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Biometrika 1998 85(1):179-188; doi:10.1093/biomet/85.1.179
© 1998 by Biometrika Trust
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A class of tests for the equality of k cause-specific hazard rates in a competing risks model

K. F. LAM

Department of Statistics, The University of Hong Kong Pokfulam Road, Hong Kong hrntlkf{at}hkucc.hku.hk

A class of asymptotically distribution-free tests for the equality of the k risks in a competing risks model is considered. The tests can be derived by martingale theory or by a marginal likelihood approach. When the risks are dependent, the quantities to be compared would be the cause-specific hazard rates or equivalently the pseudosurvivor functions related to the cause-specific hazard rates. This class of tests allows one to compare k risks simultaneously for k > 2, is able to handle possibly right-censored data and is extremely simple to apply. Choices of the optimal weight functions leading to the locally most powerful rank tests for a general class of semiparametric alternative hypotheses are discussed. The performances of the tests are studied by simulation under various alternative hypotheses.

Key Words: Competing risks model • Linear rank statistic • Locally most powerful rank test • Zero mean martingale


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