Methods for Genetic Association Analysis with Heterogeneous Subgroups: from Meta-analyses to Gene-environment
نویسندگان
چکیده
A.1. Computation in ES Model. A particular ES model, describing an alternative hypothesis Ha, is fully specified by setting values for (φ, ω) and hyper-parameters (v1, . . . , vS , l1,m1, . . . , lS ,mS). Under the contrasting null model H0, we set φ = ω = 0 while keeping all other hyper-parameters the same. Let βs = (μs, βs), τs = σ −2 s and θ = (β1, . . . ,βs, τ1, . . . , τs, b̄), the marginal likelihood under model Ha can be written as (A.1)
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Bayesian Methods for Genetic Association Analysis with Heterogeneous Subgroups: from Meta-analyses to Gene-environment Interactions.
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