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May 4, 2012 at 19:07 history edited Tristan CC BY-SA 3.0
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May 4, 2012 at 16:40 comment added Macro (+1) This is all true, but the original poster seemed to be describing a situation where the authors were trying to do model selection, and some of their candidate models were ones that did not include interactions - so their motivation was guided by AIC rather than by something substantive (which is always a dangerous thing to do, but apparently they've done it). When you're guided by something substantive, then the model structure should be dictated by that. But, when you're guided by a statistical criteria, leaving out main effects can have bad properties, as I've indicated in my answer.
May 4, 2012 at 3:51 history answered Tristan CC BY-SA 3.0