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t-Tests of Hypotheses About Means

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t-Tests of Hypotheses About Means

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6 hours to complete
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Gain insight into a topic and learn the fundamentals.
Beginner level

Recommended experience

6 hours to complete
Flexible schedule
Learn at your own pace

What you'll learn

  • Compare and contrast z- and t-distributions, and determine the appropriate test for various research situations.

  • Develop and generate hypotheses for differences between means and conduct the corresponding tests.

  • Calculate and interpret t-tests, effect sizes, and confidence intervals from raw data and summary statistics.

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Assessments

28 assignments

Taught in English

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This course is part of the Basic Inferential Statistics for Psychology Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate

There are 7 modules in this course

This is primarily aimed at first- and second-year undergraduates interested in psychology, data analysis, and quantitative research methods along with high school students and professionals with similar interests.

This course provides a comprehensive understanding of statistical methods for comparing means, focusing on the t-test. Students will learn to conduct and interpret one-sample, paired-samples, and independent-samples t-tests, using raw data and summary statistics. The course also covers calculation and interpretation of effect sizes, confidence intervals, and statistical power. Table of Contents: The t-Statistic The The Varieties of t-Tests and When To Use Them The One-Sample t-Test The Paired-Samples t-Test The Independent-Samples t-Test

This module introduces you to your PsycLearn Essentials course. Find out what’s included in this course and how to navigate the modules and lessons. You’ll also learn valuable study tips for successful learning.

What's included

7 readings

7 readingsTotal 23 minutes
  • Welcome to PsycLearn Essentials3 minutes
  • Survey: What Would You Like to See Next?2 minutes
  • How to Earn Certificates2 minutes
  • What’s in Your Course5 minutes
  • Study Tips for Success in PsycLearn Essentials5 minutes
  • Additional Information5 minutes
  • Representation in Research1 minute

This module provides a variety of information and tools from the American Psychological Association (APA) that will help inspire you as you complete your coursework and plan your career goals. Get discounted access to Academic Writer, APA’s online tool for writing effectively, as well as valuable advice that will help you develop and strengthen your skillset for learning success and future employment. Additionally, explore resources on various psychological issues. This module also includes APA resources on scholarly research and writing; a list of sites providing valuable resources on diversity, equity, and inclusion in psychology education and in the professional community; resources on a career in psychology; and links to career opportunities at the APA. You can also view videos that offer tips on dealing with stress.

What's included

8 readings

8 readingsTotal 19 minutes
  • Introduction to APA Resources5 minutes
  • Student Resources2 minutes
  • APA Style®, Research, and Writing2 minutes
  • Students from Diverse Ethnic, Cultural, and Economic Backgrounds2 minutes
  • Psychology Help Center2 minutes
  • Psychology Careers2 minutes
  • Careers and Internships at APA2 minutes
  • Other APA Resources2 minutes

What's included

3 videos3 readings3 assignments

3 videosTotal 10 minutes
  • Student’s t-test2 minutes
  • The t Family of Distributions6 minutes
  • Different Ways To Use the t-Test2 minutes
3 readingsTotal 11 minutes
  • t-Distributions2 minutes
  • Differences Between t and z4 minutes
  • Selecting the Appropriate t-Test5 minutes
3 assignmentsTotal 13 minutes
  • Module Quiz: The t-Statistic5 minutes
  • Check your understanding: Student’s t2 minutes
  • Check your understanding: Which t-Test?6 minutes

We have learned that one-sample t-tests can be used to help us compare a sample mean to a population mean where the population mean is known, but the population standard deviation is unknown. For example, if we wanted to compare the mean number of sleep hours among college students on one campus to the mean number of sleep hours among U.S. college students, what process would we follow to conduct a null hypothesis significance test using a one-sample t-test? This module explains that process.

What's included

9 videos8 readings8 assignments

9 videosTotal 21 minutes
  • Standard Error of the Mean Calculation Example1 minute
  • Using the t-Table1 minute
  • The PsycLearn t-Tests Data Set3 minutes
  • One-Sample t-Test in jamovi4 minutes
  • t-Test Reports in jamovi3 minutes
  • Calculating Effect Size1 minute
  • Calculating a Confidence Interval3 minutes
  • Loading the jamovi Power Module1 minute
  • Using the jamovi jpower Tool5 minutes
8 readingsTotal 36 minutes
  • Getting Started With the One-Sample t-Test7 minutes
  • Step 1: Hypotheses2 minutes
  • Step 2: The Criterion6 minutes
  • Step 3: Calculate the Test Statistic5 minutes
  • Step 4: State a Decision3 minutes
  • Effect Size for One-Sample t-Tests5 minutes
  • Confidence Intervals for One-Sample t-Tests3 minutes
  • Doing Power Calculations5 minutes
8 assignmentsTotal 40 minutes
  • Module Quiz: One-Sample t-Test10 minutes
  • Check your understanding: Step 1: Hypothesis7 minutes
  • Check your understanding: Step 2: The Criterion6 minutes
  • Check your understanding: Step 3: Calculate the Test Statistic3 minutes
  • Check your understanding: Step 4: State a Decision1 minute
  • Check your understanding: Using jamovi for One-Sample t-Tests5 minutes
  • Check your understanding: Effect Size and Confidence Intervals5 minutes
  • Check your understanding: Power Calculations for t-Tests3 minutes

The paired-samples t-test is used when we take two measurements from each observation in a sample and want to compare the mean of the first measurement to the mean of the second measurement. For example, if we wanted to compare the number of goals a soccer team scored in the first half during a season to the number they scored in the second half, for each observation (game) we would record two measurements, goals scored in the first half and goals scored in the second half, allowing us to compare the mean first half score against the mean second half score.

What's included

2 videos7 readings8 assignments

2 videosTotal 5 minutes
  • Standard Error Calculation for Paired-Samples t-Test2 minutes
  • Paired-Samples t-Test in jamovi3 minutes
7 readingsTotal 26 minutes
  • Getting Started With the Paired-Samples t-Test3 minutes
  • Step 1: Hypotheses3 minutes
  • Step 2: The Criterion7 minutes
  • Step 3: Calculate the Test Statistic4 minutes
  • Step 4: State a Decision2 minutes
  • Step 5: Effect Size3 minutes
  • Step 6: Confidence Intervals4 minutes
8 assignmentsTotal 30 minutes
  • Module Quiz: Paired-Samples t-Test10 minutes
  • Check your understanding: Step 1: Hypotheses2 minutes
  • Check your understanding: Step 2: The Criterion4 minutes
  • Check your understanding: Step 3: Calculate the Test Statistic3 minutes
  • Check your understanding: Step 4: State a Decision2 minutes
  • Check your understanding: Step 5: Effect Size2 minutes
  • Check your understanding: Step 6: Confidence Intervals2 minutes
  • Check your understanding: Using jamovi for a Paired-Samples t-Test5 minutes

The independent-samples t-test is used when we take measurements from each observation in two separate groups and want to compare the mean of the first group to the mean of the second group. For example, if we wanted to compare the average level of happiness for a control group and a group that experienced a gratitude-exercise intervention, we would use an independent-samples t-test.

What's included

2 videos7 readings8 assignments

2 videosTotal 5 minutes
  • Standard Error Calculation for Independent-Samples t-Test2 minutes
  • Independent-Samples t-Test in jamovi3 minutes
7 readingsTotal 40 minutes
  • Getting Started With the Independent-Samples t-Test5 minutes
  • Step 1: Hypotheses10 minutes
  • Step 2: The Criterion9 minutes
  • Step 3: Calculate the Test Statistic6 minutes
  • Step 4: State a Decision2 minutes
  • Step 5: Effect Size5 minutes
  • Step 6: Confidence Intervals3 minutes
8 assignmentsTotal 42 minutes
  • Module Quiz: Independent-Samples t-Test10 minutes
  • Check your understanding: Step 1: Hypotheses5 minutes
  • Check your understanding: Step 2: The Criterion7 minutes
  • Check your understanding: Step 3: Calculate the Test Statistic3 minutes
  • Check your understanding: Step 4: State a Decision2 minutes
  • Check your understanding: Step 5: Effect Size3 minutes
  • Check your understanding: Step 6: Confidence Intervals]7 minutes
  • Check your understanding: Using jamovi for an Independent-Samples t-Test5 minutes

What's included

10 readings1 assignment

10 readingsTotal 30 minutes
  • Reading: Key Terms1 minute
  • References10 minutes
  • Introduction to APA Resources5 minutes
  • Student Resources2 minutes
  • APA Style®, Research, and Writing2 minutes
  • Students from Diverse Ethnic, Cultural, and Economic Backgrounds2 minutes
  • Psychology Help Center2 minutes
  • Psychology Careers2 minutes
  • Careers and Internships at APA2 minutes
  • Other APA Resources2 minutes
1 assignmentTotal 15 minutes
  • Course Quiz: t-Tests in Psychology15 minutes

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American Psychological Association
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