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Nonmetric maximum likelihood multidimensional scaling from directional rankings of similarities

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  • Yoshio Takane
  • J. Carroll

Abstract

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Suggested Citation

  • 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.
  • Handle: RePEc:spr:psycho:v:46:y:1981:i:4:p:389-405
    DOI: 10.1007/BF02293797
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    References listed on IDEAS

    as
    1. J. Ramsay, 1980. "Some small sample results for maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 139-144, March.
    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. 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.
    4. 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.
    5. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    6. Clyde Coombs & Richard Kao, 1960. "On a connection between factor analysis and multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 25(3), pages 219-231, September.
    7. Yoshio Takane, 1981. "Multidimensional successive categories scaling: A maximum likelihood method," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 9-28, March.
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    Citations

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    Cited by:

    1. 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.
    2. Yoshio Takane, 1982. "Maximum likelihood additivity analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(3), pages 225-241, September.
    3. Wayne DeSarbo & Joonwook Park & Crystal Scott, 2008. "A Model-Based Approach for Visualizing the Dimensional Structure of Ordered Successive Categories Preference Data," Psychometrika, Springer;The Psychometric Society, vol. 73(1), pages 1-20, March.
    4. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
    5. Wayne DeSarbo & Joonwook Park & Vithala Rao, 2011. "Deriving joint space positioning maps from consumer preference ratings," Marketing Letters, Springer, vol. 22(1), pages 1-14, March.
    6. Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
    7. Martin Young & Wayne DeSarbo, 1995. "A parametric procedure for ultrametric tree estimation from conditional rank order proximity data," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 47-75, March.
    8. Geert Soete & J. Carroll, 1983. "A maximum likelihood method for fitting the wandering vector model," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 553-566, December.
    9. Yoshio Takane & Justine Sergent, 1983. "Multidimensional scaling models for reaction times and same-different judgments," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 393-423, September.

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