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Comparisons of Bayesian estimation procedures for two‐way contingency tables without interaction
Author(s) -
Jansen M.G.H.,
Snijders T.A.B.
Publication year - 1991
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1991.tb01292.x
Subject(s) - prior probability , contingency table , bayesian probability , mathematics , poisson distribution , statistics , multiplicative function , bayes estimator , econometrics , mathematical analysis
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.