WEIGHTED KAPLAN-MEIER STATISTICS - A CLASS OF DISTANCE TESTS FOR CENSORED SURVIVAL-DATA
WEIGHTED KAPLAN-MEIER STATISTICS - A CLASS OF DISTANCE TESTS FOR CENSORED SURVIVAL-DATA
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DOI：
10.2307/2531492
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发表时间：
1989-06-01
期刊：
影响因子：
1.9
通讯作者：
FLEMING, TR
中科院分区：
文献类型：
--
作者：
PEPE, MS;FLEMING, TR
针对双样本截尾数据问题，提出了一类基于Kaplan-Meier估计中加权差分的统计量。使用正权函数，这些统计量对随机排序的选择是直观的和敏感的。标准加权对数秩统计并不总是对这种选择敏感，特别是在危险函数交叉的情况下。在加权对数秩统计量和加权Kaplan-Meier （WKM）统计量之间进行了定性比较。给出了零渐近分布理论的一个表述，并详细讨论了权函数的选择。小样本模拟研究的结果表明，即使在比例风险选择下，这些统计数据也优于对数秩程序，并且在交叉风险选择下可能比它表现得更好。
A class of statistics based on the integrated weighted difference in Kaplan-Meier estimators is introduced for the two-sample censored data problem. With positive weight functions these statistics are intuitive for and sensitive against the alternative of stochastic ordering. The standard weighted log-rank statistics are not always sensitive against this alternative, particularly if the hazard functions cross. Qualitative comparisons are made between the weighted log-rank statistics and these weighted Kaplan-Meier (WKM) statistics. A statement of null asymptotic distribution theory is given and the choice of weight function is discussed in some detail. Results from small-sample simulation studies indicate that these statistics compare favorably with the log-rank procedure even under the proportional hazards alternative, and may perform better than it under the crossing hazards alternative.