All of the assumptions for the one-way within-groups ANOVA are the same as those for the one-way between-groups ANOVA.

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The one-way within-groups ANOVA (also known as repeated measures ANOVA) and the one-way between-groups ANOVA have different assumptions due to the nature of the designs. Specifically, the within-groups ANOVA assumes sphericity (the variances of the differences between all combinations of related groups are equal), which is not an assumption for the between-groups ANOVA.

All of the Assumptions for the One-Way Within-Groups ANOVA Are