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A parametric procedure for ultrametric tree estimation from conditional rank order proximity data

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  • Martin Young
  • Wayne DeSarbo

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  • 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.
  • Handle: RePEc:spr:psycho:v:60:y:1995:i:1:p:47-75
    DOI: 10.1007/BF02294429
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    References listed on IDEAS

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    1. Geert Soete & Wayne DeSarbo & George Furnas & J. Carroll, 1984. "The estimation of ultrametric and path length trees from rectangular proximity data," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 289-310, September.
    2. Sandra Pruzansky & Amos Tversky & J. Carroll, 1982. "Spatial versus tree representations of proximity data," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 3-24, March.
    3. Geert Soete & J. Carroll & Wayne DeSarbo, 1987. "Least squares algorithms for constructing constrained ultrametric and additive tree representations of symmetric proximity data," Journal of Classification, Springer;The Classification Society, vol. 4(2), pages 155-173, September.
    4. 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.
    5. 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.
    6. 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.
    7. Hotaka Katahira, 1990. "Perceptual Mapping Using Ordered Logit Analysis," Marketing Science, INFORMS, vol. 9(1), pages 1-17.
    8. Eric Holman, 1972. "The relation between hierarchical and euclidean models for psychological distances," Psychometrika, Springer;The Psychometric Society, vol. 37(4), pages 417-423, December.
    9. Suzanne Winsberg & J. Douglas Carroll, 1989. "A quasi-nonmetric method for multidimensional scaling VIA an extended euclidean model," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 217-229, June.
    10. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
    11. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    12. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    13. 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.
    14. 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.
    15. S. Baranzoni & P. Bianchi & L. Lambertini, 2000. "Multiproduct Firms, Product Differentiation, and Market Structure," Working Papers 368, Dipartimento Scienze Economiche, Universita' di Bologna.
    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. W. S. Desarbo & G. de Soete & J. D. Carroll & V. Ramaswamy, 1988. "A new stochastic ultrametric tree unfolding methodology for assessing competitive market structure and deriving market segments," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 4(3), pages 185-204, September.
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