Monte Carlo Exact Tests for Square Contingency Tables

Peter W. F. Smith, Jonathan J. Forster and John W. McDonald

Journal of the Royal Statistical Society Series A, 1996, vol. 159, issue 2, 309-321

Abstract: Square contingency tables arise frequently in social research. Typically, many of the off‐diagonal cell counts are small because of the social processes involved. This causes concern about the validity of using asymptotic tests and an exact test should be considered. We develop Markov chain Monte Carlo methods for estimating the exact conditional p‐value for various complex log‐linear models that are useful for the analysis of square contingency tables. These methods are used to analyse a sparse 8×8 intermarriage table.

Date: 1996
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