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Error structure and identification condition in maximum likelihood nonmetric multidimensional scaling

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  • Abe, Makoto

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  • Abe, Makoto, 1998. "Error structure and identification condition in maximum likelihood nonmetric multidimensional scaling," European Journal of Operational Research, Elsevier, vol. 111(2), pages 216-227, December.
    • Handle: RePEc:eee:ejores:v:111:y:1998:i:2:p:216-227
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    References listed on IDEAS

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    1. David B. MacKay & Joseph L. Zinnes, 1986. "A Probabilistic Model for the Multidimensional Scaling of Proximity and Preference Data," Marketing Science, INFORMS, vol. 5(4), pages 325-344.
    2. 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.
    3. 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.
    4. Hotaka Katahira, 1990. "Perceptual Mapping Using Ordered Logit Analysis," Marketing Science, INFORMS, vol. 9(1), pages 1-17.
    5. 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.
    6. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    7. 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.
    8. 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.
    9. Yoshio Takane, 1981. "Multidimensional successive categories scaling: A maximum likelihood method," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 9-28, March.
    10. J. Ramsay, 1978. "Confidence regions for multidimensional scaling analysis," Psychometrika, Springer;The Psychometric Society, vol. 43(2), pages 145-160, June.
    11. Yoshio Takane & J. Carroll, 1981. "Nonmetric maximum likelihood multidimensional scaling from directional rankings of similarities," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 389-405, December.
    12. Joseph Zinnes & David MacKay, 1983. "Probabilistic multidimensional scaling: Complete and incomplete data," Psychometrika, Springer;The Psychometric Society, vol. 48(1), pages 27-48, March.
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    Cited by:

    1. Leung, Pui Lam & Lau, Kin-nam, 2004. "Estimating the city-block two-dimensional scaling model with simulated annealing," European Journal of Operational Research, Elsevier, vol. 158(2), pages 518-524, October.

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