Answer
See explanation
Work Step by Step
The difference between one-way ANOVA and two-way ANOVA lies in the number of factors being analyzed and the depth of insight they provide.
One-Way ANOVA
- Purpose: Tests for differences in means across one factor (independent variable).
- Example: Comparing test scores across three teaching methods.
- Design: One independent variable with multiple levels (e.g., Method A, B, C).
- Output: Tells you if group means differ, but not why or how they interact.
Two-Way ANOVA
- Purpose: Tests for differences across two factors, and also checks for interaction effects between them.
- Example: Comparing test scores across teaching methods and student gender.
- Design: Two independent variables, each with multiple levels.
- Output:
* Main effect of Factor A (e.g., teaching method)
* Main effect of Factor B (e.g., gender)
* Interaction effect (e.g., does teaching method work differently for males vs females?)
