Bayesian Sparse Multivariate Regression with Asymmetric Nonlocal Priors for Microbiome Data Analysis

Bayesian Sparse Multivariate Regression with Asymmetric Nonlocal Priors for Microbiome Data Analysis
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DOI:
10.1214/19-ba1164
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发表时间:
2020-06
期刊:
影响因子:
4.4
通讯作者:
K. Shuler;M. Sison-Mangus;Juhee Lee
K. Shuler;M. Sison-Mangus;Juhee Lee
中科院分区:
数学2区
文献类型:
--
作者:
K. Shuler;M. Sison-Mangus;Juhee Lee

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. We propose a Bayesian sparse multivariate regression method to model the relationship between microbe abundance and environmental factors for micro-biome data. We model abundance counts of operational taxonomic units (OTUs) with a negative binomial distribution and relate covariates to the counts through regression. Extending conventional nonlocal priors, we construct asymmetric non-local priors for regression coefficients to efficiently identify relevant covariates and their effect directions. We build a hierarchical model to facilitate pooling of information across OTUs that produces parsimonious results with improved accuracy. We present simulation studies that compare variable selection performance under the proposed model to those under Bayesian sparse regression models with asymmetric and symmetric local priors and two frequentist models. The simulations show the proposed model identifies important covariates and yields coefficient estimates with favorable accuracy compared with the alternatives. The proposed model is applied to analyze an ocean microbiome dataset collected over time to study the association of harmful algal bloom conditions with microbial communities.