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| 생존 회귀× | Cox 비례 위험 회귀분석× | Weibull 모수 생존 회귀분석× | |
|---|---|---|---|
| 분야≠ | 통계학 | 생존분석 | 생존분석 |
| 계열≠ | Regression model | Survival analysis | Survival analysis |
| 기원 연도≠ | 1980s | 1972 | 1951 |
| 창시자≠ | Kalbfleisch & Prentice; Cox & Oakes | Cox, D. R. | Waloddi Weibull |
| 유형≠ | Parametric survival model | Semi-parametric hazard regression model | Fully parametric survival regression model |
| 원전≠ | Kalbfleisch, J. D., & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. ISBN: 978-0471363576 | 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 ↗ |
| 별칭 | accelerated failure time model, AFT model, parametric survival model, time-to-event regression | 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 |
| 관련≠ | 3 | 3 | 4 |
| 요약≠ | Survival regression models the time until an event occurs — such as death, failure, or relapse — as a function of covariates. Unlike ordinary regression, it properly accounts for censored observations (cases where the event had not yet occurred at the end of follow-up) by specifying a parametric distribution for the survival time and estimating covariate effects via maximum likelihood. | 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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