The F statistic increases when:
A) within-groups variance decreases.
B) between-groups variance decreases.
C) between-groups variance increases.
D) within-groups variance decreases and between-groups variance increases.

Question

Quizplus · Accepted Answer

The F statistic is a ratio of the variance between groups to the variance within groups. Therefore, it increases when the variance within groups decreases (making the denominator smaller) and the variance between groups increases (making the numerator larger), as both changes would result in a larger F statistic value.

The F Statistic Increases When