Analyzing compositional data with R K. Gerald van den Boogaart, Raimon Tolosana-Delgado

Format:

Book

Author/Creator:

Boogaart, K. Gerald van den

Contributor:

Tolosana-Delgado, Raimon

Series:

Use R!

Language:

English

Subjects (All):

Mathematical statistics--Data processing.

Mathematical statistics.

R (Computer program language).

Physical Description:

1 online resource

Place of Publication:

Berlin New York Springer ©2013

System Details:

text file

PDF

Summary:

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

Contents:

Introduction

What are compositional data?

Getting started with R

References

Fundamental concepts of compositional data analysis

A practical view to compositional concepts

Principles of compositional analysis

Elementary compositional graphics

Multivariate scales

The Aitchison simplex

Distributions for random compositions

Continuous distribution models

Models for count compositions

Relations between distributions

Descriptive analysis of compositional data

Descriptive statistics

Exploring marginals

Exploring projections

Linear models for compositions

Introduction

Compositions as independent variables

Compositions as dependent variables

Compositions as both dependent and independent variables

Advanced considerations

Multivariate statistics

Principal component analysis: exploring codependence

Cluster analysis: detecting natural groups

Discriminant analysis

Other multivariate techniques

Zeros, missings, and outliers

Descriptive analysis with and of missings

Working with missing values

Outliers

Descriptive analysis of outliers

Working with outliers

References

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed July 17, 2013)

Other Format:

Print version Boogaart, K. Gerald van den. Analyzing compositional data with R

ISBN:

9783642368097

3642368093

OCLC:

852961394

Access Restriction:

Restricted for use by site license