What is the consequence of violating the assumption of Sphericity?
A)It increases statistical power, effects the distribution of the F-statistic and raises the rate of Type I errors in post hocs.
B)It reduces statistical power, effects the distribution of the F-statistic and reduces the rate of Type I errors in post hocs.
C)It reduces statistical power, effects the distribution of the F-statistic and raises the rate of Type I errors in post hocs.
D)It reduces statistical power, improves the distribution of the F-statistic and raises the rate of Type I errors in post hocs.

Question

Quizplus · Accepted Answer

Violating the assumption of Sphericity reduces statistical power, affects the distribution of the F-statistic and raises the rate of Type I errors in post hocs. This is because the assumption of Sphericity assumes that the variances of the differences between all pairs of related groups are equal. If this assumption is not met, the F-ratio will overestimate the true variance, leading to a higher likelihood of Type I errors when using post-hoc tests.

What Is the Consequence of Violating the Assumption of Sphericity