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The Greenhouse-Geisser correction can be used when this condition is not present. For 10 points each:
[10h] Name this statistical condition where the variances of the differences between all combinations of related groups are equal. Mauchly's W is a statistical test to validate this condition.
ANSWER: sphericity [prompt on epsilon-hat; reject “epsilon”]
[10m] Sphericity, normality, and randomness are the three univariate assumptions of the repeated-measures type of this test. The ratio of between-group and within-group variability equals the F-statistic in this statistical test.
ANSWER: ANOVA [or analysis of variance; accept repeated-measures ANOVA or rANOVA]
[10e] In Mauchly’s W, sphericity is taken as this statement. In general, this statement symbolized H-naught is rejected when the p value is below the significance level.
ANSWER: null hypothesis
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