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Suppose a research 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.


Treatment

I II
Female

Male

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

b. 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?

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