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The Dirichlet-multinomial (DM) distribution plays a fundamental role in modern statistical methodology development and application. Recently, the DM distribution and its variants have been used extensively to model multivariate count data…

统计方法学 · 统计学 2023-02-27 Matthew D. Koslovsky

Ongoing advances in microbiome profiling have allowed unprecedented insights into the molecular activities of microbial communities. This has fueled a strong scientific interest in understanding the critical role the microbiome plays in…

统计方法学 · 统计学 2024-11-18 Satabdi Saha , Liangliang Zhang , Kim-Anh Do , Christine B. Peterson

One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as the composition of the bacterial taxa at different taxonomic levels. This paper…

应用统计 · 统计学 2016-03-04 Pixu Shi , Anru Zhang , Hongzhe Li

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

统计方法学 · 统计学 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

With the growing prevalence of diabetes and the associated public health burden, it is crucial to identify modifiable factors that could improve patients' glycemic control. In this work, we seek to examine associations between medication…

应用统计 · 统计学 2025-12-22 Alexander Coulter , Rashmi N. Aurora , Naresh M. Punjabi , Irina Gaynanova

Current advances in next generation sequencing techniques have allowed researchers to conduct comprehensive research on microbiome and human diseases, with recent studies identifying associations between human microbiome and health outcomes…

统计方法学 · 统计学 2021-06-09 Konstantin Shestopaloff , Mei Dong , Fan Gao , Wei Xu

Differential abundance (DA) analysis in microbiome studies has recently been used to uncover a plethora of associations between microbial composition and various health conditions. While current approaches to DA typically apply only to…

统计方法学 · 统计学 2026-01-19 Simon Fontaine , Nisha J. D'Silva , Marcell Costa de Medeiros , Grace Y. Chen , Ji Zhu , Gen Li

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

应用统计 · 统计学 2017-11-17 Kris Sankaran , Susan P. Holmes

In this paper we introduce the phylogenetic scan test (PhyloScan) for investigating cross-group differences in microbiome compositions using the Dirichlet-tree multinomial (DTM) model. DTM models the microbiome data through a cascade of…

应用统计 · 统计学 2017-03-20 Yunfan Tang , Li Ma , Dan L. Niclolae

Quantifying the relation between gut microbiome and body weight can provide insights into personalized strategies for improving digestive health. In this paper, we present an algorithm that predicts weight fluctuations using gut microbiome…

应用统计 · 统计学 2017-06-21 Yunfan Tang , Dan L. Nicolae

The infant microbiome undergoes rapid changes in composition over time and is associated with long-term risks of conditions such as immune strength, allergy, asthma, and other health outcomes. Modeling the associations between exposures or…

统计方法学 · 统计学 2026-03-31 Brody Erlandson , Ander Wilson , Matthew D. Koslovsky

Numerous studies have shown that microbial metabolites, which represent the products of bacteria in the human gut, play a key role in shaping cancer risk and response to treatment. However, metabolite data typically contain a large…

应用统计 · 统计学 2026-05-19 Kai Jiang , Satabdi Saha , Christine B. Peterson

In human microbiome studies, sequencing reads data are often summarized as counts of bacterial taxa at various taxonomic levels specified by a taxonomic tree. This paper considers the problem of analyzing two repeated measurements of…

应用统计 · 统计学 2017-02-17 Pixu Shi , Hongzhe Li

There is a keen interest in characterizing variation in the microbiome across cancer patients, given increasing evidence of its important role in determining treatment outcomes. Here our goal is to discover subgroups of patients with…

应用统计 · 统计学 2022-12-06 Yushu Shi , Liangliang Zhang , Kim-Anh Do , Robert Jenq , Christine Peterson

Studying the human microbiome has gained substantial interest in recent years, and a common task in the analysis of these data is to cluster microbiome compositions into subtypes. This subdivision of samples into subgroups serves as an…

统计方法学 · 统计学 2020-10-22 Jialiang Mao , Li Ma

Discrete data such as counts of microbiome taxa resulting from next-generation sequencing are routinely encountered in bioinformatics. Taxa count data in microbiome studies are typically high-dimensional, over-dispersed, and can only reveal…

统计方法学 · 统计学 2022-06-23 Yuan Fang , Sanjeena Subedi

In microbiome and genomic studies, the regression of compositional data has been a crucial tool for identifying microbial taxa or genes that are associated with clinical phenotypes. To account for the variation in sequencing depth, the…

统计方法学 · 统计学 2021-03-11 Pixu Shi , Yuchen Zhou , Anru R. Zhang

Mixed-membership (MM) models such as Latent Dirichlet Allocation (LDA) have been applied to microbiome compositional data to identify latent subcommunities of microbial species. These subcommunities are informative for understanding the…

应用统计 · 统计学 2022-05-18 Patrick LeBlanc , Li Ma

Motivated by regression analysis for microbiome compositional data, this paper considers generalized linear regression analysis with compositional covariates, where a group of linear constraints on regression coefficients are imposed to…

统计方法学 · 统计学 2018-01-11 Jiarui Lu , Pixu Shi , Hongzhe Li

Within Bayesian nonparametrics, dependent Dirichlet process mixture models provide a highly flexible approach for conducting inference about the conditional density function. However, several formulations of this class make either rather…

统计方法学 · 统计学 2024-05-14 María Xosé Rodríguez-Álvarez , Vanda Inácio , Nadja Klein
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