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| Cox Proportional Hazards Regression× | Shared Frailty Model for Clustered Survival Data× | Kaplan-Meier overlevelsesestimator× | |
|---|---|---|---|
| Fagområde | Overlevelsesanalyse | Overlevelsesanalyse | Overlevelsesanalyse |
| Familie | Survival analysis | Survival analysis | Survival analysis |
| Oprindelsesår≠ | 1972 | 1979 | 1958 |
| Ophavsperson≠ | Cox, D. R. | Vaupel, J.W., Manton, K.G. & Stallard, E. | Kaplan, E. L. & Meier, P. |
| Type≠ | Semi-parametric hazard regression model | Random effects survival model | Non-parametric survival estimator |
| Oprindelig kilde≠ | Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗ | Vaupel, J.W., Manton, K.G. & Stallard, E. (1979). The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality. Demography, 16(3), 439–454. DOI ↗ | Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ |
| Aliasser≠ | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) | product-limit estimator, km curve, kaplan-meier sağkalım analizi |
| Relaterede≠ | 3 | 3 | 2 |
| Resumé≠ | 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 shared frailty model, introduced by Vaupel, Manton, and Stallard in 1979, extends standard survival regression by incorporating a random effect — the 'frailty' — that captures unobserved heterogeneity among subjects or clusters. When survival outcomes are measured on individuals who share a common environment (patients in the same hospital, members of the same family, animals in the same litter), a frailty term accounts for the within-cluster dependence that ordinary Cox regression ignores. | 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. |
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