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Bayesian inference for contingency tables with given marginals

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Summary

In this paper we introduce a class of prior distributions for contingency tables with given marginals. We are interested in the structrre of concordance/discordance of such tables. There is actually a minor limitation in that the marginals are required to assume only rational values. We do argue, though, that this is not a serious drawback for all applicatory purposes. The posterior and predictive distributions given anM-sample are computed. Examples of Bayesian estimates of some classical indices of concordance are also given. Moreover, we show how to use simulation in order to overcome some difficulties which arise in the computation of the posterior distribution.

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Authors and Affiliations

  1. Università Commerciale «L. Bocconi», Milano

    Eugenio Melilli & Giovanni Petris

  2. Duke University, Durham

    Eugenio Melilli & Giovanni Petris

Authors
  1. Eugenio Melilli
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  2. Giovanni Petris
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Melilli, E., Petris, G. Bayesian inference for contingency tables with given marginals. J. It. Statist. Soc. 4, 215–233 (1995). https://doi.org/10.1007/BF02589103

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  • DOI: https://doi.org/10.1007/BF02589103

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