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Regressione Cox dei rischi proporzionali×Stima di Kaplan-Meier della Sopravvivenza×Test Log-Rank per il Confronto di Curve di Sopravvivenza×Stimatore di rischio cumulativo di Nelson-Aalen×
CampoAnalisi di sopravvivenzaAnalisi di sopravvivenzaAnalisi di sopravvivenzaAnalisi di sopravvivenza
FamigliaSurvival analysisSurvival analysisSurvival analysisSurvival analysis
Anno di origine1972195819661972
IdeatoreCox, D. R.Kaplan, E. L. & Meier, P.Mantel, N.Wayne Nelson & Odd Aalen
TipoSemi-parametric hazard regression modelNon-parametric survival estimatorNon-parametric hypothesis testNon-parametric cumulative hazard estimator
Fonte seminaleCox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. 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 ↗Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗
Aliascox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonuproduct-limit estimator, km curve, kaplan-meier sağkalım analiziMantel 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
Correlati3225
SintesiCox 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 Kaplan-Meier estimator, introduced by Kaplan and Meier in 1958, is a non-parametric method that estimates the survival curve — the probability of remaining event-free over time — from right-censored time-to-event data. The log-rank test is the companion procedure used to compare survival curves between groups.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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ScholarGateConfronta i metodi: Cox Regression · Kaplan-Meier · Log-Rank Test · Nelson-Aalen Estimator. Consultato il 2026-06-19 da https://scholargate.app/it/compare