This book presents the statistical analysis of compositional data sets, i.e., data in percentages, proportions, concentrations, etc. The subject is covered from its grounding principles to the practical use in descriptive exploratory analysis, robust linear models and advanced multivariate statistical methods, including zeros and missing values, and paying special attention to data visualization and model display issues. Many illustrated examples and code chunks guide the reader into their modeling and interpretation. And, though the book primarily serves as a reference guide for the R package "compositions," it is also a general introductory text on Compositional Data Analysis. Awareness of their special characteristics spread in the Geosciences in the early sixties, but a strategy for properly dealing with them was not available until the works of Aitchison in the eighties. Since then, research has expanded our understanding of their theoretical principles and the potentials and limitations of their interpretation. This is the first comprehensive textbook addressing these issues, as well as their practical implications with regard to software.
The book is intended for scientists interested in statistically analyzing their compositional data. The subject enjoys relatively broad awareness in the geosciences and environmental sciences, but the spectrum of recent applications also covers areas like medicine, official statistics, and economics. Readers should be familiar with basic univariate and multivariate statistics. Knowledge of R is recommended but not required, as the book is self-contained.
Prof. K. Gerald van den Boogaart is the head of the Modeling and Valuation Department of the Helmholtz Institute Freiberg for Resource Technology and holds the chair of Applied Stochastic at TU Bergakademie Freiberg. Previously he was a professor of statistics in Greifswald. Throughout his career he has worked closely with various geoscientists, biologists and engineers. Raimon Tolosana-Delgado is an Engineering Geologist and holds an MSc in Environmental Sciences. He received his PhD from the University of Girona, recognized as one of the world's leading centers for Compositional Data Analysis. He has worked, mainly in the fields of sedimentology and oceanography, at several universities in Spain and Germany. He is currently a fellow researcher at the Helmholtz Institute Freiberg for Resource Technology.
Introduction.- Fundamental Concepts of Compositional Data Analysis.- Distributions for Random Compositions.- Descriptive Analysis of Compositional Data.- Linear Models for Compositions.- Multivariate Statistics.- Zeroes, Missings and Outliers.- References.- Index.
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