Springer Series in Statistics

Modern Multidimensional Scaling

Theory and Applications

Authors: Borg, Ingwer, Groenen, Patrick

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About this book

Multidimensional scaling (MDS) is a technique for the analysis of similarity or dissimilarity data on a set of objects. Such data may be intercorrelations of test items, ratings of similarity on political candidates, or trade indices for a set of countries. MDS attempts to model such data as distances among points in a geometric space. The main reason for doing this is that one wants a graphical display of the structure of the data, one that is much easier to understand than an array of numbers and, moreover, one that displays the essential information in the data, smoothing out noise. There are numerous varieties of MDS. Some facets for distinguishing among them are the particular type of geometry into which one wants to map the data, the mapping function, the algorithms used to find an optimal data representation, the treatment of statistical error in the models, or the possibility to represent not just one but several similarity matrices at the same time. Other facets relate to the different purposes for which MDS has been used, to various ways of looking at or "interpreting" an MDS representation, or to differences in the data required for the particular models. In this book, we give a fairly comprehensive presentation of MDS. For the reader with applied interests only, the first six chapters of Part I should be sufficient. They explain the basic notions of ordinary MDS, with an emphasis on how MDS can be helpful in answering substantive questions.

Table of contents (22 chapters)

  • The Four Purposes of Multidimensional Scaling

    Borg, Ingwer (et al.)

    Pages 3-14

  • Constructing MDS Representations

    Borg, Ingwer (et al.)

    Pages 15-28

  • MDS Models and Measures of Fit

    Borg, Ingwer (et al.)

    Pages 29-48

  • Three Applications of MDS

    Borg, Ingwer (et al.)

    Pages 49-69

  • MDS and Facet Theory

    Borg, Ingwer (et al.)

    Pages 71-89

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4757-2711-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Modern Multidimensional Scaling
Book Subtitle
Theory and Applications
Authors
Series Title
Springer Series in Statistics
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-2711-1
DOI
10.1007/978-1-4757-2711-1
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XVII, 472
Number of Illustrations and Tables
49 b/w illustrations
Topics