- Basic Concepts
- ANOVA test analyzes differences among means of multiple groups
- Test checks whether null hypothesis can be rejected
- ANOVA can be one-way or two-way depending on independent variables
- One-Way ANOVA
- Used with one independent variable to compare means of groups
- Null hypothesis states means are equal, alternative states they're not
- Cannot identify specific groups with significant means
- Two-Way ANOVA
- Uses two independent variables to examine main effects and interactions
- Assumes independent samples and normal distribution
- Groups should have same sample size and equal variances
- Key Components
- ANOVA table summarizes test results with five columns
- Test statistic calculated as MSB divided by MSE
- Critical value found using F(alpha, k-1, N-k) formula
- Limitations
- One-way ANOVA cannot identify specific groups with significant means
- Two-way ANOVA requires post hoc tests for specific group identification