Which of the following regarding the assumption of sphericity is false?
A)When sphericity is violated, we need to adjust the degrees of freedom for any F-ratios affected by the violation.
B)The effect of violating sphericity is a loss of power (i.e., an increased probability of a Type II error).
C)Sphericity does not affect post hoc tests.
D)When sphericity is violated, the Bonferroni post hoc test can be used.

Question

Quizplus · Accepted Answer

This statement is false because when sphericity is violated, it can also affect post hoc tests. Sphericity is necessary for the validity of post hoc tests, and violation of sphericity can lead to inflated Type I error rates in post hoc tests. The Bonferroni post hoc test can still be used when sphericity is violated, but it may be overly conservative and result in decreased power. Therefore, options A, B, and D are true, and option C is false.

Which of the Following Regarding the Assumption of Sphericity Is