For an independent-measures two-factor analysis of variance,all F-ratios use the same denominator.

Question

Quizplus · Accepted Answer

In independent-measures two-factor analysis of variance, the denominator for each F-ratio depends on the mean square error (MSE) for each factor. MSE for a factor is calculated using the variability within groups of that factor. As the two factors may have different levels and sample sizes, their MSEs are unlikely to be the same. Therefore, each F-ratio will have a different denominator, and the claim that they all use the same denominator is false.

For an Independent-Measures Two-Factor Analysis of Variance,all F-Ratios Use the Same