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Chunk #43 — 5. Discussion

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Bayesian methods for examining Hardy-Weinberg equilibrium.
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In this article, we have described a Bayesian approach to examination of HWE, using a variety of approaches to implementation. Depending on one's perspective the Bayesian need for prior specification may be judged a blessing or a curse. Certainly, great care is required in the specification of a prior distribution, as illustrated in the nine-allele example in which the “uniform over the simplex” prior under the saturated alternative was seen to be grossly inappropriate. However, under a particular prior, Bayes factors may be produced with the same ordering as asymptotic p-values, as we now briefly discuss.