On Comparing Cumulative Incidence Functions Using an Empirical Likelihood Ratio Type Test |
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Authors: | Hammou El Barmi Lahcen El Bermi |
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Affiliation: | 1. Department of Statistics and Computer Information Systems, Baruch College, The City University of New York, New York, New York, USAhammouelbarmi@baruch.cuny.edu;3. Departement de l'Informatique, Faculte des Sciences et Techniques, University Moulay Ismail, Errachidia, Morocco |
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Abstract: | We consider the competing risks problem with two risks and develop empirical likelihood ratio type tests for testing the null hypothesis that the cumulative incidence functions corresponding to these two risks are equal against the alternatives: (a) they are not equal and (b) they are linearly ordered. The asymptotic null distributions of the proposed test statistics are shown to have simple distribution-free representations in terms of a standard Brownian motion process. The results of a simulation study indicate that the proposed test for testing for the presence of the linear order is more powerful than a test designed for the same situation in Aly et al. (1994 Aly, E.A.A., Kochar, S.C., McKeague, I.W. (1994). Some tests for comparing cumulative incidence functions and cause-specific hazard rates. J. Am. Stat. Assoc. 89:994–999.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]). To illustrate the theoretical results, we discuss an example involving survival times of mice exposed to radiation. |
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Keywords: | Cumulative incidence functions Competing risks Empirical likelihood Hypotheses testing. |
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