A signed rank test for censored paired lifetimes |
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Authors: | Sorana Froda |
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Institution: | Département de Mathématiques et d'Informatique , Université du Québec à Montréal , Montreal, Quebec, H3C 3P8, Canada |
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Abstract: | A locally most powerful signed rank test is proposed for the comparison of two independent lifetimes under the accelerated failure time model. The test is based on N independent pairs(Xi, Yi), i = 1, …, N: it is supposed that the shortest lifetime in each pair is observed and the experiment is stopped after r(r≤N and fixed) such lifetimes are available (type II censoring). Actual scores of the test statistic are computed for some specific source distributions of the observations. The asymptotic distribution of the test statistic, as well as the asymptotic power and efficiency are given. The values of these efficiencies are computed for the case where the Xi follow and exponential, Weibull Gamma or Rayleigh distribution. |
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Keywords: | survival analysis type II censoring nonparametric test |
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