Modern Multidimensional Scaling

Part I. Fundamentals of MDS

1. The Four Purposes of Multidimensional Scaling

2. Constructing MDS Representations

3. MDS Models and Measures of Fit

4. Three Applications of MDS

5. MDS and Facet Theory

6. How to Obtain Proximities

Part II. MDS Models and Solving MDS Problems

7. Matrix Algebra for MDS

8. A Majorization Algorithm for Solving MDS

9. Metric and Nonmetric MDS

10. Confirmatory MDS

11. MDS Fit Measures, Their Relations, and Some Algorithms

12. Classical Scaling

13. Special Solutions, Degeneracies, and Local Minima

Part III. Unfolding

14. Unfolding

15. Avoiding Trivial Solutions in Unfolding

16. Special Unfolding Models

Part IV. MDS Geometry as a Substantive Model

17. MDS as a Psychological Model

18. Scalar Products and Euclidean Distances

19. Euclidean Embeddings

Part V. MDS and Related Methods

20. Procrustes Procedures

21. Three-Way Procrustean Models

22. Three-Way MDS Models

23. Modeling Asymmetric Data

24. Methods Related to MDS

DRM-restrictions

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Keywords: MATHEMATICS / Probability & Statistics / General MAT029000