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Activity Number: 35 - Epidemiological Models for Genetic Data, Biomarkers, and Rare Outcomes
Type: Contributed
Date/Time: Sunday, August 7, 2022 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract #322236
Title: A Maximum-Type Multivariate Microbial Differential Abundance Test with Application to Microbiome Studies
Author(s): Jiyuan Hu* and TingFang Lee and Zhengbang Li
Companies: NYU Grossman School of Medici and NYU Grossman School of Medicine and Central China Normal University
Keywords: High dimensional; microbiome data; compositional; differential abundance test
Abstract:

Compositional data is commonly encountered in many statistical application fields. How to efficiently test the difference between two high-dimensional compositional data remains theoretically and computationally challenging. In this study, we propose a novel test for identifying the mean difference of two high-dimensional compositional mean vector based on the centered log-ratio transformation of the compositions. Our proposed test is free of the equal covariance matrix assumption, therefore provides more flexibility. The asymptotic null distribution is obtained and the asymptotical power against sparse alternatives is also investigated. Simulation results show that the proposed test can control empirical sizes well no matter two covariance matrices are equal or not. The usefulness of the proposed tests is further illustrated by two real data analyses.


Authors who are presenting talks have a * after their name.

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