(1)I had a really enjoyable and spirited conversation with @GidMK . We see eye to eye on some things, and disagree about others. Yet were able to carry on a pleasant and productive discussion. The dude is a good faith actor who knows his shit and is committed to scientific rigor.
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This also matches the percentages given - 48,511 is 31.09% of 156,011, not 156,468. Not a major issue, but should probably be corrected
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As to residual confounding - there are numerous potential differences between people who got packs and those who didn't. For one thing, I don't see any discussion of SES in the paper, which is a pretty big potential confounder
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