title: The efficiency of a weighed log-rank test under a percent error misspecification model for the log hazard ratio.
abstract: For comparison of two survival distributions, it is natural to use a weighted log-rank test with weight function given by the log hazard ratio function that is anticipated a priori. This paper investigates the efficiency of this test when the a priori estimate of the log hazard ratio is subject to a specified percentage error. The test is shown to be the maximum efficiency robust test over the class of alternatives in question and a simple expression for the maximum efficiency is established.
authors.affiliation: Biostatistics Research Branch, National Heart, Lung, and Blood Institute, Bethesda, Maryland 20892.
authors.forename: D M
authors.initials: DM
authors.lastname: Zucker
mesh_terms: D002986:Clinical Trials as Topic / Q000379:methods*; D006801:Humans; D008433:Mathematics; D016016:Proportional Hazards Models; D016019:Survival Analysis