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A flexible link for joint modelling longitudinal and survival data accounting for individual longitudinal heterogeneity
Statistical Methods & Applications ( IF 1 ) Pub Date : 2021-04-02 , DOI: 10.1007/s10260-021-00566-6
Rui Martins

This work aims at jointly modelling longitudinal and survival HIV data by considering the sharing of a set of parameters of interest. For the CD4 longitudinal stochastic process we propose a regression model where individual heterogeneity is allowed to vary in terms of the mean and the variance, relaxing the usual assumption of a common variance for the longitudinal residuals. Along, we will be considering a hazard regression model to analyse the time between HIV/AIDS diagnostic and death. For introducing enough flexibility in the structure linking the longitudinal and survival processes, we consider time-varying coefficients. That is achieved using Penalized Splines and allows the relationship to vary in time. The CD4 residuals standard deviation is considered as a covariate in the hazard model, thus enabling to study the effect of the CD4 counts’ stability on the survival. The proposed framework surpasses the performance of the most “traditional” joint models, which generally consider a common variance and a time-invariant link.



中文翻译:

灵活的链接,可对纵向和生存数据进行联合建模,以说明各个纵向异质性

这项工作旨在通过考虑共享一组感兴趣的参数,共同对纵向和生存HIV数据进行建模。对于CD4纵向随机过程,我们提出了一个回归模型,其中允许个体异质性在均值和方差方面变化,从而放宽了通常的纵向残差方差假设。同时,我们将考虑一种危害回归模型来分析从HIV / AIDS诊断到死亡之间的时间。为了在连接纵向和生存过程的结构中引入足够的灵活性,我们考虑时变系数。这是使用惩罚样条曲线实现的,并允许关系随时间变化。CD4残差标准差在危险模型中被视为协变量,因此可以研究CD4计数稳定性对生存的影响。所提出的框架超越了大多数“传统”联合模型的性能,后者通常考虑了一个共同的方差和一个时不变的联系。

更新日期:2021-04-02
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