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Chunk #59 — ONLINE METHODS — Bayesian credibility analyses

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Genetic variants associated with subjective well-being, depressive symptoms, and neuroticism identified through genome-wide analyses.
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We begin with univariate analyses of the GWAS results that do not incorporate the additional information from the quasi-replication analyses of the 16 lead SNPs reported in Table 1. We use the three subjective well-being-associated SNPs to illustrate our approach, but we use analogous procedures when analyzing depressive symptoms and neuroticism. We calculate credibility for each value π ∈ 0.01,0.02,…,0.99. For each assumed value of π, we estimate τSWB2 by maximum likelihood (Supplementary Note). For each SNP, we use Bayes’ rule to obtain a posterior estimate of credibility for each of the assumed values of π. Supplementary Figure 14 shows that for all considered values of π and all three SNPs, the posterior probability that the SNP is null is below 1%. Similar analyses of the depressive symptoms and neuroticism SNPs show that the posterior probability never exceeds 5%.