Modern Multidimensional Scaling

✍ Scribed by Ingwer Borg; Patrick J F Groenen

• Publisher: Springer Science+Business Media Inc
• Year: 2005
• Tongue: English
• Leaves: 612
• Series: Springer Series in Statistics
• Category: Library

✦ Table of Contents

ModernMultidimensionalScaling......Page 2
Preface......Page 5
Contents......Page 13
Part I Fundamentals of MDS......Page 20
1 The Four Purposes of Multidimensional Scaling......Page 21
2 Constructing MDS Representations......Page 37
3 MDS Models and Measures of Fit......Page 54
4 Three Applications of MDS......Page 79
5 MDS and Facet Theory......Page 102
6 How to Obtain Proximities......Page 125
Part II MDS Models and Solving MDS Problems......Page 148
7 Matrix Algebra for MDS......Page 149
8 A Majorization Algorithm for Solving MDS......Page 181
9 Metric and Nonmetric MDS......Page 210
10 Confirmatory MDS......Page 237
11 MDS Fit Measures, Their Relations, and Some Algorithms......Page 257
12 Classical Scaling......Page 271
13 Special Solutions, Degeneracies, and Local Minima......Page 278
Part III Unfolding......Page 299
14 Unfolding......Page 300
15 Avoiding Trivial Solutions in Unfolding......Page 324
16 Special Unfolding Models......Page 342
Part IV MDS Geometry as a Substantive Model......Page 363
17 MDS as a Psychological Model......Page 364
18 Scalar Products and Euclidean Distances......Page 394
19 Euclidean Embeddings......Page 415
Part V MDS and RelatedMethods......Page 431
20 Procrustes Procedures......Page 432
21 Three-Way Procrustean Models......Page 451
22 Three-Way MDS Models......Page 475
23 Modeling Asymmetric Data......Page 497
24 Methods Related to MDS......Page 521
Part VI Appendices......Page 543
Appendix A Computer Programs for MDS......Page 544
A.1 Interactive MDS Programs......Page 545
A.2 MDS Programs with High-Resolution Graphics......Page 551
A.3 MDS Programs without High-Resolution Graphics......Page 563
Appendix B Notation......Page 569
References......Page 572
Author Index......Page 597
Subject Index......Page 603