Bayesian Generalized Low Rank Regression Models for Neuroimaging Phenotypes and Genetic Markers

Hongtu Zhu, Zakaria Khondker, Zhaohua Lu and Joseph G. Ibrahim

Journal of the American Statistical Association, 2014, vol. 109, issue 507, 977-990

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's Disease Neuroimaging Initiative (ADNI). Supplementary materials for this article are available online.

Date: 2014
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DOI: 10.1080/01621459.2014.923775

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