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Question: Suppose in a two-way factorial study, the fitted interactions abij are both statistically detectable and large in a practical sense.

(a) Is it reasonable to think of a Factor A effect without regard to the level of Factor B? Why or why not?

(b) Is it reasonable to think of a Factor A effect for each level of Factor B separately? Why or why not?

(c) Can Factor A effects be judged to be essentially the same at each separate level of Factor B? Why or why not?

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