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Objective Bayesian multiple comparisons for normal variances

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ABSTRAC This paper considers the multiple comparisons problem for normal variances. We propose a solution based on a Bayesian model selection procedure to this problem in which no subjective input… Click to show full abstract

ABSTRAC This paper considers the multiple comparisons problem for normal variances. We propose a solution based on a Bayesian model selection procedure to this problem in which no subjective input is considered. We construct the intrinsic and fractional priors for which the Bayes factors and model selection probabilities are well defined. The posterior probability of each model is used as a model selection tool. The behaviour of these Bayes factors is compared with the Bayesian information criterion of Schwarz and some frequentist tests.

Keywords: multiple comparisons; comparisons normal; normal variances; bayesian multiple; model selection; objective bayesian

Journal Title: Journal of Statistical Computation and Simulation
Year Published: 2017

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