文章基本信息

标题：Objective Bayesian Inference for Bilateral Data
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作者：Cyr Emile M’lan ; Ming-Hui Chen
期刊名称：Bayesian Analysis
印刷版ISSN：1931-6690
电子版ISSN：1936-0975
出版年度：2015
卷号：10
期号：1
页码：139-170
DOI：10.1214/14-BA890
语种：English
出版社：International Society for Bayesian Analysis
摘要：This paper presents three objective Bayesian methods for analyzing bilateral data under Dallal’s model and the saturated model. Three parameters are of interest, namely, the risk difference, the risk ratio, and the odds ratio. We derive Jeffreys’ prior and Bernardo’s reference prior associated with the three parameters that characterize Dallal’s model. We derive the functional forms of the posterior distributions of the risk difference and the risk ratio and discuss how to sample from their posterior distributions. We demonstrate the use of the proposed methodology with two real data examples. We also investigate small, moderate, and large sample properties of the proposed methodology and the frequentist counterpart via simulations.