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Book Cover
E-book
Author Borg, Ingwer.

Title Modern multidimensional scaling : theory and applications / Ingwer Borg, Patrick J.F. Groenen
Edition Second edition
Published New York : Springer, 2005
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Description 1 online resource (xxi, 614 pages) : illustrations
Series Springer Series in Statistics
Springer series in statistics.
Contents Fundamentals of MDS -- The Four Purposes of Multidimensional Scaling -- Constructing MDS Representations -- MDS Models and Measures of Fit -- Three Applications of MDS -- MDS and Facet Theory -- How to Obtain Proximities -- MDS Models and Solving MDS Problems -- Matrix Algebra for MDS -- A Majorization Algorithm for Solving MDS -- Metric and Nonmetric MDS -- Confirmatory MDS -- MDS Fit Measures, Their Relations, and Some Algorithms -- Classical Scaling -- Special Solutions, Degeneracies, and Local Minima -- Unfolding -- Unfolding -- Avoiding Trivial Solutions in Unfolding -- Special Unfolding Models -- MDS Geometry as a Substantive Model -- MDS as a Psychological Model -- Scalar Products and Euclidean Distances -- Euclidean Embeddings -- MDS and Related Methods -- Procrustes Procedures -- Three-Way Procrustean Models -- Three-Way MDS Models -- Modeling Asymmetric Data -- Methods Related to MDS
Summary "The book provides a comprehensive treatment of multidimensional scaling (MDS), a family of statistical techniques for analyzing the structure of (dis)similarity data. Such data are widespread, including, for example, intercorrelations of survey items, direct ratings on the similarity on choice objects, or trade indices for a set of countries. MDS represents the data as distances among points in a geometric space of low dimensionality. This map can help to see patterns in the data that are not obvious from the data matrices. MDS is also used as a psychological model for judgments of similarity and preference." "This book may be used as an introduction to MDS for students in psychology, sociology, and marketing. The prerequisite is an elementary background in statistics. The book is also well suited for a variety of advanced courses on MDS topics. All the mathematics required for more advanced topics is developed systematically."--Jacket
Bibliography Includes bibliographical references and indexes
Notes Print version record
Subject Multidimensional scaling.
Multidimensional scaling -- Data processing.
Psychometrics.
Psychometrics -- methods.
Data Interpretation, Statistical -- methods
Models, Statistical.
Algorithms.
Form Electronic book
Author Groenen, Patrick J. F.
LC no. 2005924955
ISBN 0387251502 (hbk.)
038728981X
6610851883
9780387251509 (hbk.)
9780387289816
9786610851881