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| Fælles model for longitudinelle data og tid-til-hændelses-data× | Shared Frailty Model for Clustered Survival Data× | |
|---|---|---|
| Fagområde | Overlevelsesanalyse | Overlevelsesanalyse |
| Familie | Survival analysis | Survival analysis |
| Oprindelsesår≠ | 2004 | 1979 |
| Ophavsperson≠ | Tsiatis, A.A. & Davidian, M.; Rizopoulos, D. | Vaupel, J.W., Manton, K.G. & Stallard, E. |
| Type≠ | Semiparametric regression model | Random effects survival model |
| Oprindelig kilde≠ | Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press. 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 ↗ |
| Aliasser≠ | joint model, shared random effects model, longitudinal-survival joint model, Joint Model (Boylamsal + Sağkalım Birleşik Model) | shared frailty model, random effects survival model, Frailty Modeli (Paylaşılan Kırılganlık) |
| Relaterede≠ | 5 | 3 |
| Resumé≠ | 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. | 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. |
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