Methoden vergleichen
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| Cox-Proportional-Hazards-Regression× | Kaplan-Meier Überlebensschätzer× | Log-Rank-Test zum Vergleich von Überlebenskurven× | |
|---|---|---|---|
| Fachgebiet | Überlebenszeitanalyse | Überlebenszeitanalyse | Überlebenszeitanalyse |
| Familie | Survival analysis | Survival analysis | Survival analysis |
| Entstehungsjahr≠ | 1972 | 1958 | 1966 |
| Urheber≠ | Cox, D. R. | Kaplan, E. L. & Meier, P. | Mantel, N. |
| Typ≠ | Semi-parametric hazard regression model | Non-parametric survival estimator | Non-parametric hypothesis test |
| Wegweisende Quelle≠ | 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 ↗ |
| Aliasnamen≠ | 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 |
| Verwandt≠ | 3 | 2 | 2 |
| 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 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. |
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