- Joint modeling of longitudinal proportional measurements and survival time with a cure fraction
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- 论文类型： 期刊论文
- 发表时间： 2016-12-01
- 发表刊物： SCIENCE CHINA-MATHEMATICS
- 收录刊物： SCIE、Scopus
- 卷号： 59
- 期号： 12,SI
- 页面范围： 2427-2442
- ISSN号： 1674-7283
- 关键字： cure fraction; joint model; Laplace approximation; proportional data; simplex distribution; survival times
- 摘要： In cancer clinical trials and other medical studies, both longitudinal measurements and data on a time to an event (survival time) are often collected from the same patients. Joint analyses of these data would improve the efficiency of the statistical inferences. We propose a new joint model for the longitudinal proportional measurements which are restricted in a finite interval and survival times with a potential cure fraction. A penalized joint likelihood is derived based on the Laplace approximation and a semiparametric procedure based on this likelihood is developed to estimate the parameters in the joint model. A simulation study is performed to evaluate the statistical properties of the proposed procedures. The proposed model is applied to data from a clinical trial on early breast cancer.
