Empirical Bayes methods for two-way contingency tables

doi:10.1093/biomet/65.3.581

Biometrika 1978 65(3):581-590; doi:10.1093/biomet/65.3.581
© 1978 by Biometrika Trust

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Empirical Bayes methods for two-way contingency tables

N. M. LAIRD

Department of Statistics, Harvard University Cambridge, Massachusetts

An empirical Bayes method for smoothing two-way tables is presented.It is based on the use of the log linear model and a normalprior distribution. Estimation of the variance component inthe prior is discussed, and two approximations are considered,one which utilizes the EM algorithm.

Key Words: Contingency table • EM algorithm • Empirical Bayes • Log linear model • Variance component estimation

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