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| Regresja proporcjonalnego hazardu Coxa× | Model wspólnej kruchości dla sklastrowanych danych przeżycia× | |
|---|---|---|
| Dziedzina | Analiza przeżycia | Analiza przeżycia |
| Rodzina | Survival analysis | Survival analysis |
| Rok powstania≠ | 1972 | 1979 |
| Twórca≠ | Cox, D. R. | Vaupel, J.W., Manton, K.G. & Stallard, E. |
| Typ≠ | Semi-parametric hazard regression model | Random effects survival model |
| Źródło pierwotne≠ | 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 ↗ |
| Inne nazwy≠ | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) |
| Pokrewne | 3 | 3 |
| Podsumowanie≠ | 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. |
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