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The estimation of ultrametric and path length trees from rectangular proximity data

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  • Geert Soete
  • Wayne DeSarbo
  • George Furnas
  • J. Carroll

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  • 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.
  • Handle: RePEc:spr:psycho:v:49:y:1984:i:3:p:289-310
    DOI: 10.1007/BF02306021
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    References listed on IDEAS

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    1. Wayne Desarbo, 1982. "Gennclus: New models for general nonhierarchical clustering analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(4), pages 449-475, December.
    2. William T. McCormick & Paul J. Schweitzer & Thomas W. White, 1972. "Problem Decomposition and Data Reorganization by a Clustering Technique," Operations Research, INFORMS, vol. 20(5), pages 993-1009, October.
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    Citations

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    Cited by:

    1. W. Krzanowski & Gregory Cermak & Jan Leeuw & Fionn Murtagh & Peter Bryant & Bernard Monjardet & Chikio Hayashi, 1985. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 277-299, December.
    2. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
    3. Simon Blanchard & Wayne DeSarbo & A. Atalay & Nukhet Harmancioglu, 2012. "Identifying consumer heterogeneity in unobserved categories," Marketing Letters, Springer, vol. 23(1), pages 177-194, March.
    4. Donatella Vicari, 2014. "Classification of Asymmetric Proximity Data," Journal of Classification, Springer;The Classification Society, vol. 31(3), pages 386-420, October.
    5. Kamel Jedidi & Wayne DeSarbo, 1991. "A stochastic multidimensional scaling procedure for the spatial representation of three-mode, three-way pick any/J data," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 471-494, September.
    6. Köhn, Hans-Friedrich, 2010. "Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2343-2357, October.
    7. Geert Soete, 1984. "Ultrametric tree representations of incomplete dissimilarity data," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 235-242, December.
    8. Wayne DeSarbo & Ajay Manrai & Raymond Burke, 1990. "A nonspatial methodology for the analysis of two-way proximity data incorporating the distance-density hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 229-253, June.
    9. G. Damiana Costanzo, 2001. "A constrainedk-means clustering algorithm for classifying spatial units," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 237-256, January.
    10. 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.
    11. N. Sriram & Scott Lewis, 1993. "Constructing optimal ultrametrics," Journal of Classification, Springer;The Classification Society, vol. 10(2), pages 241-268, December.
    12. Geert Soete, 1986. "Optimal variable weighting for ultrametric and additive tree clustering," Quality & Quantity: International Journal of Methodology, Springer, vol. 20(2), pages 169-180, June.
    13. K. Klauer & J. Carroll, 1991. "A comparison of two approaches to fitting directed graphs to nonsymmetric proximity measures," Journal of Classification, Springer;The Classification Society, vol. 8(2), pages 251-268, December.
    14. Diane Duffy & adolfo Quiroz, 1991. "A permutation-based algorithm for block clustering," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 65-91, January.

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    Keywords

    Cluster Analysis; Trees;

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