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Dec 15, 2020 at 19:42 comment added dimitriy Can you define the interactions effect more precisely? In a model like $E[Y \vert X]=\alpha +\beta \cdot X + \gamma \cdot X \times Z$, is the main effect of $X$ given by $\beta$, and the interaction effect by $\gamma \cdot Z$? Or is the interaction effect just $\gamma$ (which is often quite small relative to $\beta$, before multiplication by $Z$)?
Dec 15, 2020 at 17:53 comment added persephone I'm sorry. I meant main effects are typically larger, of course! This is a typo! Thanks for the suggestions!
Dec 15, 2020 at 17:52 history edited persephone CC BY-SA 4.0
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Dec 15, 2020 at 15:44 answer added Jake Westfall timeline score: 1
Dec 15, 2020 at 15:32 comment added Jake Westfall This is very similar to my old question Relative variances of higher-order vs. lower-order random terms in mixed models. IMO it's close enough that I consider this a duplicate -- for example, I think my answer to that old question also works as an answer to this question -- but I'll let OP be the judge I guess...
Dec 15, 2020 at 15:29 comment added kjetil b halvorsen Some examples: bmcmedresmethodol.biomedcentral.com/articles/10.1186/… ncbi.nlm.nih.gov/pmc/articles/PMC6815379
Dec 15, 2020 at 15:29 comment added fblundun An alternative view: in this post Andrew Gelman thinks that interactions tend to be smaller than main effects. There's some further discussion in the comments there.
Dec 15, 2020 at 15:21 history edited kjetil b halvorsen
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Dec 15, 2020 at 13:16 history edited persephone CC BY-SA 4.0
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Dec 15, 2020 at 12:06 history asked persephone CC BY-SA 4.0