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  ThreeWay Procrustean Models  ThreeWay 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 
