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Biometrika 1979 66(1):105-113; doi:10.1093/biomet/66.1.105
© 1979 by Biometrika Trust
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Sequential forms of the log rank and modified Wilcoxon tests for censored data

DAVID JONES and JOHN WHITEHEAD

Department of Community Medicine, Westminster Medical School London
Department of Applied Statistics University of Reading

Sequential procedures for the comparison of two groups of survival times are considered. The assumption that the two survival curves are members of a Lehmann family, i.e. the proportional hazards model, leads to a sequential version of the log rank test. The alternative assumption of a logistic family leads to a sequential modified Wilcoxon test. Theoretical large-sample properties of both methods are assessed for trials of realistic dimensions by computer simulation.

Key Words: Censored observation • Clinical trial • Failure time • Log rank test • Modified Wilcoxon test • Rank test • Sequential analysis • Survival time • Wilcoxon test


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