Module 12: Chi-Square Tests
Analyzing Categorical Data Using Chi-Square Tests
Module Learning Objectives
By the end of this module, you will be able to:
- Understand the chi-square distribution and its properties
- Perform a chi-square goodness of fit test to determine if sample data fits an expected distribution
- Conduct a chi-square test of independence to assess the relationship between two categorical variables
- Apply a chi-square test of homogeneity to compare distributions across multiple populations
- Choose the appropriate chi-square test based on the research question and study design
- Calculate expected frequencies and test statistics for all three chi-square tests
- Interpret chi-square test results and draw appropriate conclusions
- Check conditions and assumptions for valid chi-square testing
Start Here: Pre-Assessment
Before beginning the lessons, take the pre-assessment to gauge your current understanding of chi-square tests and categorical data analysis.
Take Pre-Assessment (5 questions)Lessons
Introduction to Chi-Square & Goodness of Fit
Learn about the chi-square distribution and how to test if sample data fits an expected distribution.
30-35 minutes
Start Lesson 1Test of Independence
Discover how to test whether two categorical variables are independent or associated using contingency tables.
30-35 minutes
Start Lesson 2Test of Homogeneity
Learn to compare distributions of a categorical variable across multiple populations or groups.
25-30 minutes
Start Lesson 3Choosing the Right Test
Master the decision-making process for selecting the appropriate chi-square test and checking conditions.
25-30 minutes
Start Lesson 4Practice & Assessment
Study Resources
Why Chi-Square Tests Matter
Chi-square tests are essential tools for analyzing categorical data in the real world:
- Market Research: Testing if customer preferences differ across regions
- Medical Studies: Determining if treatment outcomes are independent of patient demographics
- Quality Control: Checking if product defects follow expected patterns
- Social Science: Analyzing relationships between social variables like education and income level
- Genetics: Testing if observed genetic ratios match theoretical predictions
In this module, you'll learn when and how to apply each of the three chi-square tests to answer real-world research questions!
Suggested Learning Path
- Pre-Assessment - Establish your baseline (5 min)
- Lesson 1: Chi-Square & Goodness of Fit (30-35 min)
- Lesson 2: Test of Independence (30-35 min)
- Lesson 3: Test of Homogeneity (25-30 min)
- Lesson 4: Choosing the Right Test (25-30 min)
- Practice Problems - Reinforce your skills (60-90 min)
- Study Guide - Review all concepts (20-30 min)
- Module Quiz - Test your knowledge (30-40 min)
- Post-Assessment - Measure your growth (5 min)
Total estimated time: 4-5 hours