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Geometric data analysis : from correspondence analysis to structured data analysis

Author: Brigitte Le Roux; Henry Rouanet
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2004.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
""Geometric Data Analysis" (GDA) is the name suggested by P. Suppes (Stanford University) to designate the approach to Multivariate Statistics initiated by Benzecri as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Le Roux, Brigitte.
Geometric data analysis.
Dordrecht ; Boston : Kluwer Academic Publishers, ©2004
(DLC) 2004050727
(OCoLC)55149321
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Brigitte Le Roux; Henry Rouanet
ISBN: 1402022352 9781402022357 1402022360 9781402022364 6610459304 9786610459308
OCLC Number: 57479650
Description: 1 online resource (xi, 475 pages)
Contents: Cover --
Contents --
Foreword --
Preface --
1 Overview of Geometric Data Analysis --
1.1 CA of a Historical Data Set --
1.2 The Three Key Ideas of GDA --
1.3 Three Paradigms of GDA --
1.4 Historical Sketch --
1.5 Methodological Strong Points --
1.6 From Descriptive to Inductive Analysis --
1.7 Organization of the Book --
2 Correspondence Analysis (CA) --
2.1 Measure vs Variable Duality --
2.2 Measure over a Cartesian Product --
2.3 Correspondence Analysis --
2.4 Extensions and Concluding Comments --
Exercises --
3 Euclidean Cloud --
3.1 Basic Statistics --
3.2 Projected Clouds --
3.3 Principal Directions --
3.4 Principal Hyperellipsoids --
3.5 Between and Within Clouds --
3.6 Euclidean Classification --
3.7 Matrix Formulas --
4 Principal Component Analysis (PCA) --
4.1 Biweighted PCA --
4.2 Simple PCA --
4.3 Standard PCA --
4.4 General PCA --
4.5 PCA of a Table of Measures --
4.6 Methodology of PCA --
5 Multiple Correspondence Analysis (MCA) --
5.1 Standard MCA --
5.2 Specific MCA --
5.3 Methodology of MCA --
5.4 The Culture Example --
Exercises --
6 Structured Data Analysis --
6.1 Structuring Factors --
6.2 Analysis of Comparisons --
6.3 Additive and Interaction Clouds --
6.4 Related Topics --
7 Stability of a Euclidean Cloud --
7.1 Stability and Grouping --
7.2 Influence of a Group of Points --
7.3 Change of Metric --
7.4 Influence of a Variable --
7.5 Basic Theorems --
8 Inductive Data Analysis --
8.1 Inference in Multivariate Statistics --
8.2 Univariate Effects --
8.3 Combinatorial Inference --
8.4 Bayesian Data Analysis --
8.5 Inductive GDA --
8.6 Guidelines for Inductive Analysis --
9 Research Case Studies --
9.1 Parkinson Study --
9.2 French Political Space --
9.3 EPGY Study --
9.4 About Software --
10 Mathematical Bases --
10.1 Matrix Operations --
10.2 Finite ... dimensional Vector Space --
10.3 Euclidean Vector Space --
10.4 Multidimensional Geometry --
10.5 Spectral Theorem --
Bibliography --
Name Index --
Symbol Index.
Responsibility: Brigitte Le Roux and Henry Rouanet.
More information:

Abstract:

This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard  Read more...

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From the reviews:"Simply a masterpiece (...) I find this book to be a treasure chest"- Johs Hjellbrekke in the European Sociological Rev.2005; 21: 529-531 "Written in a mathematically rigorous way at Read more...

 
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