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A biological pathway represents a set of genes that serves a particular cellular or a physiological function. The genes within the same pathway are expected to function together and hence may interact with each other. It is also known that…

Methodology · Statistics 2012-06-14 Zaili Fang , Inyoung Kim , Jeesun Jung

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

Applications · Statistics 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

For the etiology, progression, and treatment of complex diseases, gene-environment (G-E) interactions have important implications beyond the main G and E effects. G-E interaction analysis can be more challenging with the higher…

Methodology · Statistics 2018-10-19 Mengyun Wu , Qingzhao Zhang , Shuangge Ma

We propose optimal Bayesian two-sample tests for testing equality of high-dimensional mean vectors and covariance matrices between two populations. In many applications including genomics and medical imaging, it is natural to assume that…

Methodology · Statistics 2021-12-07 Kyoungjae Lee , Kisung You , Lizhen Lin

Because of the high cost of commercial genotyping chip technologies, many investigations have used a two-stage design for genome-wide association studies, using part of the sample for an initial discovery of ``promising'' SNPs at a less…

Many diseases and traits involve a complex interplay between genes and environment, generating significant interest in studying gene-environment interaction through observational data. However, for lifestyle and environmental risk factors,…

Methodology · Statistics 2023-09-22 Malka Gorfine , Conghui Qu , Ulrike Peters , Li Hsu

Optimal design facilitates intelligent data collection. In this paper, we introduce a fully Bayesian design approach for spatial processes with complex covariance structures, like those typically exhibited in natural ecosystems. Coordinate…

Bayesian analysis is increasingly popular for use in social science and other application areas where the data are observations from an informative sample. An informative sampling design leads to inclusion probabilities that are correlated…

Statistics Theory · Mathematics 2016-06-07 Terrance D. Savitsky , Daniell Toth

Implementing Bayesian variable selection for linear Gaussian regression models for analysing high dimensional data sets is of current interest in many fields. In order to make such analysis operational, we propose a new sampling algorithm…

Computation · Statistics 2010-02-16 Leonardo Bottolo , Sylvia Richardson

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

Interactions between genes and environmental factors may play a key role in the etiology of many common disorders. Several regularized generalized linear models (GLMs) have been proposed for hierarchical selection of gene by environment…

Methodology · Statistics 2023-12-22 Julien St-Pierre , Karim Oualkacha , Julien St-Pierre

Genome-wide association studies, in which as many as a million single nucleotide polymorphisms (SNP) are measured on several thousand samples, are quickly becoming a common type of study for identifying genetic factors associated with many…

Methodology · Statistics 2010-10-25 Charles Kooperberg , Michael LeBlanc , James Y. Dai , Indika Rajapakse

With the recent advent of high-throughput genotyping techniques, genetic data for genome-wide association studies (GWAS) have become increasingly available, which entails the development of efficient and effective statistical approaches.…

Applications · Statistics 2015-02-04 Jiahan Li , Wei Zhong , Runze Li , Rongling Wu

Over the last decade, a large variety of clustering algorithms have been developed to detect coregulatory relationships among genes from microarray gene expression data. Model based clustering approaches have emerged as statistically well…

Quantitative Methods · Quantitative Biology 2008-01-15 Anagha Joshi , Yves Van de Peer , Tom Michoel

For complex diseases, beyond the main effects of genetic (G) and environmental (E) factors, gene-environment (G-E) interactions also play an important role. Many of the existing G-E interaction methods conduct marginal analysis, which may…

Methodology · Statistics 2020-03-06 Qingzhao Zhang , Hao Chai , Shuangge Ma

We consider the challenges that arise when fitting complex ecological models to 'large' data sets. In particular, we focus on random effect models which are commonly used to describe individual heterogeneity, often present in ecological…

Methodology · Statistics 2022-05-17 Ruth King , Blanca Sarzo , Víctor Elvira

Epidemiological evidence suggests that simultaneous exposures to multiple environmental risk factors (Es) can increase disease risk larger than the additive effect of individual exposure acting alone. The interaction between a gene and…

Methodology · Statistics 2022-09-02 Shunjie Guan , Mingtao Zhao , Yuehua Cui

We consider Bayesian model selection in generalized linear models that are high-dimensional, with the number of covariates p being large relative to the sample size n, but sparse in that the number of active covariates is small compared to…

Statistics Theory · Mathematics 2011-12-26 Rina Foygel , Mathias Drton

Motivated by examples from genetic association studies, this paper considers the model selection problem in a general complex linear model system and in a Bayesian framework. We discuss formulating model selection problems and incorporating…

Methodology · Statistics 2014-03-14 Xiaoquan Wen

This paper demonstrates the advantages of sharing information about unknown features of covariates across multiple model components in various nonparametric regression problems including multivariate, heteroscedastic, and semi-continuous…

Methodology · Statistics 2019-06-11 Antonio R. Linero , Debajyoti Sinha , Stuart R. Lipsitz