Identifying direct risk factors in UK Biobank via simultaneous Bayesian-frequentist model-averaged hypothesis testing using Doublethink.

Proc Natl Acad Sci U S A · 2026 · PMC12773712 · PMID 41481468

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hedged sentence

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closest p

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boldest claim

The sentences

fell short of significanceno p-value reported

The latter two variables formed a post-hoc group with ‘N18.9 Chronic renal failure, unspecified’, though this group fell short of significance ( PP = 85.7, P * = 10 −3.08 ).

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