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Activity Number: 453
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #302599
Title: Bayesian Objective Testing of Hardy-Weinberg Equilibrium
Author(s): Brenda Betancourt*+ and Maria E. Perez
Companies: University of Puerto Rico and University of Puerto Rico
Address: Av Universidad # 4 Torre Norte, San Juan, PR, 00925, Puerto Rico
Keywords: Hardy-Weinberg equilibrium ; Intrinsic Priors ; Hypothesis Testing
Abstract:

Assessment of Hardy-Weinberg equilibrium is one of the basic problems in population genetics and it is far for being closed from the statistical point of view, as recent efforts in this direction prove. The selection of prior distributions for testing Hardy-Weinberg equilibrium is a difficult issue, as we are dealing with a low-dimensional null hypothesis. Recent advances in Objective Bayesian Analysis allow the construction of priors specially suited for Bayesian testing (intrinsic priors). In this work, an intrinsic prior for testing Hardy-Weinberg equilibrium is calculated from the uniform prior using training samples as in Casella and Moreno (2006). The prior obtained is a mixture of Dirichlet distributions. An analysis of sensitivity to different sizes of the training samples is shown.


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