Nonparametric tests for cause specific hazard rates with censored data for competing risks among several groups |
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| Affiliation: | 1. The Alan Turing Institute, British Library, 96 Euston Road, London NW1 2DB, UK;2. Department of Statistical Science, University College London, 1–19 Torrington Place, London WC1E 7HB, UK;3. Department of Statistics, University of Warwick, Coventry CV4 7AL, UK;1. Department of Mathematics, Al-Azhar University, Nasr City, Cairo 11884, Egypt;2. Department of Mathematics, Al-Baha University, Saudi Arabia;3. Department of Mathematics, The University of Jordan, Amman 11942, Jordan;4. King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | For the competing risk setting where the lifetime data are due to one of several distinct and exclusive causes, comparison of cause-specific hazard rates is of interest to researchers. In this paper we survey existing methods for related tests and provide a new test for a common overall rate for all causes and groups. Tests given in the literature for checking for a common rate for causes and a common rate for the groups are shown to be in the same framework as the proposed test for common overall rate. Asymptotics are shown to follow a common theme for each test. An extensive numerical and graphical investigation and an example are presented to substantiate the proposed methods. |
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