Suppose a researcher analyzes the same dataset using both a two-way ANOVA for independent samples and a two-way ANOVA for correlated samples. The results will show a _______ F ratio and a _______ probability for each F ratio in the correlated-samples design.
A) smaller; smaller
B) larger; larger
C) smaller; larger
D) larger; smaller

Question

Quizplus · Accepted Answer

In a two-way ANOVA for correlated samples, the design accounts for within-subject variability, which typically results in a larger F ratio and a smaller probability (p-value) compared to an independent samples design.

Suppose a Researcher Analyzes the Same Dataset Using Both a Two-Way