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| Model zajedničke frakture za klasterovane podatke o preživljavanju× | Zajednički model za longitudinalne podatke i podatke o vremenu do događaja× | |
|---|---|---|
| Oblast | Analiza preživljavanja | Analiza preživljavanja |
| Porodica | Survival analysis | Survival analysis |
| Godina nastanka≠ | 1979 | 2004 |
| Tvorac≠ | Vaupel, J.W., Manton, K.G. & Stallard, E. | Tsiatis, A.A. & Davidian, M.; Rizopoulos, D. |
| Tip≠ | Random effects survival model | Semiparametric regression model |
| Temeljni izvor≠ | 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 ↗ | Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press. DOI ↗ |
| Drugi nazivi≠ | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) | joint model, shared random effects model, longitudinal-survival joint model, Joint Model (Boylamsal + Sağkalım Birleşik Model) |
| Srodne≠ | 3 | 5 |
| Sažetak≠ | 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 joint model for longitudinal and time-to-event data, formalised by Tsiatis and Davidian in 2004 and extended comprehensively by Rizopoulos in 2012, simultaneously estimates a mixed-effects model for repeatedly measured biomarkers and a survival model for the time to an event, linking the two processes through shared random effects. It resolves two major problems that simpler approaches cannot handle: informative dropout from longitudinal studies and the endogeneity of time-varying biomarkers used as covariates in a Cox model. |
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