Both main effects in a two-factor ANOVA turn out to be nonsignificant. Does this mean that the sample results showed no effects of the two factors beyond those expected by chance?
A) yes
B) no, if interaction is significant
C) no, if interaction is also insignificant
D) yes, if interaction is significant

Question

Quizplus · Accepted Answer

If the interaction is significant, it indicates that the effect of one factor depends on the level of the other factor, which means there are effects beyond those expected by chance, even if the main effects are nonsignificant.

Both Main Effects in a Two-Factor ANOVA Turn Out to Be