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Points of view analysis revisited: Fitting multidimensional structures to optimal distance components with cluster restrictions on the variables

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  • Jacqueline Meulman
  • Peter Verboon

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  • Jacqueline Meulman & Peter Verboon, 1993. "Points of view analysis revisited: Fitting multidimensional structures to optimal distance components with cluster restrictions on the variables," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 7-35, March.
  • Handle: RePEc:spr:psycho:v:58:y:1993:i:1:p:7-35
    DOI: 10.1007/BF02294468
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    References listed on IDEAS

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    1. Geert Soete & Wayne DeSarbo & J. Carroll, 1985. "Optimal variable weighting for hierarchical clustering: An alternating least-squares algorithm," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 173-192, December.
    2. Charles Jones, 1983. "A note on the use of directional statistics in weighted euclidean distances multidimensional scaling models," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 473-476, September.
    3. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
    4. Louis Guttman, 1968. "A general nonmetric technique for finding the smallest coordinate space for a configuration of points," Psychometrika, Springer;The Psychometric Society, vol. 33(4), pages 469-506, December.
    5. Jacqueline Meulman, 1992. "The integration of multidimensional scaling and multivariate analysis with optimal transformations," Psychometrika, Springer;The Psychometric Society, vol. 57(4), pages 539-565, December.
    6. John Ross, 1966. "A remark on tucker and Messick's “points of view” analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(1), pages 27-31, March.
    7. Bruce Bloxom, 1978. "Constrained multidimensional scaling inN spaces," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 397-408, September.
    8. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. II," Psychometrika, Springer;The Psychometric Society, vol. 27(3), pages 219-246, September.
    9. Frits Zegers & Jos Berge, 1985. "A family of association coefficients for metric scales," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 17-24, March.
    10. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    11. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 29(1), pages 1-27, March.
    12. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. I," Psychometrika, Springer;The Psychometric Society, vol. 27(2), pages 125-140, June.
    13. C. Horan, 1969. "Multidimensional scaling: Combining observations when individuals have different perceptual structures," Psychometrika, Springer;The Psychometric Society, vol. 34(2), pages 139-165, June.
    14. Ledyard Tucker & Samuel Messick, 1963. "An individual differences model for multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 28(4), pages 333-367, December.
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    Cited by:

    1. Jacqueline Meulman, 1996. "Fitting a distance model to homogeneous subsets of variables: Points of view analysis of categorical data," Journal of Classification, Springer;The Classification Society, vol. 13(2), pages 249-266, September.
    2. Köhn, Hans-Friedrich, 2010. "Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2343-2357, October.
    3. Kohn, Hans-Friedrich, 2006. "Combinatorial individual differences scaling within the city-block metric," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 931-946, November.
    4. DeSarbo, Wayne S. & Selin Atalay, A. & Blanchard, Simon J., 2009. "A three-way clusterwise multidimensional unfolding procedure for the spatial representation of context dependent preferences," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3217-3230, June.
    5. Jacques Commandeur & Patrick Groenen & Jacqueline Meulman, 1999. "A distance-based variety of nonlinear multivariate data analysis, including weights for objects and variables," Psychometrika, Springer;The Psychometric Society, vol. 64(2), pages 169-186, June.
    6. Etschberger, Stefan & Hilbert, Andreas, 2002. "Multidimensional Scaling and Genetic Algorithms : A Solution Approach to Avoid Local Minima," Arbeitspapiere zur mathematischen Wirtschaftsforschung 181, Universität Augsburg, Institut für Statistik und Mathematische Wirtschaftstheorie.
    7. Geert Soete & Willem Heiser, 1993. "A latent class unfolding model for analyzing single stimulus preference ratings," Psychometrika, Springer;The Psychometric Society, vol. 58(4), pages 545-565, December.

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