A researcher reports an F-ratio with df = 2,40 from a repeated-measures ANOVA.How many subjects participated in this experiment?
A)44
B)41
C)63
D)21

Question

A researcher reports an F-ratio with df = 2,40 from a repeated-measures ANOVA.How many subjects participated in this experiment?​
A)44​
B)​41
C)​63
D)​21

Quizplus · Accepted Answer

In a repeated-measures ANOVA, the degrees of freedom (df) for the within-subjects factor is calculated based on the number of subjects and the number of levels (conditions) of the repeated measure. The formula for the within-subjects df is df = (n - 1) * k, where n is the number of subjects and k is the number of conditions. Given df = 40 for the within-subjects factor, and knowing there are 2 levels (k = 2), we can rearrange the formula to solve for n: 40 = (n - 1) * 2. Solving for n gives n = 21. Therefore, 21 subjects participated in the experiment.

A Researcher Reports an F-Ratio with Df = 2,40 from a Repeated-Measures