Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University , Tehran, Iran.
Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University , Tehran, Iran.
J Biopharm Stat. 2020 Jul 3;30(4):689-703. doi: 10.1080/10543406.2020.1730876. Epub 2020 Mar 4.
In this paper, joint modeling of longitudinal ordinal measurements and time to some events of interest as competing risks is discussed. For this purpose, a latent variable sub-model under linear mixed-effects assumption is considered for modeling ordinal longitudinal measurements. Also, a Weibull cause-specific sub-model is used to model competing risks data. These two sub-models are simultaneously considered in a unique model by a shared parameter model framework. Some simulation studies are performed for illustration of the proposed approaches; also, the proposed approaches are used for analyzing 15 years of lipid and glucose follow-up study in Tehran.
本文讨论了同时对纵向有序测量和多个感兴趣事件的时间进行联合建模，这些事件为竞争风险。为此，在考虑线性混合效应假设的情况下，采用了潜在变量子模型来对有序纵向测量进行建模。同时，采用威布尔特定原因子模型来对竞争风险数据进行建模。通过共享参数模型框架，这两个子模型同时被考虑在一个统一的模型中。为了说明所提出的方法，进行了一些模拟研究；此外，还使用所提出的方法对德黑兰 15 年的脂质和葡萄糖随访研究进行了分析。
