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| Cox比例ハザード回帰× | ワイブル生存回帰 (Weibull Parametric Survival Regression)× | |
|---|---|---|
| 分野 | 生存時間解析 | 生存時間解析 |
| 系統 | Survival analysis | Survival analysis |
| 提唱年≠ | 1972 | 1951 |
| 提唱者≠ | Cox, D. R. | Waloddi Weibull |
| 種類≠ | Semi-parametric hazard regression model | Fully parametric survival regression model |
| 原典≠ | Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗ | Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗ |
| 別名 | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| 関連≠ | 3 | 4 |
| 概要≠ | 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. | Weibull regression is a fully parametric survival model, formalised by Kalbfleisch and Prentice, that assumes survival times follow a Weibull distribution. A shape parameter controls whether the hazard increases, decreases, or remains constant over time, while covariates shift the scale of the distribution to express how predictors affect survival. |
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