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Biometrika 1983 70(1):111-119; doi:10.1093/biomet/70.1.111
© 1983 by Biometrika Trust
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Some test statistics for use in multistate survival analysis

F. Y. HSIEH, JOHN CROWLEY and DOUGLASS C. TORMEY

Boehringer Ingelheim Ltd, Ridgefield, Connecticut, U.S.A.
Fred Hutchinson Cancer Research Center Seattle, Washington, U.S.A.
Department of Human Oncology, University of Wisconsin Madison, Wisconsin, U.S.A.

Some current nonparametric methods related to the log rank test are extended to cover ordered categories of response, e.g. response, no change, progression, and to incorporate information on duration of response. As an example, data from a protocol for the treatment of advanced breast cancer are analysed. The powers of several tests for this special case of multistate survival data are compared by Monte Carlo simulation for both small and moderate samples from exponential and Weibull distributions.

Key Words: Monte Carlo study • Multistate Cox regression model • Multistate log rank test • Ordinal data • Semi-Markov model • Summary Kruskal—Wallis statistic • Survival data


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