcomes. However, there are some important things to consider when building a compelling hypothesis.

1. State the problem that you are trying to solve.

Make sure that the hypothesis clearly defines the topic and the focus of the experiment.

2. Try to write the hypothesis as an if-then statement.

Follow this template: If a specific action is taken, then a certain outcome is expected.

3. Define the variables

Independent variables are the ones that are manipulated, controlled, or changed. Independent variables are isolated from other factors of the study.

Dependent variables , as the name suggests are dependent on other factors of the study. They are influenced by the change in independent variable.

4. Scrutinize the hypothesis

Evaluate assumptions, predictions, and evidence rigorously to refine your understanding.

Types of Research Hypothesis

The types of research hypothesis are stated below:

1. Simple Hypothesis

It predicts the relationship between a single dependent variable and a single independent variable.

2. Complex Hypothesis

It predicts the relationship between two or more independent and dependent variables.

3. Directional Hypothesis

It specifies the expected direction to be followed to determine the relationship between variables and is derived from theory. Furthermore, it implies the researcher’s intellectual commitment to a particular outcome.

4. Non-directional Hypothesis

It does not predict the exact direction or nature of the relationship between the two variables. The non-directional hypothesis is used when there is no theory involved or when findings contradict previous research.

5. Associative and Causal Hypothesis

The associative hypothesis defines interdependency between variables. A change in one variable results in the change of the other variable. On the other hand, the causal hypothesis proposes an effect on the dependent due to manipulation of the independent variable.

6. Null Hypothesis

Null hypothesis states a negative statement to support the researcher’s findings that there is no relationship between two variables. There will be no changes in the dependent variable due the manipulation of the independent variable. Furthermore, it states results are due to chance and are not significant in terms of supporting the idea being investigated.

7. Alternative Hypothesis

It states that there is a relationship between the two variables of the study and that the results are significant to the research topic. An experimental hypothesis predicts what changes will take place in the dependent variable when the independent variable is manipulated. Also, it states that the results are not due to chance and that they are significant in terms of supporting the theory being investigated.

Research Hypothesis Examples of Independent and Dependent Variables

Research Hypothesis Example 1 The greater number of coal plants in a region (independent variable) increases water pollution (dependent variable). If you change the independent variable (building more coal factories), it will change the dependent variable (amount of water pollution).

Research Hypothesis Example 2 What is the effect of diet or regular soda (independent variable) on blood sugar levels (dependent variable)? If you change the independent variable (the type of soda you consume), it will change the dependent variable (blood sugar levels)

You should not ignore the importance of the above steps. The validity of your experiment and its results rely on a robust testable hypothesis. Developing a strong testable hypothesis has few advantages, it compels us to think intensely and specifically about the outcomes of a study. Consequently, it enables us to understand the implication of the question and the different variables involved in the study. Furthermore, it helps us to make precise predictions based on prior research. Hence, forming a hypothesis would be of great value to the research. Here are some good examples of testable hypotheses.

More importantly, you need to build a robust testable research hypothesis for your scientific experiments. A testable hypothesis is a hypothesis that can be proved or disproved as a result of experimentation.

Importance of a Testable Hypothesis

To devise and perform an experiment using scientific method, you need to make sure that your hypothesis is testable. To be considered testable, some essential criteria must be met:

• There must be a possibility to prove that the hypothesis is true.
• There must be a possibility to prove that the hypothesis is false.
• The results of the hypothesis must be reproducible.

Without these criteria, the hypothesis and the results will be vague. As a result, the experiment will not prove or disprove anything significant.

What are your experiences with building hypotheses for scientific experiments? What challenges did you face? How did you overcome these challenges? Please share your thoughts with us in the comments section.

Frequently Asked Questions

The steps to write a research hypothesis are: 1. Stating the problem: Ensure that the hypothesis defines the research problem 2. Writing a hypothesis as an 'if-then' statement: Include the action and the expected outcome of your study by following a ‘if-then’ structure. 3. Defining the variables: Define the variables as Dependent or Independent based on their dependency to other factors. 4. Scrutinizing the hypothesis: Identify the type of your hypothesis

Hypothesis testing is a statistical tool which is used to make inferences about a population data to draw conclusions for a particular hypothesis.

Hypothesis in statistics is a formal statement about the nature of a population within a structured framework of a statistical model. It is used to test an existing hypothesis by studying a population.

Research hypothesis is a statement that introduces a research question and proposes an expected result. It forms the basis of scientific experiments.

The different types of hypothesis in research are: • Null hypothesis: Null hypothesis is a negative statement to support the researcher’s findings that there is no relationship between two variables. • Alternate hypothesis: Alternate hypothesis predicts the relationship between the two variables of the study. • Directional hypothesis: Directional hypothesis specifies the expected direction to be followed to determine the relationship between variables. • Non-directional hypothesis: Non-directional hypothesis does not predict the exact direction or nature of the relationship between the two variables. • Simple hypothesis: Simple hypothesis predicts the relationship between a single dependent variable and a single independent variable. • Complex hypothesis: Complex hypothesis predicts the relationship between two or more independent and dependent variables. • Associative and casual hypothesis: Associative and casual hypothesis predicts the relationship between two or more independent and dependent variables. • Empirical hypothesis: Empirical hypothesis can be tested via experiments and observation. • Statistical hypothesis: A statistical hypothesis utilizes statistical models to draw conclusions about broader populations.

Wow! You really simplified your explanation that even dummies would find it easy to comprehend. Thank you so much.

Thanks a lot for your valuable guidance.

I enjoy reading the post. Hypotheses are actually an intrinsic part in a study. It bridges the research question and the methodology of the study.

Useful piece!

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It very interesting to read the topic, can you guide me any specific example of hypothesis process establish throw the Demand and supply of the specific product in market

Nicely explained

It is really a useful for me Kindly give some examples of hypothesis

It was a well explained content ,can you please give me an example with the null and alternative hypothesis illustrated

clear and concise. thanks.

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Good to learn

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Explained well and in simple terms. Quick read! Thank you

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2.1C: Formulating the Hypothesis

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A hypothesis is a potential answer to your research question; the research process helps you determine if your hypothesis is true.

Learning Objectives

• Explain how hypotheses are used in sociological research and the difference between dependent and independent variables
• Hypotheses are testable explanations of a problem, phenomenon, or observation.
• Both quantitative and qualitative research involve formulating a hypothesis to address the research problem.
• Hypotheses that suggest a causal relationship involve at least one independent variable and at least one dependent variable; in other words, one variable which is presumed to affect the other.
• An independent variable is one whose value is manipulated by the researcher or experimenter.
• A dependent variable is a variable whose values are presumed to change as a result of changes in the independent variable.
• dependent variable : In an equation, the variable whose value depends on one or more variables in the equation.
• independent variable : In an equation, any variable whose value is not dependent on any other in the equation.
• hypothesis : Used loosely, a tentative conjecture explaining an observation, phenomenon, or scientific problem that can be tested by further observation, investigation, or experimentation.

A hypothesis is an assumption or suggested explanation about how two or more variables are related. It is a crucial step in the scientific method and, therefore, a vital aspect of all scientific research. There are no definitive guidelines for the production of new hypotheses. The history of science is filled with stories of scientists claiming a flash of inspiration, or a hunch, which then motivated them to look for evidence to support or refute the idea.

While there is no single way to develop a hypothesis, a useful hypothesis will use deductive reasoning to make predictions that can be experimentally assessed. If results contradict the predictions, then the hypothesis under examination is incorrect or incomplete and must be revised or abandoned. If results confirm the predictions, then the hypothesis might be correct but is still subject to further testing.

Both quantitative and qualitative research involve formulating a hypothesis to address the research problem. A hypothesis will generally provide a causal explanation or propose some association between two variables. Variables are measurable phenomena whose values can change under different conditions. For example, if the hypothesis is a causal explanation, it will involve at least one dependent variable and one independent variable. In research, independent variables are the cause of the change. The dependent variable is the effect, or thing that is changed. In other words, the value of a dependent variable depends on the value of the independent variable. Of course, this assumes that there is an actual relationship between the two variables. If there is no relationship, then the value of the dependent variable does not depend on the value of the independent variable.

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5 Basic Steps in Formulation of Hypothesis in Research

Formulation of a Hypothesis in research is an essential task in the entire Research Process that comes in the third step. A hypothesis is a tentative solution to a research problem or question. Here, we will cover a functional definition of a hypothesis & basic Steps in the formulation of hypotheses for your research.

Research works, in fact, are designed to verify the hypothesis. Therefore, a researcher, of course, would understand the meaning and nature of the hypothesis in order to formulate a hypothesis and then test the hypothesis.

What is Hypothesis in Research?

A hypothesis is a tentative statement of a proposition that the researcher seeks to prove. It’s basically a concrete generalization. Of course, this generalization requires essential characteristics that pertain to an entire class of phenomena.

When a theory is stated as a testable proposition formally and subjects to empirical verification we can define it as a hypothesis. Researchers make a hypothesis on the basis of some earlier theories and some rationale that is generally accepted as true. The hypothesis test finally will decide whether it is true or rejected.

So, to clarify a hypothesis is a statement about the relationship between two or more variables. The researcher set out the variables to prove or disprove. Hypothesis essentially includes three elements. For example-

• Relationship between variables.

Example of Hypothesis

• Rewards increase reading achievements
• Rewards decrease reading achievements
• Or rewards have no effect on reading achievements

In the above examples- variables are- Rewards & Achievements.

Steps in Formulation of Hypothesis

A hypothesis is a tentative assumption drawn from practical knowledge or theory. A hypothesis is used as a guide in the inquiry of other facts or theories that a researcher does not know. However, the formulation of the hypothesis is one of the most difficult steps in the entire scientific research process.

Therefore, in this regard, we intend to point out the basic steps in the formulation of a hypothesis. We are pretty sure that this guideline will be helpful in your research work.

1. Define Variables

At first, with a view to formulating a hypothesis, you must define your variables. What do you want to test? Will you test that rewards increase reading achievement? Or do rewards decrease reading achievement? Whatever your goals are, they need to be clearly defined, quantifiable, and measurable. This will provide you with a clear idea of what to follow to achieve results.

2. Study In-Depth the Variables

If we do think that your variables are Rewards & Achievements, then you need to intense study how rewards increase reading achievements? An in-depth study, rigorous questions, and data of rewards increase reading achievements will make you able to confirm your hypothesis. Specify dependent and independent variables.

3. Specify the Nature of the Relationship

Then, identify what relationship there exist between the variables. What variable influences the other? That is what is the dependent variable and what is the independent variable? How do Rewards impact achievements? If reward plays a key role in reading achievements, then reward is the independent variable.

4. Identify Study Population

The population in research means the entire group of individuals is going to study. If you want to test how rewards increase reading achievements in the United Kingdom, you need not study the whole population of the United Kingdom. Because the total population does not involve in reading achievements. Therefore, the researcher must identify the study population.

5. Make Sure Variables are Testable

Variables in your hypothesis must be testable. Otherwise, the hypothesis would be worthless. Because your research study must accept or reject a variable. So, variables you must need to test. Testable variables can only be accepted or rejected. Moreover, the sole aim of a research hypothesis is to test variables in the long run.

How to Choose a Research Design?

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Formulating the Research Question and Framing the Hypothesis

Affiliation.

• 1 Respiratory Care Services, Arkansas Children's Hospital, Little Rock, Arkansas. [email protected].
• PMID: 37041024
• PMCID: PMC10353175 (available on 2024-08-01 )
• DOI: 10.4187/respcare.10975

An understanding of the research process is an essential skill for designing a study and developing the research protocol. Poor study design can lead to fatal flaws in research methodology, ultimately resulting in rejection for publication or limiting the reliability of the results. Following the steps of the research process and devising the research question and hypothesis prior to study initiation can avoid common problems encountered with research questions and study design. Formulating the research question is the first step in the research process and provides the foundation for framing the hypothesis. Research questions should be feasible, interesting, novel, ethical, and relevant (FINER). Application of the FINER criteria can assist with ensuring the question is valid and will generate new knowledge that has clinical impact. Utilization of the population, intervention, comparison, and outcome (PICO) format helps to structure the question as well as refine and narrow the focus from a broad topic. The hypothesis is derived from the research question and is used to determine the experiments or interventions that will answer the question. This aim of this paper is to provide guidance for developing research questions and forming a testable hypothesis through application of the FINER criteria and the PICO process.

Keywords: FINER criteria; PICO; hypothesis; research; research question; scientific method; study design.

Copyright © 2023 by Daedalus Enterprises.

• Reproducibility of Results
• Research Design*

From the idea to the research question and hypothesis

Von der Idee zur wissenschaftlichen Fragestellung und Hypothese

• AGA-Komitee-Hefte
• Open access
• Published: 13 May 2024

Cite this article

You have full access to this open access article

• Jakob Ackermann 1 &

the Research Committee of the AGA

The research idea, research question, hypothesis, and research objective collectively form the bedrock of every scientific study and thus demand careful and precise development. Guidelines such as the FINER (feasible, interesting, novel, ethical, relevant) and PICOT (population, intervention, comparison group, outcome of interest, and time) criteria provide a structured approach to establishing the study’s foundation. Ultimately, clinical relevance and a well-defined study concept are pivotal for a successful publication process and the scientific contribution that a study can make to the current literature.

Zusammenfassung

Die Forschungsidee, Fragestellung, Hypothese und das Forschungsziel bilden die Grundlage jeder wissenschaftlichen Studie und sollten demnach sorgfältig und präzise ausgearbeitet werden. Hierbei können Orientierungshilfen wie die FINER- („feasible, interesting, novel, ethical, relevant“) und PICOT-Kriterien („population, intervention, comparison group, outcome of interest, and time“) herangezogen werden, um die Grundlage einer Studie strukturiert zu erarbeiten. Die klinische Relevanz und ein präzises Studienkonzept sind letztendlich entscheidend für einen erfolgreichen Publikationsprozess und den wissenschaftlichen Beitrag, den eine Studie zur aktuellen Literatur liefern kann.

Avoid common mistakes on your manuscript.

In contemporary medical practice, healthcare professionals increasingly rely on current research findings to optimize patient treatment. Evidence-based medicine guides the medical management of individual patients based on the best available scientific evidence. The foundation of this treatment approach hinges on well-designed, meticulously conducted, and, most importantly, clinically relevant studies.

At the inception of every study lies an idea, which ultimately gives rise to a question accompanied by a hypothesis. This process forms the bedrock of every scientific inquiry. The journey to answer the research question and substantiate or refute the hypothesis culminates in the determination and definition of the research goal. A carefully and precisely formulated research question and hypothesis can significantly assist researchers in designing a study that holds clinical relevance. This article delves into the crucial steps involved in finding a research idea, precisely formulating a suitable research question with a hypothesis, and elaborating on the research goal. Its purpose is to contribute to elucidating key points for the creation and implementation of a successful study.

Research idea and literature review

The scientific study process unfolds through three distinct phases: the discovery phase (involving the development of the research idea, question, and hypothesis), the justification phase (encompassing study planning, methodology, statistical analysis, and results presentation), and the exploitation phase (centered around discussion and data interpretation) [ 1 ]. This article focuses on the pivotal steps within the discovery phase, namely specifying a research idea and formulating the research question, hypothesis, and research goal. A research idea may originate from various sources. On the one hand, daily clinical practice can provoke new inquiries, while on the other, conducting another clinical study or engaging in peer review processes for different study groups can reveal new, unanswered questions. Regardless of the catalyst, there must be an intrinsic interest in the chosen area. What fuels this interest in knowledge? To sustain enthusiasm for scientific work alongside routine clinical responsibilities, curiosity is paramount. According to Manuel R. Theisen, “scientific [and innovative] work is the systematic and comprehensible satisfaction of curiosity.” Beyond interest, a comprehensive understanding of the selected topic is crucial. This understanding is essential for the development and execution of an innovative and clinically relevant study. To achieve this, one must be aware of the questions already addressed within the chosen topic area. While initial insights can be gleaned through interviews and discussions with experts or colleagues, a thorough, systematic, and detailed literature search is indispensable. Ensuring the relevance and significance of the research idea is crucial.

In today’s digital age, the Internet stands as the primary source of information, with scientific literature accessible through various online repositories such as MEDLINE, Google Scholar, Embase, and Cochrane, among others. The corpus of scientific literature is broadly categorized into primary, secondary, and gray literature [ 2 ]. Primary literature encompasses original works addressing specific topics and providing scientific answers, while secondary literature, like review articles, summarizes findings from primary sources. Both primary and secondary literature undergo rigorous scientific review before publication, affirming their reliability and citability. In contrast, gray literature, including preprints and unpublished manuscripts, lacks a formal review process and is therefore not citable [ 1 ].

Prior to delving into a literature review, it is imperative to narrow down the research topic and formulate precise research questions, facilitating the extraction of key terms for investigation. The subsequent literature research can be conducted using two distinct methods:

bibliography and

snowball system.

The bibliography method relies on a deep understanding of the existing literature in the desired subject area, allowing for targeted searches for specific articles by author or title. On the other hand, the snowball system, requiring no prior detailed knowledge, involves exploring new articles and sources in a pyramid form from a foundational work, preferably a systematic review, using its bibliography. Both methods demand a precise and relevant list of terms to execute the most efficient and targeted analysis possible. It is imperative to critically examine all sources used. The quality of a scientific work is not determined by the quantity of studies cited but rather by the quality of individual publications. Thorough and critical literature research can give rise to innovative study ideas with explicit questions that may not have been adequately addressed in previous studies.

Research question

Distinguishing itself from the broader study idea, the question involves the precision of formulating a specific query addressed through an empirical scientific approach. For instance, while the idea could be framed as “What is the impact of anterior cruciate ligament reconstruction on the rate of osteoarthritis in patients with anterior cruciate ligament rupture?” a focused question might be: “Do patients with conservatively treated anterior cruciate ligament rupture have an increased risk of osteoarthritis compared to patients who underwent anterior cruciate ligament reconstruction?” This example illustrates that a single study idea can generate multiple questions, allowing exploration not only of the comparison between conservatively and surgically treated anterior cruciate ligament ruptures but also identification of general patient-specific risk factors for osteoarthritis development. It is imperative, however, to ensure that each formulated question can be effectively examined in a study [ 3 ].

The explicit study question holds paramount importance as it profoundly influences the population under investigation, the chosen methodology, the evaluation of results, and the interpretation of findings [ 4 ].

To craft a robust question, Hulley et al. introduced the FINER criteria, a set of guidelines aiding in study question formulation (Table  1 ; [ 5 ]). The acronym emphasizes that a study question should be feasible and answerable within the empirical scientific project’s framework. It should not only align with personal interests but also contribute to the broader scientific community. The question must tackle an open issue in scientific literature, aiming to fill knowledge gaps. It must adhere to basic ethical rules, subject to scrutiny by an ethics committee through an ethics application. Importantly, every study question must be relevant to the chosen topic area. Relevance is key for achieving increased visibility of study results, ensuring that the findings contribute to innovation in the field of medicine.

While the FINER criteria help outline a general design for formulating a research question, the PICOT criteria can be beneficial in developing a specific question for an empirical scientific study [ 6 ]. In this context, consideration must be given to both the population under investigation, the intervention conducted, the comparison group, the desired outcome, and the timeframe (Table  2 ; [ 7 , 8 , 9 ]).

Guided by these criteria, the development of a study question is facilitated, ensuring the formulation of an adequate study methodology. The PICOT criteria in particular offer a structured approach, prompting considerations regarding the target population, the intervention and its alternative (comparison group), and the research goal, thereby aiding in the selection of an appropriate measurement instrument [ 10 ].

Undoubtedly, the significance of a well-designed research question cannot be overstated. A poorly crafted question can detrimentally impact study design, lead to fruitless efforts, and impede the identification of clinically meaningful results. Ultimately, this can adversely affect the likelihood of scientific publication. Neglecting the careful formulation of a robust research question can compromise the quality of the study and its outcomes. Thus, it is imperative to allocate sufficient resources during the initial phase of the study to develop a question that holds clinical relevance and can be effectively investigated using empirical scientific methods [ 6 ].

Once the research question has been clearly articulated, the subsequent step involves seeking an answer. To facilitate this process, it is essential to articulate the presumed answer to the study question at the study’s outset. This “hypothesis” (derived from Greek or Late Latin, meaning “assumption”.) represents a provisional statement serving specific purposes until validated or refuted. A hypothesis is not a proven explanation for an observed phenomenon; rather, it is a tentative assertion grounded in observations, experiences, or existing theories. Its role is to serve as a starting point for subsequent research and experiments aimed at testing and refining it. Importantly, both the question and the hypothesis should be formulated before the study is planned and should not be generated “retrospectively” based on data already collected [ 5 , 6 , 9 ]. While it is possible to identify a statistically significant difference through various statistical comparisons within a database to “retrospectively” formulate a question based on the already-found answer, this approach is counterintuitive. The research question was specifically posed to collect data “prospectively,” and adopting a retrospective approach may lead to erroneously considering an effect occurring purely by chance within a database as an answer. This, in turn, could have no impact or even a negative impact on the current state of science. Therefore, every robust hypothesis (and question) must be posed before the data collection process.

When formulating scientific hypotheses, it is crucial that they meet specific criteria. For instance, hypotheses should be generally valid (not just applicable to an individual case), falsifiable, and logically consistent. Additionally, hypotheses should be logically derived and operationalized, ensuring that observations can be transformed into measurable variables. Hypotheses are often framed as conditional statements, such as “If–then” or “The higher X is, the higher or lower Y is.”

In the realm of a scientific study involving statistical significance testing, the initial hypothesis takes the form of a null hypothesis [ 3 ]. This asserts the absence of any difference or connection between two groups or variables. For instance, a null hypothesis might posit that there is no difference in the incidence of osteoarthritis between patients who underwent anterior cruciate ligament reconstruction and those who did not following an anterior cruciate ligament rupture. Subsequently, an alternative hypothesis is crafted, presenting the opposing view to the null hypothesis. In our specific scenario, it suggests a divergence in the incidence of osteoarthritis between patients with and without anterior cruciate ligament reconstruction for treating an anterior cruciate ligament rupture. Both the null and alternative hypotheses are stated in the study protocol or manuscript, but the statistical evaluation pivots on the null hypothesis, subjected to statistical testing. If a statistical difference is detected, the null hypothesis is rejected, and the alternative hypothesis is accepted. Conversely, if no significant difference emerges from statistical testing, the null hypothesis stands. It is noteworthy to mention the concept of one- or two-sided hypothesis testing. A two-sided hypothesis posits a difference between two groups without specifying the direction of the difference, considering whether, for instance, the outcome in group 1 is better or worse than that in group 2. The basis for testing a null or alternative hypothesis should thus always be two-sided, given the unknown direction of the potential difference, and the choice between one- or two-sided hypothesis testing can significantly impact statistical significance [ 6 ]. In contrast, a research hypothesis can be formulated one-sidedly; for example, positing that patients who undergo cruciate ligament reconstruction following an anterior cruciate ligament rupture exhibit lower rates of osteoarthritis than those who do not receive such reconstruction.

A well-crafted research question, coupled with a sound research hypothesis, serves as the cornerstone of a study’s methodology, exerting a profound influence on the design of the scientific work. Once these foundational elements have been meticulously addressed, the subsequent step involves determining the research objective.

Research objective

The research objective serves as a guiding beacon throughout the entire research process, defining the purpose of a study. It should be distinctly articulated in the introduction of a research protocol or manuscript [ 10 ]. Unlike the hypothesis, the research objective fundamentally outlines how the research question will be addressed, often incorporating the study design [ 6 ]. Establishing a clear and precise research objective lays the foundation for a methodical implementation of the study, aiding in focusing on essential aspects and avoiding unnecessary effort. Building upon the earlier hypothesis example, the research objective might state that the study intends to compare the osteoarthritis rate in patients with and without cruciate ligament reconstruction after anterior cruciate ligament rupture over a follow-up period of at least 10 years. Notably, the research objective defines the study’s outcome parameters, which can be categorized into a primary (“primary objective”) and a secondary (“secondary objective”) research objective. In this instance, the primary goal is to examine the rate of osteoarthritis, while the secondary goal could involve collecting clinical outcome scores to assess both the osteoarthritis rate and the clinical outcomes of these patients. By outlining the outcome parameters and study design, the research objective also contributes to the calculation of the study power [ 10 ].

During the study’s execution, it is imperative to keep the research objective at the forefront to ensure that all research activities align with the intended goal.

In conclusion, the value of a research objective lies in conferring clinical relevance to the study through the selection of an appropriate outcome parameter. This significantly influences the impact of the study’s determined results on medicine and future research.

Practical conclusion

Research idea

Can emerge from various situations, such as clinical problems or unresolved questions in the scientific literature.

Demands comprehensive, systematic, and detailed literature research to assess the current scientific status.

Relies on a precise and relevant list of terms related to the chosen topic.

Example: “What is the impact of anterior cruciate ligament reconstruction on the rate of osteoarthritis in patients with anterior cruciate ligament rupture?”

Poses a query answerable through scientific investigation. Formulation guided by the

FINER criteria : feasible, interesting, novel, ethical, and relevant;

PICOT criteria : population, intervention, comparison group, outcome of interest, and time.

Example: “Do patients with conservatively treated anterior cruciate ligament ruptures have an increased risk of osteoarthritis compared to patients who received anterior cruciate ligament reconstruction?”

Represents the assumed answer to the research question, grounded in published data or experience.

Universal, falsifiable, and consistent.

Established before data collection, not retrospectively.

Typically framed as “If–then” or “The higher X is, the higher or lower Y is.”

Example: “There is no difference in the rate of osteoarthritis between patients with or without anterior cruciate ligament reconstruction for the treatment of anterior cruciate ligament rupture.”

Articulates how one aims to answer the research question, often incorporating the study design.

Encompasses both primary and secondary research objectives.

Infuses clinical relevance into the study by selecting an appropriate outcome parameter.

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• Mastering Hypothesis Testing in Excel: A Practical Guide for Students

Excel for Hypothesis Testing: A Practical Approach for Students

Hypothesis testing lies at the heart of statistical inference, serving as a cornerstone for drawing meaningful conclusions from data. It's a methodical process used to evaluate assumptions about a population parameter, typically based on sample data. The fundamental idea behind hypothesis testing is to assess whether observed differences or relationships in the sample are statistically significant enough to warrant generalizations to the larger population. This process involves formulating null and alternative hypotheses, selecting an appropriate statistical test, collecting sample data, and interpreting the results to make informed decisions. In the realm of statistical software, SAS stands out as a robust and widely used tool for data analysis in various fields such as academia, industry, and research. Its extensive capabilities make it particularly favored for complex analyses, large datasets, and advanced modeling techniques. However, despite its versatility and power, SAS can have a steep learning curve, especially for students who are just beginning their journey into statistics. The intricacies of programming syntax, data manipulation, and interpreting output may pose challenges for novice users, potentially hindering their understanding of statistical concepts like hypothesis testing. If you need assistance with your Excel homework , understanding hypothesis testing is essential for performing statistical analyses and drawing meaningful conclusions from data using Excel's built-in functions and tools.

Enter Excel, a ubiquitous spreadsheet software that most students are already familiar with to some extent. While Excel may not offer the same level of sophistication as SAS in terms of advanced statistical procedures, it remains a valuable tool, particularly for introductory and intermediate-level analyses. Its intuitive interface, user-friendly features, and widespread accessibility make it an attractive option for students seeking a practical approach to learning statistics. By leveraging Excel's built-in functions, data visualization tools, and straightforward formulas, students can gain hands-on experience with hypothesis testing in a familiar environment. In this blog post, we aim to bridge the gap between theoretical concepts and practical application by demonstrating how Excel can serve as a valuable companion for students tackling hypothesis testing problems, including those typically encountered in SAS assignments. We will focus on demystifying the process of hypothesis testing, breaking it down into manageable steps, and showcasing Excel's capabilities for conducting various tests commonly encountered in introductory statistics courses.

Understanding the Basics

Hypothesis testing is a fundamental concept in statistics that allows researchers to draw conclusions about a population based on sample data. At its core, hypothesis testing involves making a decision about whether a statement regarding a population parameter is likely to be true. This decision is based on the analysis of sample data and is guided by two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha). The null hypothesis represents the status quo or the absence of an effect. It suggests that any observed differences or relationships in the sample data are due to random variation or chance. On the other hand, the alternative hypothesis contradicts the null hypothesis and suggests the presence of an effect or difference in the population. It reflects the researcher's belief or the hypothesis they aim to support with their analysis.

Formulating Hypotheses

In Excel, students can easily formulate hypotheses using simple formulas and logical operators. For instance, suppose a researcher wants to test whether the mean of a sample is equal to a specified value. They can use the AVERAGE function in Excel to calculate the sample mean and then compare it to the specified value using logical operators like "=" for equality. If the calculated mean is equal to the specified value, it supports the null hypothesis; otherwise, it supports the alternative hypothesis.

Excel's flexibility allows students to customize their hypotheses based on the specific parameters they are testing. Whether it's comparing means, proportions, variances, or other population parameters, Excel provides a user-friendly interface for formulating hypotheses and conducting statistical analysis.

Selecting the Appropriate Test

Excel offers a plethora of functions and tools for conducting various types of hypothesis tests, including t-tests, z-tests, chi-square tests, and ANOVA (analysis of variance). However, selecting the appropriate test requires careful consideration of the assumptions and conditions associated with each test. Students should familiarize themselves with the assumptions underlying each hypothesis test and assess whether their data meets those assumptions. For example, t-tests assume that the data follow a normal distribution, while chi-square tests require categorical data and independence between observations.

Furthermore, students should consider the nature of their research question and the type of data they are analyzing. Are they comparing means of two independent groups or assessing the association between categorical variables? By understanding the characteristics of their data and the requirements of each test, students can confidently choose the appropriate hypothesis test in Excel.

T-tests are statistical tests commonly used to compare the means of two independent samples or to compare the mean of a single sample to a known value. These tests are valuable in various fields, including psychology, biology, economics, and more. In Excel, students can employ the T.TEST function to conduct t-tests, providing them with a practical and accessible way to analyze their data and draw conclusions about population parameters based on sample statistics.

Independent Samples T-Test

The independent samples t-test, also known as the unpaired t-test, is utilized when comparing the means of two independent groups. This test is often employed in experimental and observational studies to assess whether there is a significant difference between the means of the two groups. In Excel, students can easily organize their data into separate columns representing the two groups, calculate the sample means and standard deviations for each group, and then use the T.TEST function to obtain the p-value. The p-value obtained from the T.TEST function represents the probability of observing the sample data if the null hypothesis, which typically states that there is no difference between the means of the two groups, is true.

A small p-value (typically less than the chosen significance level, commonly 0.05) indicates that there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting a significant difference between the group means. By conducting an independent samples t-test in Excel, students can not only assess the significance of differences between two groups but also gain valuable experience in data analysis and hypothesis testing, which are essential skills in various academic and professional settings.

Paired Samples T-Test

The paired samples t-test, also known as the dependent t-test or matched pairs t-test, is employed when comparing the means of two related groups. This test is often used in studies where participants are measured before and after an intervention or when each observation in one group is matched or paired with a specific observation in the other group. Examples include comparing pre-test and post-test scores, analyzing the performance of individuals under different conditions, and assessing the effectiveness of a treatment or intervention. In Excel, students can perform a paired samples t-test by first calculating the differences between paired observations (e.g., subtracting the before-measurement from the after-measurement). Next, they can use the one-sample t-test function, specifying the calculated differences as the sample data. This approach allows students to determine whether the mean difference between paired observations is statistically significant, indicating whether there is a meaningful change or effect between the two related groups.

Interpreting the results of a paired samples t-test involves assessing the obtained p-value in relation to the chosen significance level. A small p-value suggests that there is sufficient evidence to reject the null hypothesis, indicating a significant difference between the paired observations. This information can help students draw meaningful conclusions from their data and make informed decisions based on statistical evidence. By conducting paired samples t-tests in Excel, students can not only analyze the relationship between related groups but also develop critical thinking skills and gain practical experience in hypothesis testing, which are valuable assets in both academic and professional contexts. Additionally, mastering the application of statistical tests in Excel can enhance students' data analysis skills and prepare them for future research endeavors and real-world challenges.

Chi-Square Test

The chi-square test is a versatile statistical tool used to assess the association between two categorical variables. In essence, it helps determine whether the observed frequencies in a dataset significantly deviate from what would be expected under certain assumptions. Excel provides a straightforward means to perform chi-square tests using the CHISQ.TEST function, which calculates the probability associated with the chi-square statistic.

Goodness-of-Fit Test

One application of the chi-square test is the goodness-of-fit test, which evaluates how well the observed frequencies in a single categorical variable align with the expected frequencies dictated by a theoretical distribution. This test is particularly useful when researchers wish to ascertain whether their data conforms to a specific probability distribution. In Excel, students can organize their data into a frequency table, listing the categories of the variable of interest along with their corresponding observed frequencies. They can then specify the expected frequencies based on the theoretical distribution they are testing against. For example, if analyzing the outcomes of a six-sided die roll, where each face is expected to occur with equal probability, the expected frequency for each category would be the total number of observations divided by six.

Once the observed and expected frequencies are determined, students can employ the CHISQ.TEST function in Excel to calculate the chi-square statistic and its associated p-value. The p-value represents the probability of obtaining a chi-square statistic as extreme or more extreme than the observed value under the assumption that the null hypothesis is true (i.e., the observed frequencies match the expected frequencies). Interpreting the results of the goodness-of-fit test involves comparing the calculated p-value to a predetermined significance level (commonly denoted as α). If the p-value is less than α (e.g., α = 0.05), there is sufficient evidence to reject the null hypothesis, indicating that the observed frequencies significantly differ from the expected frequencies specified by the theoretical distribution. Conversely, if the p-value is greater than α, there is insufficient evidence to reject the null hypothesis, suggesting that the observed frequencies align well with the expected frequencies.

Test of Independence

Another important application of the chi-square test in Excel is the test of independence, which evaluates whether there is a significant association between two categorical variables in a contingency table. This test is employed when researchers seek to determine whether the occurrence of one variable is related to the occurrence of another. To conduct a test of independence in Excel, students first create a contingency table that cross-tabulates the two categorical variables of interest. Each cell in the table represents the frequency of occurrences for a specific combination of categories from the two variables.

Similar to the goodness-of-fit test, students then calculate the expected frequencies for each cell under the assumption of independence between the variables. Using the CHISQ.TEST function in Excel, students can calculate the chi-square statistic and its associated p-value based on the observed and expected frequencies in the contingency table. The interpretation of the test results follows a similar procedure to that of the goodness-of-fit test, with the p-value indicating whether there is sufficient evidence to reject the null hypothesis of independence between the two variables.

Excel, despite being commonly associated with spreadsheet tasks, offers a plethora of features that make it a versatile and powerful tool for statistical analysis, especially for students diving into the intricacies of hypothesis testing. Its widespread availability and user-friendly interface make it accessible to students at various levels of statistical proficiency. However, the true value of Excel lies not just in its accessibility but also in its ability to facilitate a hands-on learning experience that reinforces theoretical concepts.

At the core of utilizing Excel for hypothesis testing is a solid understanding of the fundamental principles of statistical inference. Students need to grasp concepts such as the null and alternative hypotheses, significance levels, p-values, and test statistics. Excel provides a practical platform for students to apply these concepts in a real-world context. Through hands-on experimentation with sample datasets, students can observe how changes in data inputs and statistical parameters affect the outcome of hypothesis tests, thus deepening their understanding of statistical theory.

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