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Generalized partial linear varying multi-index coeflcient model for gene-environment interactions
Liu, Xu2; Gao, Bin1; Cui, Yuehua1
刊名STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY
2017-03
卷号16期号:1页码:59-74
关键词B-spline backfitting generalized likelihood ratio kernel smoothing single index model varying coefficient model
ISSN号2194-6302
DOI10.1515/sagmb-2016-0045
英文摘要Epidemiological studies have suggested the joint effect of simultaneous exposures to multiple environments on disease risk. However, how environmental mixtures as a whole jointly modify genetic effect on disease risk is still largely unknown. Given the importance of gene-environment (GxE) interactions on many complex diseases, rigorously assessing the interaction effect between genes and environmental mixtures as a whole could shed novel insights into the etiology of complex diseases. For this purpose, we propose a generalized partial linear varying multi-index coefficient model (GPLVMICM) to capture the genetic effect on disease risk modulated by multiple environments as a whole. GPLVMICM is semiparametric in nature which allows different index loading parameters in different index functions. We estimate the parametric parameters by a profile procedure, and the nonparametric index functions by a B-spline backfitted kernel method. Under some regularity conditions, the proposed parametric and nonparametric estimators are shown to be consistent and asymptotically normal. We propose a generalized likelihood ratio (GLR) test to rigorously assess the linearity of the interaction effect between multiple environments and a gene, while apply a parametric likelihood test to detect linear GxE interaction effect. The finite sample performance of the proposed method is examined through simulation studies and is further illustrated through a real data analysis.
WOS研究方向Biochemistry & Molecular Biology ; Mathematical & Computational Biology ; Mathematics
语种英语
出版者WALTER DE GRUYTER GMBH
WOS记录号WOS:000396007900005
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/1025]  
专题上海财经大学
通讯作者Cui, Yuehua
作者单位1.Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA;
2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
推荐引用方式
GB/T 7714
Liu, Xu,Gao, Bin,Cui, Yuehua. Generalized partial linear varying multi-index coeflcient model for gene-environment interactions[J]. STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY,2017,16(1):59-74.
APA Liu, Xu,Gao, Bin,&Cui, Yuehua.(2017).Generalized partial linear varying multi-index coeflcient model for gene-environment interactions.STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY,16(1),59-74.
MLA Liu, Xu,et al."Generalized partial linear varying multi-index coeflcient model for gene-environment interactions".STATISTICAL APPLICATIONS IN GENETICS AND MOLECULAR BIOLOGY 16.1(2017):59-74.
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