What is the relationship among the separate F-ratios in a two-factor ANOVA?
A)They may have different df values but they all have the same denominator.
B)They all have the same df values and they all have the same denominator.
C)They may have different df values and may have different denominators.
D)They all have the same df values but they may have different denominators.

Question

What is the relationship among the separate F-ratios in a two-factor ANOVA?​
A)​They may have different df values but they all have the same denominator.
B)​They all have the same df values and they all have the same denominator.
C)​They may have different df values and may have different denominators.
D)​They all have the same df values but they may have different denominators.

Quizplus · Accepted Answer

The separate F-ratios in a two-factor ANOVA may have different degrees of freedom values but they all have the same denominator, which is the mean square error (MSE). Each F-ratio represents the variance between groups divided by the variance within groups for a specific factor. Since the denominator (MSE) is the same for each F-ratio, the F-ratios can be compared to determine if there is a significant main effect or interaction effect for each factor.

What Is the Relationship Among the Separate F-Ratios in a Two-Factor