In a two-way ANOVA, if there is a significant interaction between Factor A and Factor B , which of the following may be true?
A) the effect of Factor A is not the same at all levels of Factor B
B) the effect of Factor B is not the same at all levels of Factor A
C) the effects of the two Factors do not differ across levels
D) the effect of Factor A is not the same at all levels of Factor B and/or The effect of Factor B is not the same at all levels of Factor A
E) need more information

Question

Quizplus · Accepted Answer

If there is a significant interaction between Factor A and Factor B, it means that the effect of one factor is not the same across all levels of the other factor. Therefore, the effect of Factor A is not the same at all levels of Factor B and the effect of Factor B is not the same at all levels of Factor A.

In a Two-Way ANOVA, If There Is a Significant Interaction