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That xkcd cartoon on multiple comparisons that all of you were sending me a couple months ago

John Transue sent it in with the following thoughtful comment:

I’d imagine you’ve already received this, but just in case, here’s a cartoon you’d like. At first blush it seems to go against your advice (more nuanced than what I’m about to say by quoting the paper title) to not worry about multiple comparisons.

However, if I understand correctly your argument about multiple comparisons in multilevel models, the situation in this comic might have been avoided if shrinkage toward the grand mean (of all colors) had prevented the greens from clearing the .05 threshold. Is that right?