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Compositional data analysis in practice

Author: Michael J Greenacre
Publisher: Boca Raton, Florida : CRC Press, [2018]
Series: Chapman & Hall/CRC interdisciplinary statistics
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Greenacre, Michael J.
Compositional data analysis in practice.
Boca Raton, Florida : CRC Press, [2018]
(DLC) 2018017447
(OCoLC)1033546829
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael J Greenacre
ISBN: 9780429849015 042984901X 9780429849022 0429849028
OCLC Number: 1046068064
Description: 1 online resource.
Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1 What are compositional data, and why are they special?; 1.1 Examples of compositional data; 1.2 Why are compositional data different from other types of data?; 1.3 Basic terminology and notation in compositional data analysis; 1.4 Basic principles of compositional data analysis; 1.5 Ratios and logratios; 2 Geometry and visualization of compositional data; 2.1 Simple graphics; 2.2 Geometry in a simplex; 2.3 Moving out of the simplex; 2.4 Distances between points in logratio space. 3 Logratio transformations3.1 Additive logratio transformations; 3.2 Centred logratio transformations; 3.3 Logratios incorporating amalgamations; 3.4 Isometric logratio transformations; 3.5 Comparison of logratios in practice; 3.6 Practical interpretation of logratios; 4 Properties and distributions of logratios; 4.1 Lognormal distribution; 4.2 Logit function; 4.3 Additive logistic normal distribution; 4.4 Logratio variances and covariances; 4.5 Testing for multivariate normality; 4.6 When logratios are not normal; 5 Regression models involving compositional data. 5.1 Visualizing ratios as a graph5.2 Using simple logratios as predictors; 5.3 Compositions as responses --
total logratio variance; 5.4 Redundancy analysis; 6 Dimension reduction using logratio analysis; 6.1 Weighted principal component analysis; 6.2 Logratio analysis; 6.3 Different biplot scaling options; 6.4 Constrained compositional biplots; 7 Clustering of compositional data; 7.1 Logratio distances between rows and between columns; 7.2 Clustering based on logratio distances; 7.3 Weighted Ward clustering; 7.4 Isometric logratio versus amalgamation balances. 8 Problem of zeros, with some solutions8.1 Zero replacement; 8.2 Sensitivity to zero replacement; 8.3 Subcompositional incoherence; 8.4 Correspondence analysis alternative; 9 Simplifying the task: variable selection; 9.1 Explaining total logratio variance; 9.2 Stepwise selection of logratios; 9.3 Parsimonious variable selection; 9.4 Amalgamation logratios as variables for selection; 9.5 Signal and noise in compositional data; 10 Case study: Fatty acids of marine amphipods; 10.1 Introduction; 10.2 Material and methods; 10.3 Results; 10.4 Discussion and conclusion. A Appendix: Theory of compositional data analysisA. 1 Basic notation; A.2 Ratios and logratios; A.3 Logratio distance; A.4 Logratio variance; A.5 Logratio analysis (LRA); A.6 Principal component analysis (PCA); A.7 Procrustes analysis; A.8 Constrained logratio analysis and redundancy analysis; A.9 Permutation tests; A.10 Weighted Ward clustering; B Appendix: Bibliography of compositional data analysis; B.1 Books; B.2 Articles; B.3 Web resources; C Appendix: Computation of compositional data analysis; C.1 Simple graphics for compositional data; C.2 Logratio transformations.
Series Title: Chapman & Hall/CRC interdisciplinary statistics
Responsibility: Michael Greenacre.

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"This book provides a essential reference as a practical way to evaluate and interpret compositional data across a broad spectrum of disciplines in the life and natural sciences for both academia and Read more...

 
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