Modern Multidimensional Scaling: Theory and Applications

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
The Four Purposes of Multidimensional Scaling....Pages 3-14
Constructing MDS Representations....Pages 15-28
MDS Models and Measures of Fit....Pages 29-48
Three Applications of MDS....Pages 49-69
MDS and Facet Theory....Pages 71-89
How to Obtain Proximities....Pages 91-106
Front Matter....Pages 107-107
Matrix Algebra for MDS....Pages 109-134
A Majorization Algorithm for Solving MDS....Pages 135-157
Metric and Nonmetric MDS....Pages 159-180
Confirmatory MDS....Pages 181-197
MDS Fit Measures, Their Relations, and Some Algorithms....Pages 199-205
Classical Scaling....Pages 207-212
Special Solutions, Degeneracies, and Local Minima....Pages 213-228
Front Matter....Pages 229-229
Unfolding....Pages 231-252
Special Unfolding Models....Pages 253-269
Front Matter....Pages 271-271
MDS as a Psychological Model....Pages 273-299
Scalar Products and Euclidean Distances....Pages 301-319
Euclidean Embeddings....Pages 321-335
Front Matter....Pages 337-337
Procrustes Procedures....Pages 339-355
Three-Way Procrustean Models....Pages 357-379
Front Matter....Pages 337-337
Three-Way MDS Models....Pages 381-397
Methods Related to MDS....Pages 399-416
Back Matter....Pages 417-472