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Sinopsis
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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Acerca del autor
VERA PAWLOWSKY-GLAHN Department of Computer Science, Applied Mathematics, and Statistics, University of Girona, Spain
JUAN JOSÉ EGOZCUE Department of Applied Mathematics III, Technical University of Catalonia, Barcelona, Spain
RAIMON TOLOSANA-DELGADO Helmholtz Institute Freiberg for Resource Technology, Germany
De la contraportada
Statistical analysis of compositional data has been a topic of research for more than a century; within the last decade, theoretical results have shown that the simplex—the sample space of compositional data—can be structured as a Euclidean space. This allows the representation of compositions in coordinates; in particular, in coordinates with respect to an orthonormal (Cartesian) basis. In turn, it offers a way to apply all known methods in multivariate statistics, which were developed under the assumption that data are realizations of real random variables.
Modeling and Analysis of Compositional Data presents a practical and comprehensive introduction with numerous examples to illustrate both theory and application of each method. The authors provide a complete and current compendium of fundamental to advanced methodologies along with exercises at the end of each chapter to aid the readers’ understanding. Solutions to questions raised throughout the text, along with datasets, are available on the companion website (www.wiley.com/go/glahn/practical).
• Presents a comprehensive and practical introduction to the analysis of compositional data.
• Presents numerous examples of compositional data and exercises from many fields of science.
• Uses a sample space approach to compositional data based on its algebraic/geometric structure.
• Written by leading experts responsible for many advances in the field.
• Accompanied by a website featuring a manual with solutions, instructions to access free software, and datasets.
Statisticians, mathematicians, and researchers in all fields of science that have to deal with compositional data will find this book a useful resource. It can also be used as a textbook for students with basic knowledge of linear algebra, calculus, and statistics.
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Modeling and Analysis of Compositional Data (Statistics in Practice)
Publicado por
Wiley, 2015
ISBN 10: 1118443063
ISBN 13: 9781118443064
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Librería: killarneybooks, Inagh, CLARE, Irlanda
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Hardcover. Condición: Very Good. 1st Edition. Hardcover, xvii + 247 pages, NOT ex-library. A clean and bright copy with unmarked text and firm binding, free of inscriptions and stamps. Boards show gentle external wear. Published without a dust jacket. -- 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, the book fills a gap in the literature for a much-needed manual for teaching, self learning or consulting. -- Contents: 1 Introduction 2 Compositional Data and Their Sample Space [Basic concepts; Principles of compositional analysis; Zeros, missing values, and other irregular components; Exercises] 3 The Aitchison Geometry [General comments; Vector space structure; Inner product, norm and distance; Geometric figures; Exercises] 4 Coordinate Representation [Introduction; Compositional observations in real space; Generating systems; Orthonormal coordinates; Balances; Working on coordinates; Additive logratio coordinates (alr); Orthogonal projections; Matrix operations in the simplex; Coordinates leading to alternative Euclidean structures; Exercises] 5 Exploratory Data Analysis [General remarks; Sample center, total variance, and variation matrix; Centering and scaling; Biplot: a graphical display; Exploratory analysis of coordinates; A geological example; Linear trends along principal components; A nutrition example; A political example; Exercises] 6 Random Compositions [Sample space; Variability and center; Probability distributions on the simplex; Exercises] 7 Statistical Inference [Point estimation of center and variability; Testing hypotheses on compositional normality; Testing hypotheses about two populations; Probability and confidence regions for normal data; Bayesian estimation with count data; Exercises] 8 Linear Models [Linear regression with compositional response; Regression with compositional covariates; Analysis of variance with compositional response; Linear discrimination with compositional predictor; Exercises] 9 Compositional Processes [Linear processes; Mixture processes; Settling processes; Simplicial derivative; Elementary differential equations; Exercises] 10 Epilogue; References; Appendix A Practical Recipes [Plotting a ternary diagram; Parameterization of an elliptic region; Matrix expressions of change of representation]; App B Random Variables [Probability spaces and random variables; Description of probability]; Author & General Index. Nº de ref. del artículo: 005238
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Modeling and Analysis of Compositional Data (Statistics in Practice)
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Paperback. Condición: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Nº de ref. del artículo: GOR014315337
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Modeling and analysis of compositional data - Vera Pawlowsky-Glahn
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Modeling and Analysis of Compositional Data
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John Wiley and Sons Inc, 2015
ISBN 10: 1118443063
ISBN 13: 9781118443064
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Modeling and Analysis of Compositional Data
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Modeling and Analysis of Compositional Data
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Modeling and Analysis of Compositional Data (Statistics in Practice)
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Modeling and Analysis of Compositional Data
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Modeling and Analysis of Compositional Data
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Modeling and Analysis of Compositional Data
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