Dear all,
my thought might be a bit naive, but please consider the follwing problem:
Asssume you are interested in the effect of x on y conditional on z. From a regression perspective, we would most likely use a product term in the form x*z to test this interactive relation (while also including x and z as separate predictors). However, the multiplicative approach implies that we could also use z*x, which would mean that the effect of z on y depends on x.
Although this seems straightforward from a statistical ppoint of view, from a theoretical perspective it might be important to distinguish whether x is moderated by z (Theory A) or z moderated by x (Theory B).
I am not aware of any method or approach to distinguish between such theoretical differences using a product term approach in multiple regression; are there any methodological alternatives?
Many thanks for your responses,
Tino
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