A Test for Discriminating between Additive and Multiplicative Relative Risks in Survival Analysis

Elja Arjas and David Venzon

Journal of the Royal Statistical Society Series C, 1988, vol. 37, issue 1, 1-11

Abstract: The proportional hazards model of Cox (1972) specified a relative risk of the form exp(β'z) for a covariate vector z. We propose a test to detect true relative risks that are a less convex function of β'z than the exponential, e.g. a linear function. The technique exploits the expected overestimation of conditional probabilities of failure at the ends of the range of values of β'z. Simulations indicate that the test is slightly conservative and illustrate how power is lost with certain covariate distributions and censoring patterns.

Date: 1988
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