Joint modeling of longitudinal proportional measurements and survival time with a cure fraction

被引:0
作者
Hui Song
YingWei Peng
DongSheng Tu
机构
[1] Dalian University of Technology,School of Mathematical Sciences
[2] Queen’s University,Departments of Public Health Sciences & Mathematics and Statistics
[3] Queen’s University,Canadian Cancer Trials Group
来源
Science China Mathematics | 2016年 / 59卷
关键词
cure fraction; joint model; Laplace approximation; proportional data; simplex distribution; survival times; 62N86; 62G05; 62P10;
D O I
暂无
中图分类号
学科分类号
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.
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页码:2427 / 2442
页数:15
相关论文
共 65 条
  • [1] Song H(1991)Sci China Math 2 Barndorff-Nielsen O E, Jørgensen B Some parametric models on the simplex. J Multivariate Anal 39 106-116
  • [2] Breslow N E(1972)Contribution to the discussion of D R. Cox (1972). J Roy Statist Soc Ser B 34 216-217
  • [3] Gould L A(2015)Joint modeling of survival and longitudinal non-survival data: Current methods and issues Stat Med 34 2181-2195
  • [4] Boye M E(2015)Simultaneous variable selection for joint models of longitudinal and survival outcomes Biometrics 71 178-187
  • [5] Crowther M J(2010)Basic concepts and methods for joint models of longitudinal and survival data J Clinical Oncology 28 2796-2801
  • [6] He Z(2007)The logistic transform for bounded outcome scores Biostatistics 8 72-85
  • [7] Tu W(1998)Randomized trial of intensive cyclophosphamide, epirubicin, and fluorouracil chemotherapy compared with cyclophosphamide, methotrexate, and fluorouracil in premenopausal women with node-positive breast cancer J Clinical Oncology 16 2651-2658
  • [8] Wang S(2013)A moving average Cholesky factor model in joint mean-covariance modeling for longitudinal data Sci China Math 56 2367-2379
  • [9] Ibrahim J G(2011)Joint semiparametric mean-covariance model in longitudinal study Sci China Math 54 145-164
  • [10] Chu H(2014)Model selection and diagnostics for joint modeling of survival and longitudinal data with crossing hazard rate functions Stat Med 33 4532-4546