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An optimal Bayesian decision procedure for testing hypothesis in normal linear models based on intrinsic model posterior probabilities is considered. It is proven that these posterior probabilities are simple functions of the classical F-statistic, thus the evaluation of the procedure can be carried out analytically through the frequentist analysis of the(More)
This article addresses the problem of testing whether the vectors of regression coeecients are equal for two independent normal regression models when the error variances are unknown. This problem poses severe diiculties both to the frequentist and Bayesian approaches to statistical inference. In the former approach, normal hypothesis testing theory does(More)
This study used Bayesian inference to investigate the genotype x environment interaction in common bean grown in Mato Grosso do Sul State, and it also evaluated the efficiency of using informative and minimally informative a priori distributions. Six trials were conducted in randomized blocks, and the grain yield of 13 common bean genotypes was assessed. To(More)
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