A general model for testing the proportional hazards and the accelerated failure time hypotheses in the analysis of censored survival data with covariates

Censored survival data are analysed by regression models which require some assumptions on the waycovariates affect the hazard function. Praportional Hazards (PH) and Accelerated Failure Times (AFT) are the hypothese most often used in practice. A method is introduced here for testing the PH and the AFT hypotheses against a general model for the hazard function. Simulated and real data arepresented to show the usefulness of the method.