Greenacre M. Compositional Data Analysis in Practice

CRC Press, Taylor & Francis Group, 2019. — 136 p. — (Chapman & HALL/CRC, Interdisciplinary Statistics Series). — ISBN: 1138316431.Compositional Data Analysis in Practice is a user-oriented practical guide to the analysis of data with the property of a constant sum, for example percentages adding up to 100%. Compositional data can give misleading results if regular statistical methods are applied, and are best analysed by first transforming them to logarithms of ratios. This book explains how this transformation affects the analysis, results and interpretation of this very special type of data. All aspects of compositional data analysis are considered: visualization, modeling, dimension-reduction, clustering and variable selection, with many examples in the fields of food science, archaeology, sociology and biochemistry, and a final chapter containing a complete case study using fatty acid compositions in ecology. The applicability of these methods extends to other fields such as linguistics, geochemistry, marketing, economics and finance.What are compositional data, and why are they special?
Geometry and visualization of compositional data
Logratio transformations
Properties and distributions of logratios
Regression models involving compositional data
Dimension reduction using logratio analysis
Clustering of compositional data
Problem of zeros, with some solutions
Simplifying the task: variable selection
Case study: Fatty acids of marine amphipodsTheory of compositional data analysis
Bibliography of compositional data analysis
Computation of compositional data analysis