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Modern multidimensional scaling. Theory and applications. 2nd ed. (English) Zbl 1085.62079

Springer Series in Statistics. New York, NY: Springer (ISBN 0-387-25150-2/hbk; 978-1-4419-2046-1/pbk; 0-387-28981-X/ebook). xxi, 614 p. (2005).
[For the review of the first edition from 1997 see Zbl 0862.62052.]
The authors provide a comprehensive treatment of multidimensional scaling (MDS), a family of statistical techniques for analyzing similarity or dissimilarity data on a set of objects. MDS is based on modeling such data as distances among points in geometric spaces. The book is subdivided into five parts. In Part I, the basic notions of ordinary MDS are explained, with emphasis on how MDS can be helpful in answering substantive questions. Later parts deal with various special models in a more mathematical way and with particular issues that are important in individual applications of MDS. Finally, the appendix on major MDS computer programs helps the reader to choose a program for solving his problems.
This book may be used as an introduction to MDS for students in psychology, sociology and marketing, the prerequisite being an elementary background in statistics. It is also well suited for a variety of advanced courses on MDS topics.

MSC:

62H25 Factor analysis and principal components; correspondence analysis
62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
91C15 One- and multidimensional scaling in the social and behavioral sciences
62-04 Software, source code, etc. for problems pertaining to statistics
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62H99 Multivariate analysis

Citations:

Zbl 0862.62052
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