A CLASS OF RANK TEST PROCEDURES FOR CENSORED SURVIVAL-DATA
A CLASS OF RANK TEST PROCEDURES FOR CENSORED SURVIVAL-DATA
复制标题
DOI：
10.1093/biomet/69.3.553
复制
发表时间：
1982-01-01
期刊：
影响因子：
2.7
通讯作者：
FLEMING, TR
中科院分区：
文献类型：
--
作者：
HARRINGTON, DP;FLEMING, TR
针对右删失生存数据下的k样本问题，提出了一类线性秩统计量。该类包含对数秩检验（Mantel，1966;考克斯，1972）和一个基本上等同于Peto和Peto's（1972）的Wilcoxon检验的推广的检验作为特例。鞅理论被用来建立渐近正态性的检验统计量下考虑的零假设，并推导出表达式的渐近相对效率下连续序列的替代假设。一类的分布，这对应于类的秩统计量的意义上说，对于每个分布有一个统计与一些最佳的属性，用于检测位置的替代品从该分布。显示了一些Monte Carlo结果，这些结果呈现小样本行为。
A class of linear rank statistics is proposed for the k-sample problem with right-censored survival data. The class contains as special cases the log rank test (Mantel, 1966; Cox, 1972) and a test essentially equivalent to Peto and Peto''s (1972) generalization of the Wilcoxon test. Martingale theory is used to establish asymptotic normality of test statistics under the null hypotheses considered, and to derive expressions for asymptotic relative efficiencies under contiguous sequences of alternative hypotheses. A class of distributions is presented which corresponds to the class of rank statistics in the sense that for each distribution there is a statistic with some optimal properties for detecting location alternatives from that distribution. Some Monte Carlo results are displayed which present small sample behavior.