If there are no main effects, then _________. A) MS_columns / MS_within-cells is less than F _crit B) MS_rows / MS_within-cells is less than F _crit C) MS_interaction / MS_within-cells is less than F_crit D) MS_columns / MS_within-cells is less than F _crit and MS_rows / MS_within-cells is less than F _crit

Question

Quizplus · Accepted Answer

When there are no main effects, we have to check for the interaction effect. The interaction effect measures whether the effect of one independent variable changes depending on the level of the other independent variable. The appropriate statistical test for the interaction effect is the F-test. So, if there are no main effects, we need to look at the F-statistic for the interaction effect. MS_columns / MS_within-cells is the F-statistic for the column effect, and MS_rows / MS_within-cells is the F-statistic for the row effect. So, if there are no main effects, then both F-statistics for the row and column effects will be less than their respective critical values, i.e., D is the correct choice.

If There Are No Main Effects, Then _________