If a two-factor analysis of variance produces a statistically significant interaction,what can you conclude about the main effects?
A)Either the main effect for factor A or the main effect for factor B is also significant
B)Both the main effect for factor A and the main effect for factor B are significant
C)Neither the main effect for factor A nor the main effect for factor B is significant
D)The significance of the main effects is not related to the significance of the interaction

Question

Quizplus · Accepted Answer

The significance of an interaction effect in a two-factor analysis of variance (ANOVA) does not directly determine the significance of the main effects. Main effects and interaction effects test different hypotheses, and it's possible for an interaction to be significant while the main effects are not, or vice versa.

If a Two-Factor Analysis of Variance Produces a Statistically Significant