Module 10: Analysis of Variance (ANOVA)
Comparing Three or More Population Means
Module Learning Objectives
By the end of this module, you will be able to:
- Explain the purpose of ANOVA and why it's needed instead of multiple t-tests
- Understand the problem of α inflation with multiple comparisons
- Calculate and interpret the F-statistic as a ratio of between-group to within-group variance
- Construct and interpret an ANOVA table with sums of squares, degrees of freedom, and mean squares
- Perform one-way ANOVA to test if three or more population means are equal
- Conduct post-hoc tests (Tukey's HSD and Bonferroni) to identify which groups differ
- Check ANOVA assumptions: independence, normality, and equal variances
- Interpret ANOVA results and communicate findings in context
Pre-Assessment
Before starting the lessons, take the pre-assessment to measure your baseline knowledge of ANOVA concepts. This helps us understand what you already know and track your learning progress.
Start Pre-AssessmentLessons
Introduction to ANOVA
Learn what ANOVA is, why we need it instead of multiple t-tests, and understand the F-statistic as a comparison of between-group to within-group variance.
Estimated time: 25 minutes
Start Lesson 1One-Way ANOVA Procedure
Master the complete ANOVA procedure: calculating sums of squares, degrees of freedom, mean squares, and constructing the ANOVA table.
Estimated time: 35 minutes
Start Lesson 2Post-Hoc Tests
Learn how to identify which specific groups differ using Tukey's HSD and Bonferroni correction after finding a significant F-statistic.
Estimated time: 30 minutes
Start Lesson 3Assumptions and Conditions
Understand the three key ANOVA assumptions (independence, normality, equal variances), how to check them, and what to do if they're violated.
Estimated time: 25 minutes
Start Lesson 4Practice Problems
Test your understanding with 20 comprehensive practice problems covering all ANOVA concepts: conceptual understanding, calculations, post-hoc tests, and checking assumptions.
Practice Problems (20 questions)Module Quiz
Demonstrate mastery with a 15-question auto-graded quiz. You need 70% to pass. The quiz covers all four lessons with a mix of conceptual and computational questions.
Take Module Quiz (15 questions)Post-Assessment
After completing all lessons and practice, take the post-assessment to measure your learning gains. Compare your results to the pre-assessment!
Take Post-AssessmentStudy Resources
Study Guide
Comprehensive study guide with all formulas, ANOVA table templates, step-by-step procedures, and common mistakes to avoid. Perfect for exam prep!
View Study GuideQuick Reference
One-page cheat sheet with all essential ANOVA formulas, the ANOVA table structure, degrees of freedom, and assumptions checklist.
View Quick Reference