Rank Tests Based on Censored Data and Their Sequential Analogues
Rank Tests Based on Censored Data and Their Sequential Analogues
复制标题
基于审查数据及其顺序类似物的排名测试
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
K. K. Lan
中科院分区：
文献类型：
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作者：
M. Gu;T. Lai;K. K. Lan
摘要虽然“评分”概念在构建完整数据的双样本排名统计中起着基础性作用，但本文讨论了其对偶性（两队博弈中的“支付”概念）如何导致在审查数据设置中根据给定得分函数构建双样本排名检验的通用方法。在这方面，一个有用的想法是评分函数的“支付变换”。此外，这种支付概念提供了非参数假设检验中经典曼-惠特尼方法对一般评分函数情况和审查数据设置的自然延伸。更重要的是，使用这种支付概念构建的排名测试具有分析上易于处理且计算上方便的序贯类似物，这对于交错进入的比较临床试验中的删失生存数据的序贯分析特别有意义。
SYNOPTIC ABSTRACTWhile the concept of “scoring” plays a fundamental role in the construction of two-sample rank statistics for complete data, this paper discusses how its dual – the concept of “payment” in a two-team game – leads to a general method of constructing two-sample rank tests from a given score function in the setting of censored data. A useful idea in this connection is the “payment transform” of a score function. Moreover, this payment concept provides a natural extension of the classical Mann-Whitney approach in nonparametric hypothesis testing to the case of general score functions and to the setting of censored data. More importantly, rank tests constructed using this payment concept have analytically tractable and computationally convenient sequential analogues, which are of particular interest in sequential analysis of censored survival data in comparative clinical trials with staggered entry.