The three assumptions of a factorial ANOVA include: normality of distribution, independence of cases, and ______.
A) sphericity
B) homogeneity of variance
C) expected frequency equals zero
D) Both sphericity and expected frequency equals zero

Question

Quizplus · Accepted Answer

The assumption of homogeneity of variance refers to the requirement that the variance of the dependent variable is equal across all groups created by the independent variables in the design. This assumption is necessary because ANOVA tests compare the variability within groups to the variability between groups, and unequal variances can lead to inaccurate results. Normality of distribution and independence of cases are also important assumptions for ANOVA, but they are not listed as choices in this question. Sphericity refers to the assumption that the variances of differences between all possible pairs of treatments are equal. Expected frequency equals zero is not a relevant assumption for ANOVA.

The Three Assumptions of a Factorial ANOVA Include: Normality of Distribution