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A new approach for joint modelling of longitudinal measurements and survival times with a cure fraction |
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| Authors: | Hui Song Yingwei Peng Dongsheng Tu |
| Affiliation: | 1. Department of Mathematics and Statistics, Queen's University, Kingston, ON, Canada K7L 3N6;2. Department of Community Health and Epidemiology, Queen's University, Kingston, ON, Canada K7L 3N6;3. Division of Cancer Care and Epidemiology, Queen's Cancer Research Institute, Kingston, ON, Canada K7L 3N6;4. NCIC Clinical Trials Group, Queen's Cancer Research Institute, Kingston, ON, Canada K7L 3N6 |
| Abstract: | The joint analysis of longitudinal measurements and survival data is useful in clinical trials and other medical studies. In this paper, we consider a joint model which assumes a linear mixed $tt$  model for longitudinal measurements and a promotion time cure model for survival data and links these two models through a latent variable. A semiparametric inference procedure with an EM algorithm implementation is developed for the parameters in the joint model. The proposed procedure is evaluated in a simulation study and applied to analyze the quality of life and time to recurrence data from a clinical trial on women with early breast cancer. The Canadian Journal of Statistics 40: 207–224; 2012 © 2012 Statistical Society of Canada |
| Keywords: | Breast cancer censored time efficiency EM algorithm linear mixed $tt$ model promotion time cure model quality of life MSC 2010: Primary 62N01 secondary 62P10 |