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johnlawrenceaspden comments on The Thyroid Madness: Two Apparently Contradictory Studies. Proof? - Less Wrong Discussion
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Agree with this too. On the one hand, Simpson's Paradox, on the other hand, Simpson's Paradox. But if you don't expect male/female confounder, it just gives you three goes at the magic p<0.05.
Frequentism. It's just broken.