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A stochastic multidimensional scaling vector threshold model for the spatial representation of “pick any/n” data

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  • Wayne DeSarbo
  • Jaewun Cho

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  • Wayne DeSarbo & Jaewun Cho, 1989. "A stochastic multidimensional scaling vector threshold model for the spatial representation of “pick any/n” data," Psychometrika, Springer;The Psychometric Society, vol. 54(1), pages 105-129, March.
    • Handle: RePEc:spr:psycho:v:54:y:1989:i:1:p:105-129
    DOI: 10.1007/BF02294452
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    References listed on IDEAS

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    1. Simon, Herbert A, 1978. "Rationality as Process and as Product of Thought," American Economic Review, American Economic Association, vol. 68(2), pages 1-16, May.
    2. Bengt Muthén, 1978. "Contributions to factor analysis of dichotomous variables," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 551-560, December.
    3. 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.
    4. Joel Levine, 1979. "Joint-space analysis of “pick-any” data: Analysis of choices from an unconstrained set of alternatives," Psychometrika, Springer;The Psychometric Society, vol. 44(1), pages 85-92, March.
    5. Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
    6. Hausman, Jerry A & Wise, David A, 1978. "A Conditional Probit Model for Qualitative Choice: Discrete Decisions Recognizing Interdependence and Heterogeneous Preferences," Econometrica, Econometric Society, vol. 46(2), pages 403-426, March.
    7. Gordon Bechtel & Ledyard Tucker & Wei-Ching Chang, 1971. "A scalar product model for the multidimensional scaling of choice," Psychometrika, Springer;The Psychometric Society, vol. 36(4), pages 369-388, December.
    8. Wayne Desarbo, 1982. "Gennclus: New models for general nonhierarchical clustering analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(4), pages 449-475, December.
    9. Lee Cooper & Masao Nakanishi, 1983. "Two logit models for external analysis of preferences," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 607-620, December.
    10. Maddala,G. S., 1986. "Limited-Dependent and Qualitative Variables in Econometrics," Cambridge Books, Cambridge University Press, number 9780521338257, November.
    11. Bruce Bloxom, 1978. "Constrained multidimensional scaling inN spaces," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 397-408, September.
    12. Hamparsum Bozdogan, 1987. "Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 345-370, September.
    13. Wayne S. DeSarbo & J. Douglas Carroll & Donald R. Lehmann & John O'Shaughnessy, 1982. "Three-Way Multivariate Conjoint Analysis," Marketing Science, INFORMS, vol. 1(4), pages 323-350.
    14. Michel Tenenhaus & Forrest Young, 1985. "An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 91-119, March.
    15. Wayne DeSarbo & J. Douglas Carroll, 1985. "Three-way metric unfolding via alternating weighted least squares," Psychometrika, Springer;The Psychometric Society, vol. 50(3), pages 275-300, September.
    16. Anders Christoffersson, 1975. "Factor analysis of dichotomized variables," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 5-32, March.
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    Citations

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    Cited by:

    1. Joonwook Park & Wayne DeSarbo & John Liechty, 2008. "A Hierarchical Bayesian Multidimensional Scaling Methodology for Accommodating Both Structural and Preference Heterogeneity," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 451-472, September.
    2. DeSarbo, Wayne S. & Kim, Youngchan & Wedel, Michel & Fong, Duncan K. H., 1998. "A Bayesian approach to the spatial representation of market structure from consumer choice data," European Journal of Operational Research, Elsevier, vol. 111(2), pages 285-305, December.
    3. Elrod, Terry & Keane, Michael, 1995. "A Factor-Analytic Probit Model for Representing the Market Structure in Panel Data," MPRA Paper 52434, University Library of Munich, Germany.
    4. DeSarbo Wayne S., 2010. "A Spatial Multidimensional Unfolding Choice Model for Examining the Heterogeneous Expressions of Sports Fan Avidity," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(2), pages 1-24, April.
    5. DeSarbo, Wayne S. & Kim, Youngchan & Fong, Duncan, 1998. "A Bayesian multidimensional scaling procedure for the spatial analysis of revealed choice data," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 79-108, November.
    6. 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.
    7. Wayne DeSarbo & Robert Madrigal, 2012. "Exploring the Demand Aspects of Sports Consumption and Fan Avidity," Interfaces, INFORMS, vol. 42(2), pages 199-212, April.
    8. Duncan Fong & Wayne DeSarbo & Zhe Chen & Zhuying Xu, 2015. "A Bayesian Vector Multidimensional Scaling Procedure Incorporating Dimension Reparameterization with Variable Selection," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 1043-1065, December.
    9. Tomoya Okubo & Shin-ichi Mayekawa, 2015. "Modeling Viewpoint Shifts in Probabilistic Choice," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 412-427, June.
    10. Geert Soete & Wayne DeSarbo, 1991. "A latent class probit model for analyzing pick any/N data," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 45-63, January.

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