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An automatic and proper Bayesian estimation analysis of 2×2 contingency tables with one and two fixed margins

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Summary

The Bayesian analysis of a 2×2 contigency table with one or two fixed margins is presented as an estimation problem when using Exponential Family likelihoods with two or one free parameters, respectively. The computation of the Jeffreys priors for one or two fixed marginals is then straightforward for the canonical parameter. Jeffreys priors are proper distributions, despite of the fact that the parameter spaces are unbounded. Coupling the Jeffreys prior with exponential likelihoods thus yields a proper and automatic Bayesian analysis. Two contingency tables with one and two fixed margins are then analysed.

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Authors and Affiliations

  1. Centro de Estadística y Software Matemático (CESMa) and Dept. de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Apartado 89000, 1080-A, Caracas, Venezuela

    María-Eglée Pérez

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  1. María-Eglée Pérez
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Pérez, ME. An automatic and proper Bayesian estimation analysis of 2×2 contingency tables with one and two fixed margins. Test 3, 101–112 (1994). https://doi.org/10.1007/BF02562696

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  • DOI: https://doi.org/10.1007/BF02562696

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