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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. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 575-595, December.
    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. 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.
    4. Shmuel Sattath & Amos Tversky, 1977. "Additive similarity trees," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 319-345, September.
    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. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
    3. 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.
    4. 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.
    5. 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.
    6. Geert Soete, 1984. "Ultrametric tree representations of incomplete dissimilarity data," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 235-242, December.
    7. 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.
    8. 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.
    9. Michel Wedel & Wayne DeSarbo, 1998. "Mixtures of (constrained) ultrametric trees," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 419-443, December.
    10. Gordon, A. D., 1996. "A survey of constrained classification," Computational Statistics & Data Analysis, Elsevier, vol. 21(1), pages 17-29, January.
    11. repec:dgr:rugsom:96b34 is not listed on IDEAS
    12. 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).
    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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