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Biometrika 1976 63(2):271-276; doi:10.1093/biomet/63.2.271
© 1976 by Biometrika Trust
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Two-way contingency tables for complex sampling schemes

J. J. SHUSTER and D. J. DOWNING

Department of Statistics, University of Florida Gainesville
Department of Statistics, Marquette University Milwaukee

Methods for testing independence, quasiindependence, and marginal symmetry in contingency tables are derived for a wide variety of sampling schemes including stratified multistage cluster sampling. The null hypothesis is a vector of linear and quadratic contrasts involving the probabilities. The asymptotic null distribution of the test statistic is chi-squared. The theory can also be used to test equality of failure distributions in a stratified prospective multiclinio trial, jointly for all strata or merely population-wide.

Key Words: Censored survival data • Clinical trial • Cluster design • Contingency table • Independence • Marginal symmetry • Mover-stayer model • Quasiindependence


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