Modern Multidimensional Scaling: Theory and Applications (Springer Series in Statistics) : Theory and Applications

I. Borg

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Language: English

Published by Springer, 2005

0387251502 / 9780387251509

Series: Book 87 of 160 - Springer Series in Statistics

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Neu Neuware, Importqualität, auf Lager - Multidimensionalscaling(MDS)isatechniquefortheanalysisofsimilarity 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 forasetofcountries.MDSattemptstomodelsuchdataasdistancesamong pointsinageometricspace.Themainreasonfordoingthisisthatonewants 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 mapthedata,themappingfunction,thealgorithmsusedto ndanoptimal 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 di erent purposes for which MDS has been used, to various ways of looking at or 'interpreting' an MDS representation, or to di erences in the data required for the particular models. Inthisbook,wegiveafairlycomprehensivepresentationofMDS.Forthe reader with applied interests only, the rst six chapters of Part I should be su cient. They explain the basic notions of ordinary MDS, with an emphasis on how MDS can be helpful in answering substantive questions.

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Title
Modern Multidimensional Scaling: Theory and Applications (Springer Series in Statistics) : Theory and Applications
Author
I. Borg
Publisher
Springer
Publication year
2005
Condition
Neu
Binding
Hardcover
Language
English
ISBN 10
0387251502
ISBN 13
9780387251509
Edition
2nd Edition
Item weight
1,286 grams
Dimensions
265x187x43
Series
Book 87 of 160: Springer Series in Statistics

AHA-BUCH GmbH

Einbeck, Germany

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