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Bayes' theorem

Definition
AI-generated

Identity relating posterior odds to prior odds times the likelihood ratio—conceptual backbone of Bayesian fine-mapping and colocalization priors.

Why it matters in GWAS

Statistical concepts underpin GWAS significance, effect estimation, relatedness random effects, multiple testing, fine-mapping priors, and post-GWAS multivariate methods.

Example usage

"Fine-mapping posteriors were updated via Bayes' theorem by combining functional priors with observed association likelihoods."

References

  • Casella G, Berger RL. (2002). Statistical Inference. Duxbury Press.
  • Wasserman L. (2004). All of Statistics. Springer.

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