Testing Hardy–Weinberg equilibrium: An objective Bayesian analysis
Article first published online: 20 OCT 2010
Copyright © 2010 John Wiley & Sons, Ltd.
Statistics in Medicine
Volume 30, Issue 1, pages 62–74, 15 January 2011
How to Cite
Consonni, G., Moreno, E. and Venturini, S. (2011), Testing Hardy–Weinberg equilibrium: An objective Bayesian analysis. Statist. Med., 30: 62–74. doi: 10.1002/sim.4084
- Issue published online: 3 JAN 2011
- Article first published online: 20 OCT 2010
- Manuscript Accepted: 18 AUG 2010
- Manuscript Received: 9 MAR 2010
- Bayes factor;
- Hardy–Weinberg equilibrium;
- intrinsic prior;
- model posterior probability;
We analyze the general (multiallelic) Hardy–Weinberg equilibrium problem from an objective Bayesian testing standpoint. We argue that for small or moderate sample sizes the answer is rather sensitive to the prior chosen, and this suggests to carry out a sensitivity analysis with respect to the prior. This goal is achieved through the identification of a class of priors specifically designed for this testing problem. In this paper, we consider the class of intrinsic priors under the full model, indexed by a tuning quantity, the training sample size. These priors are objective, satisfy Savage's continuity condition and have proved to behave extremely well for many statistical testing problems. We compute the posterior probability of the Hardy–Weinberg equilibrium model for the class of intrinsic priors, assess robustness over the range of plausible answers, as well as stability of the decision in favor of either hypothesis. Copyright © 2010 John Wiley & Sons, Ltd.