THE ASYMPTOTIC PROPERTIES OF NONPARAMETRIC-TESTS FOR COMPARING SURVIVAL DISTRIBUTIONS
THE ASYMPTOTIC PROPERTIES OF NONPARAMETRIC-TESTS FOR COMPARING SURVIVAL DISTRIBUTIONS
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DOI：
10.1093/biomet/68.1.316
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发表时间：
1981-01-01
期刊：
影响因子：
2.7
通讯作者：
SCHOENFELD, D
中科院分区：
文献类型：
--
作者：
SCHOENFELD, D
另一种假设下的渐近分布推导出一类统计用于测试两个生存分布的平等存在的任意，并可能不平等，右删失。检验统计量包括等价于对数秩统计量、修正的Wilcoxon统计量和Peto & Peto提出的秩不变检验方法。当截尾分布相等且风险函数成比例时，用于比较指数样本的F检验的样本容量公式对对数秩检验是有效的。在某些情况下，对数秩检验的功效随着删失量的减少而福尔斯。
The asymptotic distribution under alternative hypotheses is derived for a class of statistics used to test the equality of two survival distributions in the presence of arbitrary, and possibly unequal, right censoring. The test statistics include equivalents to the log rank statistic, the modified Wilcoxon statistic and the class of rank invariant test procedures introduced by Peto & Peto. When there are equal censoring distributions and the hazard functions are proportional the sample size formula for theFtest used to compare exponential samples is shown to be valid for the log rank test. In certain situations the power of the log rank test falls as the amount of censoring decreases.