Suppose I intend to regress continuous Y on binary X1, continuous X2 and 
the interaction X1X2.

People seem to agree that Y should be imputed conditionally on X1, X2 and X1X2.

Is it also the case, though, that X2 should be imputed conditionally on X1, 
Y and X1Y? In other words, since the slope of Y on X2 depends on X1, is the 
same true for the slope of X2 on Y?

For that matter, should X1 be imputed conditionally on X2, Y and X2Y?

I'd be grateful for your thoughts on this. In a more complex settings, this 
perspective leads to quite a lot of interactions being included in the 
imputation model.....

Best wishes,
Paul von Hippel

Paul von Hippel
Department of Sociology / Initiative in Population Research
Ohio State University
300 Bricker Hall
190 N. Oval Mall
Columbus OH 43210


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