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对生存曲线进行比较的 Log-Rank 检验×Nelson-Aalen 累积风险估计量×
领域生存分析生存分析
方法族Survival analysisSurvival analysis
起源年份19661972
提出者Mantel, N.Wayne Nelson & Odd Aalen
类型Non-parametric hypothesis testNon-parametric cumulative hazard estimator
开创性文献Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170. link ↗Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗
别名Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank TestiNelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi
相关25
摘要The log-rank test, developed by Nathan Mantel in 1966, is a non-parametric hypothesis test that compares the overall survival experience of two or more groups throughout the entire follow-up period. It is the standard companion to Kaplan-Meier curves and determines whether observed differences between curves are statistically meaningful.The Nelson-Aalen estimator is a non-parametric estimator of the cumulative hazard function from right-censored time-to-event data. Developed by Wayne Nelson for reliability hazard plotting in 1972 and placed on a rigorous counting-process foundation by Odd Aalen in 1978, it accumulates the ratio of observed events to the number at risk at each event time, providing the natural hazard-scale companion to the Kaplan-Meier survival curve.
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ScholarGate方法对比: Log-Rank Test · Nelson-Aalen Estimator. 于 2026-06-19 检索自 https://scholargate.app/zh/compare