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생존 곡선 비교를 위한 로그-순위 검정×Nelson-Aalen 누적 위험 추정량×
분야생존분석생존분석
계열Survival analysisSurvival analysis
기원 연도19661972
창시자Mantel, N.Wayne Nelson & Odd Aalen
유형Non-parametric hypothesis testNon-parametric cumulative hazard estimator
원전Mantel, 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 ↗
별칭Mantel 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
관련25
요약The 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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