Two-sample statistics for testing the equality of survival functions against improper semi-parametric accelerated failure time alternatives: an application to the analysis of a breast cancer clinical trial.
This paper presents two-sample statistics suited for testing equality of survival functions against improper semi-parametric accelerated failure time alternatives. These tests are designed for comparing either the short- or the long-term effect of a prognostic factor, or both. These statistics are obtained as partial likelihood score statistics from a time-dependent Cox model. As a consequence, the proposed tests can be very easily implemented using widely available software. A breast cancer clinical trial is presented as an example to demonstrate the utility of the proposed tests.
Broët
Philippe
P
Department of Public Health and National Institute for Health and Medical Research (INSERM U472) Paul Brousse Hospital, Villejuif, France and Institut Curie, 26 rue d'Ulm, Paris, France. broet@vjf.inserm.fr
Tsodikov
Alexander
A
De Rycke
Yann
Y
Moreau
Thierry
T
D001943:Breast Neoplasms / Q000188:drug therapy / Q000401:mortality; D018572:Disease-Free Survival; D005260:Female; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D017697:Premenopause; D016016:Proportional Hazards Models; D016032:Randomized Controlled Trials as Topic; D016019:Survival Analysis; D013997:Time Factors; D017211:Treatment Failure