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2015 ; 10
(1
): 139-170
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Objective Bayesian Inference for Bilateral Data
#MMPMID27057264
M'lan CE
; Chen MH
Bayesian Anal
2015[Mar]; 10
(1
): 139-170
PMID27057264
show ga
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.