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Multidimensional successive categories scaling: A maximum likelihood method

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  • Yoshio Takane

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  • Yoshio Takane, 1981. "Multidimensional successive categories scaling: A maximum likelihood method," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 9-28, March.
  • Handle: RePEc:spr:psycho:v:46:y:1981:i:1:p:9-28
    DOI: 10.1007/BF02293914
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    References listed on IDEAS

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    1. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    2. 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.
    3. Peter Schönemann & Ledyard Tucker, 1967. "A maximum likelihood solution for the method of successive intervals allowing for unequal stimulus dispersions," Psychometrika, Springer;The Psychometric Society, vol. 32(4), pages 403-417, December.
    4. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    5. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    6. 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.
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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. Tammo H.A. Bijmolt & Michel Wedel & Wayne S. DeSarbo, 2021. "Adaptive Multidimensional Scaling: Brand Positioning Based on Decision Sets and Dissimilarity Judgments," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 8(1), pages 1-15, June.
    3. Gert Storms, 1995. "On the robustness of maximum likelihood scaling for violations of the error model," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 247-258, June.
    4. Ulf Böckenholt & Ingo Böckenholt, 1991. "Constrained latent class analysis: Simultaneous classification and scaling of discrete choice data," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 699-716, December.
    5. J. Carroll, 1985. "Review," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 133-140, March.
    6. Bijmolt, T.H.A. & Wedel, M. & DeSarbo, W.S., 2002. "Adaptive Multidimensional Scaling : The Spatial Representation of Brand Consideration and Dissimilarity Judgments," Discussion Paper 2002-82, Tilburg University, Center for Economic Research.
    7. 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.
    8. Dawn Iacobucci & Doug Grisaffe & Wayne DeSarbo, 2017. "Statistical perceptual maps: using confidence region ellipses to enhance the interpretations of brand positions in multidimensional scaling," Journal of Marketing Analytics, Palgrave Macmillan, vol. 5(3), pages 81-98, December.
    9. Wayne DeSarbo & Donald Lehmann & Gregory Carpenter & Indrajit Sinha, 1996. "A stochastic multidimensional unfolding approach for representing phased decision outcomes," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 485-508, September.
    10. 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.
    11. Yoshio Takane & Henk Kiers & Jan Leeuw, 1995. "Component analysis with different sets of constraints on different dimensions," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 259-280, June.
    12. Bijmolt, T.H.A. & Wedel, M. & DeSarbo, W.S., 2002. "Adaptive Multidimensional Scaling : The Spatial Representation of Brand Consideration and Dissimilarity Judgments," Other publications TiSEM 26b65f04-0d5f-42d6-8a85-8, Tilburg University, School of Economics and Management.
    13. J. Ramsey, 1986. "A PROC MATRIX program for preference-dissimilarity multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 163-170, March.
    14. Claes Fornell & Roland Rust, 1989. "Incorporating prior theory in covariance structure analysis: A bayesian approach," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 249-259, June.
    15. Janice Kirner Providelo & Suely Penha Sanches, 2011. "Roadway and traffic characteristics for bicycling," Transportation, Springer, vol. 38(5), pages 765-777, September.
    16. 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.
    17. Saburi, S. & Chino, N., 2008. "A maximum likelihood method for an asymmetric MDS model," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4673-4684, June.
    18. 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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