To compute a one-way within-subjects ANOVA,we must assume both homogeneity of variance and homogeneity of covariance.

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In a one-way within-subjects ANOVA, the assumption of homogeneity of variance is relevant to the equality of variances across groups, while the assumption of homogeneity of covariance (sphericity) pertains to the equality of variances of the differences between all possible pairs of within-subject conditions. Both assumptions are important for the validity of the test results.

To Compute a One-Way Within-Subjects ANOVA,we Must Assume Both Homogeneity