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Some Tests for Comparing Cause-Specific Hazard Rates.

Abstract : We consider the competing risks problem with the available data in the form of times and causes of failure. In many practical situations (e.g. in deciding the most appropriate course of treatment for a patient) it is important to know whether the forces of two given risks are equal or whether one is more serious than the other. We propose some distribution-free tests for comparing their cause-specific hazard rates and cumulative incidence functions against ordered alternatives without making any assumptions on the nature of dependence between the risks. Both the censored and the uncensored cases are studied. The performance of the proposed tests is assessed in a simulation study. As an illustration we compare the risks of two types of cancer mortality (thyraic lymphoma and reticulum cell carcinoma) in a strain of laboratory mice.