Comparisons of Bayesian estimation procedures for two-way contingency tables without interaction |
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Authors: | MGH Jansen TAB Snijders |
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Institution: | Department of Education, University of Groningen Grote Rozenstraat 38, NL-9712 TJ Groningen The Netherlands;VSM - FPPSW, University of Groningen Grote Kruisstraat 2/1, NL-9712 TS Groningen The Netherlands |
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Abstract: | Bayesian and empirical Bayesian estimation methods are reviewed and proposed for the row and column parameters in two-way Contingency tables without interaction. Rasch's multiplicative Poisson model for misreadings is discussed in an example. The case is treated where assumptions of exchangeability are reasonable a priori for the unknown parameters. Two different types of prior distributions are compared, It appears that gamma priors yield more tractable results than lognormal priors. |
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Keywords: | lognormal prior Dirichlet prior gamma prior posterior mode Rasch's multiplicative Poisson model empirical Bayes estimation |
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