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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× | |
|---|---|---|---|---|
| Campo | Analisi di sopravvivenza | Analisi di sopravvivenza | Analisi di sopravvivenza | Analisi di sopravvivenza |
| Famiglia | Survival analysis | Survival analysis | Survival analysis | Survival analysis |
| Anno di origine≠ | 1972 | 1958 | 1966 | 1972 |
| Ideatore≠ | Cox, D. R. | Kaplan, E. L. & Meier, P. | Mantel, N. | Wayne Nelson & Odd Aalen |
| Tipo≠ | Semi-parametric hazard regression model | Non-parametric survival estimator | Non-parametric hypothesis test | Non-parametric cumulative hazard estimator |
| Fonte seminale≠ | Cox, 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 ↗ |
| Alias≠ | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | product-limit estimator, km curve, kaplan-meier sağkalım analizi | 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 |
| Correlati≠ | 3 | 2 | 2 | 5 |
| Sintesi≠ | 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 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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