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Regression Analysis of Additive Hazards Model With Latent Variables
Pan, Deng1; He, Haijin2; Song, Xinyuan2; Sun, Liuquan3
2015-09-01
Source PublicationJOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN0162-1459
Volume110Issue:511Pages:1148-1159
AbstractWe propose an additive hazards model with latent variables to investigate the observed and latent risk factors of the failure time of interest. Each latent risk factor is characterized by correlated observed variables through a confirmatory factor analysis model. We develop a hybrid procedure that combines the expectation maximization (EM) algorithm and the borrow-strength estimation approach to estimate the model parameters. We establish the consistency and asymptotic normality of the parameter estimators. Various nice features, including finite sample performance of the proposed methodology, are demonstrated by simulation studies. Our model is applied to a study concerning the risk factors of chronic kidney disease for Type 2 diabetic patients. Supplementary materials for this article are available online.
KeywordAdditive risk Borrow-strength estimation Factor analysis Latent trait Multiple correlated outcomes
DOI10.1080/01621459.2014.950083
Language英语
Funding ProjectResearch Grant Council of the Hong Kong Special Administration Region[GRF 404711] ; National Natural Science Foundation of China[11471277] ; National Natural Science Foundation of China[11231010] ; National Natural Science Foundation of China[11171330] ; National Natural Science Foundation of China[11021161] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; BCMIIS
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000365144600024
PublisherAMER STATISTICAL ASSOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21304
Collection应用数学研究所
Corresponding AuthorPan, Deng
Affiliation1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
2.Chinese Univ Hong Kong, Dept Stat, Hong Kong, Hong Kong, Peoples R China
3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Pan, Deng,He, Haijin,Song, Xinyuan,et al. Regression Analysis of Additive Hazards Model With Latent Variables[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,2015,110(511):1148-1159.
APA Pan, Deng,He, Haijin,Song, Xinyuan,&Sun, Liuquan.(2015).Regression Analysis of Additive Hazards Model With Latent Variables.JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,110(511),1148-1159.
MLA Pan, Deng,et al."Regression Analysis of Additive Hazards Model With Latent Variables".JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 110.511(2015):1148-1159.
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