Objective Bayesian multiple comparisons for normal variances. Issue 5 (24th March 2017)

• Record Type: Journal Article
• Authors: Kang, Sang Gil; Lee, Woo Dong; Kim, Yongku
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 5(2017)
• Page Start: 882
• Page End: 894
• Publication Date: 2017-03-24
• Subjects: Bayes factor -- fractional prior -- intrinsic prior -- multiple comparisons -- referenceprior; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2016.1235168
• Languages: English
• ISSNs: 0094-9655

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.