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  • © 2005

Geometric Data Analysis

From Correspondence Analysis to Structured Data Analysis

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  • ISBN: 978-1-4020-2236-4
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Softcover Book USD 139.99
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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
  2. Euclidean Cloud

    Pages 75-128
  3. Structured Data Analysis

    Pages 251-265
  4. Inductive Data Analysis

    Pages 297-332
  5. Research Case Studies

    Pages 333-418
  6. Mathematical Bases

    Pages 419-449
  7. Back Matter

    Pages 451-475

About this book

Geometric Data Analysis (GDA) is the name suggested by P. Suppes (Stanford University) to designate the approach to Multivariate Statistics initiated by Benzécri 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 approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three extensive applications, one for medicine, one from political science, and one from education (data borrowed from the Stanford computer-based Educational Program for Gifted Youth ). Thus the readership of the book concerns both mathematicians interested in the applications of mathematics, and researchers willing to master an exceptionally powerful approach of statistical data analysis.

Keywords

  • Analysis
  • Analysis of variance
  • Measure
  • Multivariate statistics
  • classification
  • data analysis
  • linear algebra
  • principal component analysis

Reviews

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 a very high scientific level, the book represents an outstanding monograph in the field of multivariate statistics. The book provides a comprehensive presentation of the essentials in approaching multivariational data analysis in geometric terms. The illustrative examples and the exercises … are welcome and facilitate substantially the understanding of the contents. … the book proves extremely helpful and informative to a large class of readers, academics, postgraduate students and practitioners from a variety of disciplines." (Luminita State, Zentralblatt MATH, Vol. 1095 (22), 2006)

"The book under review meets the following two requirements: first, it presents in full the formalization of GDA in terms of the structures of linear algebra … and second, it shows how conventional statistical methods are applicable to structured data analysis … . The book is accessible to a wide audience of practising scientists. The mathematical framework is carefully explained. It is an important and much needed contribution to the statistical use of geometric ideas in the description and analysis of scientific data." (Wojciech Zielinski, Mathematical Reviews, Issue 2006 e)

"The uniqueness of this work lies in the detailed conceptual framework, and in showing how, where and why statistical inference methods come into play. … In conclusion, this book constitutes essential background material on Geometric Data Analysis, and, for the seasoned professional, a most valuable source of reference." (Fionn Murtagh, Journal of Classification, Vol. 25, 2008)

Authors and Affiliations

  • MAPS 5 (CNRS) Department of Mathematics and Computer Science, Université René Descartes, Paris, France

    Brigitte Roux

  • CRIP 5 Department of Mathematics and Computer Science, Université René Descartes, Paris, France

    Henry Rouanet

Bibliographic Information

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-4020-2236-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)
Hardcover Book USD 139.99
Price excludes VAT (USA)