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Objective Bayesian Inference for Bilateral Data.

ABSTRACT: 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.

SUBMITTER: M'lan CE

PROVIDER: S-EPMC4821170 | biostudies-literature | 2015 Mar

REPOSITORIES: biostudies-literature

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Objective Bayesian Inference for Bilateral Data.

M'lan Cyr Emile CE Chen Ming-Hui MH

Bayesian analysis 20150128 1

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 post ...[more]

PMID: 27057264

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