Modeling and analysis of compositional data
Series: Statistics in PracticePublication details: Wiley 2015 West SussexDescription: xvii, 247 pISBN:- 9781118443064
- 519.535 P2M6
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Ahmedabad | Non-fiction | 519.535 P2M6 (Browse shelf(Opens below)) | Available | 192895 |
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519.535 L3M8 Multivariate data analysis in industrial practice | 519.535 M2I6 Introduction to general and generalized linear models | 519.535 N3 New developments and techniques in structural equation modeling | 519.535 P2M6 Modeling and analysis of compositional data | 519.535 P7A7 Applied multivariate analysis: using Bayesian and frequentist methods of inference | 519.535 R2F8-2005 Functional data analysis | 519.535 S7E8 Essentials of multivariate data analysis |
Preface xi
About the Authors xv
Acknowledgments xix
1 Introduction 1
2 Compositional Data and Their Sample Space 8
3 The Aitchison Geometry 23
4 Coordinate Representation 32
5 Exploratory Data Analysis 65
6 Random Compositions 103
7 Statistical Inference 130
8 Linear Models 149
9 Compositional Processes 172
10 Epilogue 206
Appendix A Practical Recipes 222
A.1 Plotting a ternary diagram 222
A.2 Parameterization of an elliptic region 224
A.3 Matrix expressions of change of representation 226
Appendix B Random Variables 228
B.1 Probability spaces and random variables 228
B.2 Description of probability 232
List of Abbreviations and Symbols 234
Author Index 237
General Index 241
Modeling and Analysis of Compositional Data presents a practical and comprehensive introduction to the analysis of compositional data along with numerous examples to illustrate both theory and application of each method. Based upon short courses delivered by the authors, it provides a complete and current compendium of fundamental to advanced methodologies along with exercises at the end of each chapter to improve understanding, as well as data and a solutions manual which is available on an accompanying website.
Complementing Pawlowsky-Glahn’s earlier collective text that provides an overview of the state-of-the-art in this field, Modeling and Analysis of Compositional Data fills a gap in the literature for a much-needed manual for teaching, self-learning or consulting.
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