Since the value of F required to reject the null hypothesis becomes more extreme as the degrees of freedom become smaller,repeated measures analysis of variance might actually be less powerful than between-subjects analysis of variance when individual differences have only a minimal influence on the dependent variable.

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This is true. As the degrees of freedom decrease in repeated measures ANOVA, the critical F-value required to reject the null hypothesis becomes more extreme. Therefore, it may actually be less powerful than between-subjects ANOVA when individual differences have only a minimal influence on the dependent variable.

Since the Value of F Required to Reject the Null