Breslow N E, Edler L, Berger J
Biometrics. 1984 Dec;40(4):1049-62.
A score test for the null hypothesis of proportional hazards against rank-regression alternatives is proposed as a complement to the logrank test for comparing censored survival curves. The test statistic has an asymptotic normal distribution that is independent of the logrank distribution under the null hypothesis, and its power is good against acceleration alternatives (i.e. with crossing hazards) where the logrank test fails. Monte Carlo studies indicate that its small-sample properties are comparable to those of the logrank and ranksum procedures.
针对比例风险原假设,提出了一种相对于秩回归备择假设的得分检验,作为比较删失生存曲线的对数秩检验的补充。检验统计量具有渐近正态分布,在原假设下该分布独立于对数秩分布,并且对于对数秩检验失效的加速备择假设(即具有交叉风险),其检验功效良好。蒙特卡罗研究表明,其小样本性质与对数秩检验和秩和检验程序的小样本性质相当。