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Differential abundance tests in compositional data are essential and fundamental tasks in various biomedical applications, such as single-cell, bulk RNA-seq, and microbiome data analysis. However, because of the compositional constraint and…

Methodology · Statistics 2022-04-14 Shulei Wang

Differential abundance analysis is at the core of statistical analysis of microbiome data. The compositional nature of microbiome sequencing data makes false positive control challenging. Here, we show that the compositional effects can be…

Methodology · Statistics 2022-03-15 Huijuan Zhou , Kejun He , Jun Chen , Xianyang Zhang

The advances of next-generation sequencing technology have accelerated study of the microbiome and stimulated the high throughput profiling of metagenomes. The large volume of sequenced data has encouraged the rise of various studies for…

Methodology · Statistics 2019-04-30 Qiwei Li , Shuang Jiang , Andrew Y. Koh , Guanghua Xiao , Xiaowei Zhan

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…

Methodology · Statistics 2021-03-11 Pixu Shi , Yuchen Zhou , Anru R. Zhang

Differential abundance analysis is a key component of microbiome studies. Although dozens of methods exist there is currently no consensus on the preferred methods. While the correctness of results in differential abundance analysis is an…

Applications · Statistics 2025-04-01 Juho Pelto , Kari Auranen , Janne Kujala , Leo Lahti

Many scientific datasets are compositional in nature. Important biological examples include species abundances in ecology, cell-type compositions derived from single-cell sequencing data, and amplicon abundance data in microbiome research.…

Machine Learning · Computer Science 2024-05-29 Elisabeth Ailer , Christian L. Müller , Niki Kilbertus

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…

Applications · Statistics 2017-02-17 Pixu Shi , Hongzhe Li

Microbiome `omics approaches can reveal intriguing relationships between the human microbiome and certain disease states. Along with the identification of specific bacteria taxa associated with diseases, recent scientific advancements…

Applications · Statistics 2019-10-07 Shuang Jiang , Guanghua Xiao , Andrew Y. Koh , Qiwei Li , Xiaowei Zhan

The growing use of high-throughput sequencing (HTS) has enabled the large-scale production of compositional count data, driving progress in microbiome research. However, such count data are often high-dimensional, over-dispersed, and…

Other Statistics · Statistics 2026-05-22 Wenqi Tang , Kamila Fačevicová , Klaus Nordhausen , Sara Taskinen

Metagenomics sequencing is routinely applied to quantify bacterial abundances in microbiome studies, where the bacterial composition is estimated based on the sequencing read counts. Due to limited sequencing depth and DNA dropouts, many…

Methodology · Statistics 2019-04-26 Yuanpei Cao , Anru Zhang , Hongzhe Li

Using a sample from a population to estimate the proportion of the population with a certain category label is a broadly important problem. In the context of microbiome studies, this problem arises when researchers wish to use a sample from…

Methodology · Statistics 2019-02-08 Bryan D. Martin , Daniela Witten , Amy D. Willis

Scientific studies in the last two decades have established the central role of the microbiome in disease and health. Differential abundance analysis seeks to identify microbial taxa associated with sample groups defined by a factor such as…

Methodology · Statistics 2023-12-29 Archie Sachdeva , Somnath Datta , Subharup Guha

Biological sequencing data consist of read counts, e.g. of specified taxa and often exhibit sparsity (zero-count inflation) and overdispersion (extra-Poisson variability). As most sequencing techniques provide an arbitrary total count,…

Applications · Statistics 2024-07-01 Noora Kartiosuo , Jaakko Nevalainen , Olli Raitakari , Katja Pahkala , Kari Auranen

High-throughput sequencing has transformed microbiome research, but it also produces inherently compositional data that challenge standard statistical and machine learning methods. In this work, we propose a multinomial classification…

Applications · Statistics 2025-12-23 R. Alberich , N. A. Cruz , R. Fernández , I. García Mosquera , A. Mir , F. Rosselló

Accurate estimates of microbial species abundances are needed to advance our understanding of the role that microbiomes play in human and environmental health. However, artificially constructed microbiomes demonstrate that intuitive…

Methodology · Statistics 2025-03-17 David S Clausen , Amy D Willis

High-throughput sequencing technology allows us to test the compositional difference of bacteria in different populations. One important feature of human microbiome data is that it often includes a large number of zeros. Such data can be…

Methodology · Statistics 2022-08-23 Wanjie Wang , Eric Z. Chen , Hongzhe Li

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

Statistics Theory · Mathematics 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

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…

Methodology · Statistics 2022-06-23 Yuan Fang , Sanjeena Subedi

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…

Applications · Statistics 2016-03-04 Pixu Shi , Anru Zhang , Hongzhe Li

This paper introduces a rectified and renormalized Fisher-Bingham model for compositional data with zeros, motivated in part by the presence of zeros in microbiota studies. The approach represents compositions through a square-root…

Methodology · Statistics 2026-04-29 Eugene Han , Marahi Perez-Tamayo , Hannah D. Holscher , Ruoqing Zhu
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