Post-hoc comparisons are necessary when the overall F is significant and the independent variable has two levels.

Question

Quizplus · Accepted Answer

Post-hoc comparisons are not necessary when the independent variable has only two levels, since the significance of the independent variable can be directly determined by comparing the means of the two levels using an independent samples t-test or paired samples t-test, depending on the nature of the data. Post-hoc comparisons are typically used when the independent variable has three or more levels, to determine which specific pairs of levels differ significantly from each other.

Post-Hoc Comparisons Are Necessary When the Overall F Is Significant