Urn Sampling and the Proportional Hazard Model |
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Authors: | Davidov Ori Zelen Marvin |
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Institution: | (1) Biostatistics Program, Fred Hutchinson Cancer Research Center, 1100 Fairview Avenue North, MPE-665, Seattle, WA, 98109;(2) Department of Biostatistics, Harvard University and The Dana Farber Cancer Institute, 44 Binney Street, Boston, MA, 02115 |
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Abstract: | This paper investigates the urn sampling analogue for the score statistic relating survival to covariates assuming a proportional hazard model. The exact permutation distribution can be calculated as well as the exact low order moments for arbitrary censoring patterns. The asymptotic distribution of the score statistic is an easy consequence. The method is naturally extended to deal with the multivariate case, time varying covariates and interval censoring. Finally the relationship between the censoring process, the survival times and covariates are studied considering different reference sets for the distribution of the score statistic. Some assumptions about the censoring process are investigated and as a consequence the effect of censoring is clarified. |
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Keywords: | censoring permutation distribution proportional hazards urn sampling |
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