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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 2nd ed
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 English
Print version record
In Springer e-books
Subject Multidimensional scaling.
Multidimensional scaling -- Data processing
Psychometrics.
Computer algorithms.
Algorithms.
Psychometrics -- methods
Psychometrics
Data Interpretation, Statistical -- methods
Models, Statistical
Algorithms
algorithms.
MATHEMATICS -- Probability & Statistics -- Multivariate Analysis.
Mathematical statistics.
Optical pattern recognition.
Statistics.
Marketing.
Pattern recognition.
Statistics and Computing/Statistics Programs.
Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law.
Algoritmos computacionales
Escalas multidimensionales
Computer algorithms
Algorithms
Multidimensional scaling
Multidimensional scaling -- Data processing
Psychometrics
Multidimensionale schaalmethoden.
Multivariat analys.
Form Electronic book
Author Groenen, Patrick J. F.
ISBN 9780387289816
038728981X
0387251502
9780387251509
6610851883
9786610851881
1280851880
9781280851889