A two-factor study compares 2 levels of factor A and 2 levels of factor B with a sample of n = 20 participants in each treatment condition.If the results are evaluated with a two-factor ANOVA,all the F-ratios will have df = 1,76.

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The degrees of freedom for the F-ratios in a two-factor ANOVA are (df between groups, df within groups). In this case, there are 2 levels of each factor, so there are 1 degree of freedom between groups for each factor and 1 degree of freedom for the interaction. The within-groups degrees of freedom are calculated as (n - 1) * (number of groups), which is (20 - 1) * (2 * 2) = 76. Therefore, the degrees of freedom for all the F-ratios will be (1, 76).

A Two-Factor Study Compares 2 Levels of Factor a and 2