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what are the assumptions of the two-way repeated measures ANOVA
normality → unlikely to be a problem
Sphericity (homogeneity of covariance) → the variance in difference scores under each IV level pair should be reasonably equivalent
Equivalent sample size
when are the covariances homogeneous
when there is NO significant difference between covariances → if p <= .05 this null is rejected and the results are HETEROgenous
no non-parametric equivalent
what do you report if the F is significant?
must do posthoc pairwise comparisons

why do we rarely see above 3 IVs?
it reduces power