@article{e774c37e61ad4fab9e0a6c5425c97720,
title = "Bayesian Generalized Low Rank Regression Models for Neuroimaging Phenotypes and Genetic Markers",
abstract = "We propose a Bayesian generalized low-rank regression model (GLRR) for the analysis of both high-dimensional responses and covariates. This development is motivated by performing searches for associations between genetic variants and brain imaging phenotypes. GLRR integrates a low rank matrix to approximate the high-dimensional regression coefficient matrix of GLRR and a dynamic factor model to model the high-dimensional covariance matrix of brain imaging phenotypes. Local hypothesis testing is developed to identify significant covariates on high-dimensional responses. Posterior computation proceeds via an efficient Markov chain Monte Carlo algorithm. A simulation study is performed to evaluate the finite sample performance of GLRR and its comparison with several competing approaches. We apply GLRR to investigate the impact of 1071 SNPs on top 40 genes reported by AlzGene database on the volumes of 93 regions of interest (ROI) obtained from Alzheimer{\textquoteright}s Disease Neuroimaging Initiative (ADNI). Supplementary materials for this article are available online.",
keywords = "Genetic variant, High dimension, Imaging phenotype, Markov chain Monte Carlo, Penalized method low-rank regression",
author = "Hongtu Zhu and Zakaria Khondker and Zhaohua Lu and Ibrahim, {Joseph G.}",
note = "Funding Information: H. Zhu is Professor of Biostatistics (E-mail: hzhu@bios.unc.edu), Z. Khondker was a Ph.D. student under the supervision of Drs. Ibrahim and Zhu (E-mail: zakaria.khondker@medivation.com), Z. Lu was a postdoctoral fellow under the supervision of Dr. Zhu (E-mail: zhaohua.lu@gmail.com), and J. G. Ibrahim is Alumni Distinguished Professor of Biostatistics (E-mail: ibrahim@bios.unc.edu), Department of Biostatistics, University of North Carolina at Chapel Hill, NC 27599-7420. Data used in preparation of this article were obtained from the Alzheimer{\textquoteright}s Disease Neuroimaging Initiative (ADNI) database (adni.loni.usc.edu). As such, the investigators within the ADNI contributed to the design and implementation of ADNI and/or provided data but did not participate in analysis or writing of this report. A complete listing of ADNI investigators can be found at: http://adni.loni.usc. edu/wp-content/uploads/how_to_apply/ADNI_Acknowledgement_List.pdf. We thank the Editor, the Associate Editor, and two anonymous referees for valuable suggestions, which greatly helped to improve our presentation. The research of Drs. Zhu and Ibrahim was supported by NSF grants SES-1357666 and DMS-1407655 and NIH grants RR025747-01, GM70335, CA74015, P01CA142538-01, MH086633, and EB005149-01. Data collection and sharing for this project was funded by the Alzheimer{\textquoteright}s Disease Neuroimaging Initiative (ADNI) (National Institutes of Health Grant U01 AG024904) and DOD ADNI (Department of Defense award number W81XWH-12-2-0012). ADNI is funded by the National Institute on Aging, the National Institute of Biomedical Imaging and Bioengineering, and through generous contributions from the following: Alzheimer{\textquoteright}s Association; Alzheimer{\textquoteright}s Drug Discovery Foundation; BioClin-ica, Inc.; Biogen Idec Inc.; Bristol-Myers Squibb Company; Eisai Inc.; Elan Pharmaceuticals, Inc.; Eli Lilly and Company; F. Hoffmann-La Roche Ltd and its affiliated company Genentech, Inc.; GE Healthcare; Innogenetics, N.V.; IX-ICO Ltd.; Janssen Alzheimer Immunotherapy Research & Development, LLC.; Johnson & Johnson Pharmaceutical Research & Development LLC.; Medpace, Inc.; Merck & Co., Inc.; Meso Scale Diagnostics, LLC.; NeuroRx Research; Novartis Pharmaceuticals Corporation; Pfizer Inc.; Piramal Imaging; Servier; Synarc Inc.; and Takeda Pharmaceutical Company. The Canadian Institutes of Health Research is providing funds to support ADNI clinical sites in Canada. Private sector contributions are facilitated by the Foundation for the National Institutes of Health (www.fnih.org). The grantee organization is the Northern California Institute for Research and Education, and the study is coordinated by the Alzheimer{\textquoteright}s Disease Cooperative Study at the University of California, San Diego. ADNI data are disseminated by the Laboratory for Neuro Imaging at the University of Southern California. Publisher Copyright: {\textcopyright} 2014 American Statistical Association.",
year = "2014",
month = sep,
doi = "10.1080/01621459.2014.923775",
language = "English (US)",
volume = "109",
pages = "977--990",
journal = "Journal of the American Statistical Association",
issn = "0162-1459",
publisher = "Taylor and Francis Ltd.",
number = "507",
}