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| Regresi Cox dengan Kovariat yang Berubah Mengikut Masa× | Model Gabungan untuk Data Longitudinal dan Masa-ke-Peristiwa× | |
|---|---|---|
| Bidang | Analisis Survival | Analisis Survival |
| Keluarga | Survival analysis | Survival analysis |
| Tahun asal≠ | 1972 | 2004 |
| Pengasas≠ | Cox, D. R. (extended formulation by Therneau & Grambsch) | Tsiatis, A.A. & Davidian, M.; Rizopoulos, D. |
| Jenis≠ | Semi-parametric hazard regression model | Semiparametric regression model |
| Sumber perintis≠ | Therneau, T. M. & Grambsch, P. M. (2000). Modeling Survival Data: Extending the Cox Model. Springer. DOI ↗ | Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press. DOI ↗ |
| Alias≠ | time-varying covariate Cox model, extended Cox model, Zamana Bağlı Kovaryatlı Cox Regresyonu | joint model, shared random effects model, longitudinal-survival joint model, Joint Model (Boylamsal + Sağkalım Birleşik Model) |
| Berkaitan≠ | 4 | 5 |
| Ringkasan≠ | Time-dependent Cox regression is an extension of the standard Cox proportional hazards model, introduced through the counting-process formulation developed by Therneau and Grambsch (2000), that allows one or more predictor variables to take different values at different points in a subject's follow-up period. It is the method of choice whenever a covariate — such as a laboratory measurement, a medication dose, or a disease severity score — changes over time rather than remaining fixed from study entry. | 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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