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The representation of three-way proximity data by single and multiple tree structure models

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  • J. Carroll
  • Linda Clark
  • Wayne DeSarbo

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  • J. Carroll & Linda Clark & Wayne DeSarbo, 1984. "The representation of three-way proximity data by single and multiple tree structure models," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 25-74, December.
    • Handle: RePEc:spr:jclass:v:1:y:1984:i:1:p:25-74
    DOI: 10.1007/BF01890116
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Shmuel Sattath & Amos Tversky, 1977. "Additive similarity trees," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 319-345, September.
    4. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 575-595, December.
    5. Phipps Arabie & J. Carroll, 1980. "Mapclus: A mathematical programming approach to fitting the adclus model," Psychometrika, Springer;The Psychometric Society, vol. 45(2), pages 211-235, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Akinori Okada & Hans-Hermann Bock & F. Murtagh & F. Rohlf & Wei-Chien Chang & Shizuhiko Nishisato & Robert Sokal & Carolyn Anderson & Frank Critchley & Frank Critchley & Robert Golden, 1989. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 6(1), pages 121-161, December.
    2. Kaye Basford & Geoffrey McLachlan, 1985. "The mixture method of clustering applied to three-way data," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 109-125, December.
    3. 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.
    4. Bocci, Laura & Vicari, Donatella & Vichi, Maurizio, 2006. "A mixture model for the classification of three-way proximity data," Computational Statistics & Data Analysis, Elsevier, vol. 50(7), pages 1625-1654, April.
    5. Geert Soete, 1984. "Ultrametric tree representations of incomplete dissimilarity data," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 235-242, December.
    6. Simon Blanchard & Wayne DeSarbo, 2013. "A New Zero-Inflated Negative Binomial Methodology for Latent Category Identification," Psychometrika, Springer;The Psychometric Society, vol. 78(2), pages 322-340, April.
    7. repec:dgr:rugsom:96b34 is not listed on IDEAS
    8. Wedel, Michel & DeSarbo, Wayne S., 1996. "Semiparametric estimation of (constrained) ultrametric trees," Research Report 96B34, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    9. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
    10. Vichi, Maurizio, 1998. "Principal classifications analysis: a method for generating consensus dendrograms and its application to three-way data," Computational Statistics & Data Analysis, Elsevier, vol. 27(3), pages 311-331, May.
    11. Michel Wedel & Wayne DeSarbo, 1998. "Mixtures of (constrained) ultrametric trees," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 419-443, December.
    12. Gordon, A. D., 1996. "A survey of constrained classification," Computational Statistics & Data Analysis, Elsevier, vol. 21(1), pages 17-29, January.
    13. 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.

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