WEIGHTED LOG RANK TYPE STATISTICS FOR COMPARING SURVIVAL CURVES WHEN THERE IS A TIME-LAG IN THE EFFECTIVENESS OF TREATMENT
WEIGHTED LOG RANK TYPE STATISTICS FOR COMPARING SURVIVAL CURVES WHEN THERE IS A TIME-LAG IN THE EFFECTIVENESS OF TREATMENT
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DOI：
10.2307/2337108
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发表时间：
1990-12-01
期刊：
影响因子：
2.7
通讯作者：
LAKATOS, E
中科院分区：
文献类型：
--
作者：
ZUCKER, DM;LAKATOS, E
在某些长期治疗试验中，人们预计在治疗完全有效之前会有一段滞后期。本文提出了两种加权对数等级类型统计数据，旨在在大范围的滞后范围内具有良好的效率：最大效率稳健统计数据和该统计数据的简化版本。这两种统计数据都可以像对数排名统计数据一样轻松计算。小样本模拟支持的渐近效率计算表明，在某些滞后情况下，所提出的两种统计量比传统的对数秩统计量更有效，并且相对于不存在滞后时的对数秩统计量，效率损失相对较小。对于预计会有滞后但无法提前精确指定的情况，我们建议使用最大统计量。
In certain long-term treatment trials, one expects some lag period before the treatment is fully effective. This paper presents two weighted log rank type statistics designed to have good efficiency over a wide range of lags: a maximum efficiency robust statistic and a simplified version of this statistic. Both statistics can be computed as easily as the log rank statistic. Asymptotic efficiency calculations, supported by small sample simulations, show that the two proposed statistics are substantially more efficient than the conventional log rank statistic in certain lag situations with comparatively little efficiency loss relative to the log rank statistic when no lag exists. We recommend the maximum statistic for situations where a lag is expected but cannot be specified precisely in advance.