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| Παλινδρόμηση Αναλογικών Κινδύνων του Cox× | Μοντέλο Κοινής Αδυναμίας για Ομαδοποιημένα Δεδομένα Επιβίωσης× | Δοκιμή Log-Rank για Σύγκριση Καμπυλών Επιβίωσης× | |
|---|---|---|---|
| Πεδίο | Ανάλυση Επιβίωσης | Ανάλυση Επιβίωσης | Ανάλυση Επιβίωσης |
| Οικογένεια | Survival analysis | Survival analysis | Survival analysis |
| Έτος προέλευσης≠ | 1972 | 1979 | 1966 |
| Δημιουργός≠ | Cox, D. R. | Vaupel, J.W., Manton, K.G. & Stallard, E. | Mantel, N. |
| Τύπος≠ | Semi-parametric hazard regression model | Random effects survival model | Non-parametric hypothesis test |
| Θεμελιώδης πηγή≠ | 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 ↗ | 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 ↗ |
| Εναλλακτικές ονομασίες≠ | cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler Regresyonu | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) | Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi |
| Συναφείς≠ | 3 | 3 | 2 |
| Σύνοψη≠ | 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. | 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. |
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