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Hypothesis Testing for Multiple Groups of Compositional Data

Conference: Symposium on Data Science and Statistics (SDSS) 2023
05/25/2023: 4:15 PM - 4:40 PM CDT
Refereed 
Presentation

Description

Compositional data consist of multiple components that are parts of a whole. The proportions of observations within each component must sum to 1. We show how such data can be modeled with a nested Dirichlet distribution and present a test to examine differences in the means of compositional data among G > 2 populations.

Keywords

compositional data

nested Dirichlet distribution

likelihood ratio test 

Presenting Author

Monnie McGee, Southern Methodist University

First Author

Bianca Luedeker

CoAuthor(s)

Monnie McGee, Southern Methodist University
Jacob Turner, Southern Methodist University

Target Audience

Mid-Level

Tracks

Practice and Applications
Symposium on Data Science and Statistics (SDSS) 2023