手法を比較

	ネルソン・アーレン累積ハザード推定量	生存曲線比較のためのログランク検定
分野	生存時間解析	生存時間解析
系統	Survival analysis	Survival analysis
提唱年	1972	1966
提唱者	Wayne Nelson & Odd Aalen	Mantel, N.
種類	Non-parametric cumulative hazard estimator	Non-parametric hypothesis test
原典	Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966.	Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170.
別名	Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi	Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi
関連	5	2
概要	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.	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.