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| 加速故障時間(AFT)モデル× | カプラン・マイヤー生存時間推定量× | 生存曲線比較のためのログランク検定× | 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 | 生存時間解析 | 生存時間解析 |
| 系統 | Survival analysis | Survival analysis | Survival analysis | Survival analysis |
| 提唱年≠ | 1992 | 1958 | 1966 | 1951 |
| 提唱者≠ | Wei, L. J. (seminal review 1992); origins in parametric survival literature | Kaplan, E. L. & Meier, P. | Mantel, N. | Waloddi Weibull |
| 種類≠ | Parametric survival regression model | Non-parametric survival estimator | Non-parametric hypothesis test | Fully parametric survival regression model |
| 原典≠ | Wei, L. J. (1992). The Accelerated Failure Time Model: A Useful Alternative to the Cox Regression Model in Survival Analysis. Statistics in Medicine, 11(14–15), 1871–1879. DOI ↗ | Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ | Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170. link ↗ | Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗ |
| 別名≠ | AFT model, parametric survival regression, Hızlandırılmış Başarısızlık Zamanı Modeli (AFT) | product-limit estimator, km curve, kaplan-meier sağkalım analizi | Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| 関連≠ | 3 | 2 | 2 | 4 |
| 概要≠ | The Accelerated Failure Time model is a parametric regression approach to survival analysis — formally reviewed and advocated by L. J. Wei in 1992 — in which covariates act as multiplicative factors that directly stretch or compress the time-to-event scale. Unlike the Cox proportional-hazards model, which models how covariates shift the hazard rate, AFT models express the covariate effect as an acceleration or deceleration of the time axis itself. | 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. | The log-rank test, developed by Nathan Mantel in 1966, is a non-parametric hypothesis test that compares the overall survival experience of two or more groups throughout the entire follow-up period. It is the standard companion to Kaplan-Meier curves and determines whether observed differences between curves are statistically meaningful. | 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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