Modern Multidimensional Scaling Theory and Applications /

• Main Authors: Borg, Ingwer (Author), Groenen, Patrick J. F. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Edition: Second Edition.
• Series: Springer Series in Statistics,
• Subjects: Statistics.; Marketing.; Pattern recognition.; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law.; Pattern Recognition.; Statistics and Computing/Statistics Programs.

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 objec...

Table of 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.