img Leseprobe Leseprobe

Applied Compositional Data Analysis

With Worked Examples in R

Matthias Templ, Peter Filzmoser, Karel Hron, et al.

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ca. 117,69
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik

Beschreibung

This book presents the statistical analysis of compositional data using the log-ratio approach. It includes a wide range of classical and robust statistical methods adapted for compositional data analysis, such as supervised and unsupervised methods like PCA, correlation analysis, classification and regression. In addition, it considers special data structures like high-dimensional compositions and compositional tables. The methodology introduced is also frequently compared to methods which ignore the specific nature of compositional data. It focuses on practical aspects of compositional data analysis rather than on detailed theoretical derivations, thus issues like graphical visualization and preprocessing (treatment of missing values, zeros, outliers and similar artifacts) form an important part of the book. Since it is primarily intended for researchers and students from applied fields like geochemistry, chemometrics, biology and natural sciences, economics, and social sciences, all the proposed methods are accompanied by worked-out examples in R using the package robCompositions.

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Schlagwörter

Multivariate statistical methods, Compositional data, Statistical methodology for compositional data, Applications of compositional data analysis, CoDa, Methods for high-dimensional compositional data, Analyzing compositional data using R, R package robCompositions, Robust statistics, Compositional tables, Statistical environment R