The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B. Based on this information, what can you conclude about the interaction between the two factors?

The interaction of factor A and factor B will surely be significant

Explanation:

In multi factor experiments, if the main factors are significant, the interactive effect will also be significant.

But if the effect of a factor is significant and the other is not significant, the interactive effect may or may not be significant.

If the effect of both factors are not significant, the interactive effect cannot be significant.