A new approach for joint modelling of longitudinal measurements and survival times with a cure fraction

被引：10

作者：

Song, Hui ^{[2
]}

Peng, Yingwei ^{[1
,2
,3
]}

Tu, Dongsheng ^{[1
,2
,4
]}

机构：

[1] Queens Univ, Dept Community Hlth & Epidemiol, Kingston, ON K7L 3N6, Canada

[2] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

[3] Queens Canc Res Inst, Div Canc Care & Epidemiol, Kingston, ON K7L 3N6, Canada

[4] Queens Canc Res Inst, NCIC Clin Trials Grp, Kingston, ON K7L 3N6, Canada

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 2012年 / 40卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Breast cancer; censored time; efficiency; EM algorithm; linear mixed $tt$ model; promotion time cure model; quality of life; MIXED-EFFECTS MODELS; GAMMA-FRAILTY MODEL; MIXTURE-MODELS; T-DISTRIBUTION; EM ALGORITHM; CANCER;

D O I：

10.1002/cjs.11127

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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: 207224; 2012 (c) 2012 Statistical Society of Canada

引用

页码：207 / 224

页数：18

共 30 条

[1] Two-stage estimation in copula models used in family studies
Andersen, EW
[J]. LIFETIME DATA ANALYSIS, 2005, 11 (03) : 333 - 350
[2] Generalized gamma frailty model
Balakrishnan, N.
Peng, Yingwei
[J]. STATISTICS IN MEDICINE, 2006, 25 (16) : 2797 - 2816
[3] Bayesian approaches to joint cure-rate and longitudinal models with applications to cancer vaccine trials
Brown, ER
Ibrahim, JG
[J]. BIOMETRICS, 2003, 59 (03) : 686 - 693
[4] A new Bayesian model for survival data with a surviving fraction
Chen, MH
Ibrahim, JG
Sinha, D
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1999, 94 (447) : 909 - 919
[5] A new joint model for longitudinal and survival data with a cure fraction
Chen, MH
Ibrahim, JG
Sinha, D
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2004, 91 (01) : 18 - 34
[6] CORNISH EA, 1954, AUST J PHYS, V7, P531
[7] Joint modelling of repeated measurements and time-to-event outcomes: The fourth Armitage lecture
Diggle, Peter J.
Sousa, Ines
Chetwynd, Amanda G.
[J]. STATISTICS IN MEDICINE, 2008, 27 (16) : 2981 - 2998
[8] Hogan JW, 1997, STAT MED, V16, P239
[9] Basic Concepts and Methods for Joint Models of Longitudinal and Survival Data
Ibrahim, Joseph G.
Chu, Haitao
Chen, Liddy M.
[J]. JOURNAL OF CLINICAL ONCOLOGY, 2010, 28 (16) : 2796 - 2801
[10] SEMIPARAMETRIC ESTIMATION OF RANDOM EFFECTS USING THE COX MODEL BASED ON THE EM ALGORITHM
KLEIN, JP
[J]. BIOMETRICS, 1992, 48 (03) : 795 - 806

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