The results of a one-way repeated-measures ANOVA with four levels on the independent variable revealed a significance value for Mauchly's test of p = 0.048. What does this mean?
A)That Tukey's test should be used.
B)The assumption of sphericity has been violated.
C)The assumption of sphericity has been met.
D)This value can be ignored because sphericity is not an issue in a one-way repeated-measures ANOVA design.

Question

Quizplus · Accepted Answer

Mauchly's test is used to test the assumption of sphericity, which states that the variances of the differences between all possible pairs of related groups are equal. If the significance value is less than 0.05, the assumption of sphericity has been violated, and adjustments to the ANOVA results (such as using a correction factor like Greenhouse-Geisser or Huynh-Feldt) must be made to obtain appropriate p-values and confidence intervals.

The Results of a One-Way Repeated-Measures ANOVA with Four Levels