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Biometrika 1991 78(3):621-630; doi:10.1093/biomet/78.3.621
© 1991 by Biometrika Trust
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Relative efficiency of the log rank test within a multiplicative intensity model

ERIC SLUD

Mathematics Department, University of Maryland College Park, Maryland 20742, U.S.A.

For large-sample clinical trials with independent individuals randomly allocated to two treatment groups, in which survival times follow a log linear multiplicative intensity model with treatment group as one covariate, this paper calculates the asymptotic relative efficiency of the log rank test for treatment effect as compared with the optimal score test. The method is to exhibit the failure hazard intensity, not of proportional hazards form, obtained by ignoring all covariates other than treatment group. The efficiency formulae are illustrated in two examples, and estimation from data of the loss of efficiency is illustrated for two clinical trial datasets.

Key Words: Clinical trial • Failure intensity with respect to an observed history • Omitted covariates • Precursor event • Time-dependent covariate • Two-sample survival data


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