Suppose a researcher conducts a two-factor study comparing two treatments (I and II) for males versus females. The structure of the study is shown in the following matrix. If the results show that...

Suppose a researcher conducts a two-factor study comparing two treatments (I and II) for males versus females. The structure of the study is shown in the following matrix.

If the results show that females have higher scores than males in treatment I and lower scores than males in treatment II, is it likely that there will be a main effect for gender? Is it likely that there will be an interaction?