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2018-05-11(五),主講人:張馨文 教授 (中央研究院統計科學研究所)


統 計 學 研 究 所

專 題 演 講


講 題: Nonparametric testing for multiple survival functions with non-inferiority margins
演講者: 張馨文 教授 (中央研究院統計科學研究所)
時 間: 107年05月11日(星期五)11:10 - 12:00(10:50 - 11:10 茶會於統計所821室舉行)
地 點: 綜合三館837室
摘 要:

New nonparametric tests for the ordering of multiple survival functions are developed with the possibility of right censorship taken into account. The motivation comes from non-inferiority trials with multiple treatments. The proposed tests are based on nonparametric likelihood ratio statistics, which are known to provide more powerful tests than Wald-type procedures, but in this setting have only been studied for pairs of survival functions or in the absence of censoring. We introduce a novel type of pool adjacent violator algorithm that leads to a complete solution of the problem. The limit distributions can be expressed as weighted sums of squares involving projections of certain Gaussian processes onto the given ordered alternative. A simulation study shows that the new procedures have superior power to a competing combined-pairwise Cox model approach. We illustrate the proposed methods using data from a three-arm non-inferiority trial. (This is joint work with Dr. Ian W. McKeague.)


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