Bayesian estimation of log odds ratios from R × C and 2 × 2 × K contingency tables |
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| Authors: | Haydar Demirhan Canan Hamurkaroglu |
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| Institution: | Department of Statistics, Hacettepe University, Beytepe 06800, Ankara, Turkey |
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| Abstract: | In this paper, Bayesian estimation of log odds ratios over R × C and 2 × 2 × K contingency tables is considered, which is practically reasonable in the presence of prior information. Likelihood functions for log odds ratios are derived for each table structure. A prior specification strategy is proposed. Posterior inferences are drawn using Gibbs sampling and Metropolis–Hastings algorithm. Two numerical examples are given to illustrate the matters argued. |
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| Keywords: | Cholesky decomposition Gibbs sampling Metropolis– Hastings algorithm precision parameter |
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