Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Estimateur de risque cumulé de Nelson-Aalen× | Régression proportionnelle des risques de Cox× | Test du Log-Rank pour la Comparaison des Courbes de Survie× | |
|---|---|---|---|
| Domaine | Analyse de survie | Analyse de survie | Analyse de survie |
| Famille | Survival analysis | Survival analysis | Survival analysis |
| Année d'origine≠ | 1972 | 1972 | 1966 |
| Auteur d'origine≠ | Wayne Nelson & Odd Aalen | Cox, D. R. | Mantel, N. |
| Type≠ | Non-parametric cumulative hazard estimator | Semi-parametric hazard regression model | Non-parametric hypothesis test |
| Source fondatrice≠ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ | Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗ | 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 ↗ |
| Alias | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | 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 |
| Apparentées≠ | 5 | 3 | 2 |
| Résumé≠ | 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. | 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. |
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