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A Latent Class Multidimensional Scaling Model for Two-Way One-Mode Continuous Rating Dissimilarity Data

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  • J. Vera
  • Rodrigo Macías
  • Willem Heiser

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  • J. Vera & Rodrigo Macías & Willem Heiser, 2009. "A Latent Class Multidimensional Scaling Model for Two-Way One-Mode Continuous Rating Dissimilarity Data," Psychometrika, Springer;The Psychometric Society, vol. 74(2), pages 297-315, June.
    • Handle: RePEc:spr:psycho:v:74:y:2009:i:2:p:297-315
    DOI: 10.1007/s11336-008-9104-x
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    References listed on IDEAS

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    1. Wedel, Michel & DeSarbo, Wayne S, 1996. "An Exponential-Family Multidimensional Scaling Mixture Methodology," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 447-459, October.
    2. Willem Heiser & Patrick Groenen, 1997. "Cluster differences scaling with a within-clusters loss component and a fuzzy successive approximation strategy to avoid local minima," Psychometrika, Springer;The Psychometric Society, vol. 62(1), pages 63-83, March.
    3. Alex Murillo & J. Fernando Vera & Willem J. Heiser, 2005. "A Permutation-Translation Simulated Annealing Algorithm for L 1 and L 2 Unidimensional Scaling," Journal of Classification, Springer;The Classification Society, vol. 22(1), pages 119-138, June.
    4. Wilfried Seidel & Karl Mosler & Manfred Alker, 2000. "A Cautionary Note on Likelihood Ratio Tests in Mixture Models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(3), pages 481-487, September.
    5. Rick L. Andrews & Ajay K. Manrai, 1999. "MDS Maps for Product Attributes and Market Response: An Application to Scanner Panel Data," Marketing Science, INFORMS, vol. 18(4), pages 584-604.
    6. Suzanne Winsberg & Geert Soete, 1993. "A latent class approach to fitting the weighted Euclidean model, clascal," Psychometrika, Springer;The Psychometric Society, vol. 58(2), pages 315-330, June.
    7. J. Fernando Vera & Willem J. Heiser & Alex Murillo, 2007. "Global Optimization in Any Minkowski Metric: A Permutation-Translation Simulated Annealing Algorithm for Multidimensional Scaling," Journal of Classification, Springer;The Classification Society, vol. 24(2), pages 277-301, September.
    8. Wayne DeSarbo & Daniel Howard & Kamel Jedidi, 1991. "Multiclus: A new method for simultaneously performing multidimensional scaling and cluster analysis," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 121-136, March.
    9. J. Ramsay, 1973. "The effect of number of categories in rating scales on precision of estimation of scale values," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 513-532, December.
    10. 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.
    11. 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.
    12. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    13. Geert Soete & Suzanne Winsberg, 1993. "A thurstonian pairwise choice model with univariate and multivariate spline transformations," Psychometrika, Springer;The Psychometric Society, vol. 58(2), pages 233-256, June.
    14. Michael J. Brusco, 2001. "A Simulated Annealing Heuristic for Unidimensional and Multidimensional (City-Block) Scaling of Symmetric Proximity Matrices," Journal of Classification, Springer;The Classification Society, vol. 18(1), pages 3-33, January.
    15. S. Ingrassia, 1991. "Mixture decomposition via the simulated annealing algorithm," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 7(4), pages 317-325, December.
    16. 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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    Cited by:

    1. 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.
    2. J. Fernando Vera & Rodrigo Macías, 2021. "On the Behaviour of K-Means Clustering of a Dissimilarity Matrix by Means of Full Multidimensional Scaling," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 489-513, June.
    3. J. Vera & Rodrigo Macías & Willem Heiser, 2013. "Cluster Differences Unfolding for Two-Way Two-Mode Preference Rating Data," Journal of Classification, Springer;The Classification Society, vol. 30(3), pages 370-396, October.
    4. J. Fernando Vera & Rodrigo Macías, 2017. "Variance-Based Cluster Selection Criteria in a K-Means Framework for One-Mode Dissimilarity Data," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 275-294, June.

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