Compositional data analysis: theory and applications

It is difficult to imagine that the statistical analysis of compositional data has been a major issue of concern for more than 100 years. It is even more difficult to realize that so many statisticians and users of statistics are unaware of the particular problems affecting compositional data, as well as their solutions. The issue of ``spurious correlation'', as the situation was phrased by Karl Pearson back in 1897, affects all data that measures parts of some whole, such as percentages, proportions, ppm and ppb. Such measurements are present in all fields of science, ranging from geology, bi.

Front Matter -- Introduction. A Short History of Compositional Data Analysis / John Bacon-Shone -- Basic Concepts and Procedures / Juan Jose Egozcue, Vera Pawlowsky-Glahn -- Theory -- Statistical Modelling. The Principle of Working on Coordinates / Gloria Mateu-Figueras, Vera Pawlowsky-Glahn, Juan Jose Egozcue -- Dealing with Zeros / Josep Antoni Mart̕n-Ferǹndez, Javier Palarea-Albaladejo, Ricardo Antonio Olea -- Robust Statistical Analysis / Peter Filzmoser, Karel Hron -- Geostatistics for Compositions / Raimon Tolosana-Delgado, Karl Gerald van den Boogaart, Vera Pawlowsky-Glahn -- Compositional VARIMA Time Series / Carles Barcelo-Vidal, Lucia Aguilar, Josep Antoni Mart̕n-Ferǹndez -- Compositional Data and Correspondence Analysis / Michael Greenacre -- Use of Survey Weights for the Analysis of Compositional Data / Monique Graf -- Notes on the Scaled Dirichlet Distribution / Gianna Serafina Monti, Gloria Mateu-Figueras, Vera Pawlowsky-Glahn -- Theory -- Algebra and Calculus. Elements of Simplicial Linear Algebra and Geometry / Juan Jose Egozcue, Carles Barcelo-Vidal, Josep Antoni Mart̕n-Fernandez, Eusebi Jarauta-Bragulat, Jose Luis Diaz-Barrero, Gloria Mateu-Figueras -- Calculus of S…