Methoden vergleichen

	Cox-Proportional-Hazards-Regression	Log-Rank-Test zum Vergleich von Überlebenskurven	Nelson-Aalen-Schätzer für die kumulative Hazardfunktion
Fachgebiet	Überlebenszeitanalyse	Überlebenszeitanalyse	Überlebenszeitanalyse
Familie	Survival analysis	Survival analysis	Survival analysis
Entstehungsjahr	1972	1966	1972
Urheber	Cox, D. R.	Mantel, N.	Wayne Nelson & Odd Aalen
Typ	Semi-parametric hazard regression model	Non-parametric hypothesis test	Non-parametric cumulative hazard estimator
Wegweisende Quelle	Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202.	Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170.	Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966.
Aliasnamen	cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu	Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi	Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi
Verwandt	3	2	5
Zusammenfassung	Cox proportional hazards regression, introduced by D. R. Cox in 1972, is a semi-parametric model that estimates how one or more covariates affect the hazard — the instantaneous rate of experiencing an event — while leaving the baseline hazard function unspecified. It is the standard multivariable method in survival analysis and produces hazard ratios that quantify the relative risk associated with each predictor.	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.