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Cox 비례 위험 회귀분석×클러스터링된 생존 데이터에 대한 공유 취약성 모형×Kaplan-Meier 생존 추정량×
분야생존분석생존분석생존분석
계열Survival analysisSurvival analysisSurvival analysis
기원 연도197219791958
창시자Cox, D. R.Vaupel, J.W., Manton, K.G. & Stallard, E.Kaplan, E. L. & Meier, P.
유형Semi-parametric hazard regression modelRandom effects survival modelNon-parametric survival estimator
원전Cox, 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 ↗
별칭cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonushared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık)product-limit estimator, km curve, kaplan-meier sağkalım analizi
관련332
요약Cox 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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