Multidimensional scaling

International Encyclopedia of Education

Volumn , Issue , 2010, Pages 304-311

  Zhang, Z ^a   Takane, Y ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Dissimilarity; Euclidean distance; Ideal points; Individual differences; Multidimensional scaling; Preference; Similarity; Unfolding analysis; Weighted euclidean distance

Indexed keywords

EID: 84884457460     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-08-044894-7.01348-8     Document Type: Chapter

References (21)

1. Borg I., Groenen P.J.F. Modern Multidimensional Scaling: Theory and Applications 2005, Springer, New York.
2. Busing F.M.T.A., Commandeur J.J.F., Heiser W.J. PROXSCAL: A multidimensional scaling program for individual differences scaling with constraints. Softstat '97: Advances in Statistical Software 1997, 237-258. Lucius, Stuttgart. W. Bandilla, F. Faulbaum (Eds.).
3. Busing F.M.T.A., Groenen P.J.K., Heiser W.J. Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation. Psychometrika 2005, 70(1):71-98.
4. Carroll J.D., Chang J.J. Individual differences and multidimensional scaling via an N-way generalization of Eckart-Young decomposition. Psychometrika 1970, 35(3):282-319.
5. Coombs C.H. A Theory of Data 1964, Wiley, New York.
6. Kruskal J.B. Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika 1964, 29(1):1-27.
7. Kruskal J.B. Nonmetric multidimensional scaling: A numerical method. Psychometrika 1964, 29(2):115-129.
8. Ramsay J.O. Maximum likelihood estimation in multidimensional scaling. Psychometrika 1977, 42(2):241-266.
9. Ramsay J.O. Some statistical approaches to multidimensional scaling data. Journal of the Royal Statistical Society, Series A (General) 1982, 145(3):285-312.
10. Shepard R.N. Analysis of proximities: Multidimensional scaling with an unknown distance function, I and II. Psychometrika 1962, 27(2,3):125-140. and 219-246.
11. Takane Y. Applications of multidimensional scaling in psychometrics. Handbook of Statistics 2007, vol. 26:359-400. Elsevier B. V, Amsterdam, Psychometrics. C.R. Rao, S. Sinhara (Eds.).
12. Takane Y., Young F.W., de Leeuw J. Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features. Psychometrika 1977, 42(2):7-67.
13. Takane Y., Jung S., Oshima-Takane Y. Multidimensional scaling. Handbook of Quantitative Methods in Psychology 2009, 219-242. Sage, London. R.E. Millsap, A. Maydeu-Olivares (Eds.).
14. Carroll J.D., Arabie P. Multidimensional scaling. Handbook of Perception and Cognition, vol 3: Measurement, Judgment and Decision Making 1998, 179-250. Academic Press, San Diego, CA. M.H. Birnbaum (Ed.).
15. Cox T.F., Cox M.A.A. Multidimensional Scaling 2001, Chapman and Hall, Boca Raton, FL.
16. Everitt B.S., Rabe-Hesketh S. The Analysis of Proximity Data 1997, Wiley, New York.
17. Kruskal J.B., Wish M. Multidimensional Scaling 1978, Sage, Beverly Hills, CA.
18. Nosofsky R.M. Similarity scaling and cognitive process models. Annual Review of Psychology 1992, 43:25-53.
19. Schiffman S.S., Reynolds M.L., Young F.W. Introduction to Multidimensional Scaling 1981, Academic Press, New York.
20. Young F.W., Hamer R.M. Theory and Applications of Multidimensional Scaling 1994, Erlbaum, Hillsdale, NJ.
21. - MULTISCALE: The MS-DOS program. ftp://ego.psych.megill.ca/.