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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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    Abstract

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    File URL: http://hdl.handle.net/10.1007/BF01890116
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    Bibliographic Info

    Article provided by Springer in its journal Journal of Classification.

    Volume (Year): 1 (1984)
    Issue (Month): 1 (December)
    Pages: 25-74

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    Handle: RePEc:spr:jclass:v:1:y:1984:i:1:p:25-74

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    Web page: http://www.springerlink.com/link.asp?id=101794

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    Related research

    Keywords: Clustering; Alternating least squares; Discrete optimization;

    References

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    1. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer, vol. 35(3), pages 283-319, September.
    2. Phipps Arabie & J. Carroll, 1980. "Mapclus: A mathematical programming approach to fitting the adclus model," Psychometrika, Springer, vol. 45(2), pages 211-235, June.
    3. Shmuel Sattath & Amos Tversky, 1977. "Additive similarity trees," Psychometrika, Springer, vol. 42(3), pages 319-345, September.
    4. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer, vol. 48(4), pages 575-595, December.
    5. Sandra Pruzansky & Amos Tversky & J. Carroll, 1982. "Spatial versus tree representations of proximity data," Psychometrika, Springer, vol. 47(1), pages 3-24, March.
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    Cited by:
    1. 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.
    2. 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, vol. 6(1), pages 121-161, December.
    3. Gordon, A. D., 1996. "A survey of constrained classification," Computational Statistics & Data Analysis, Elsevier, vol. 21(1), pages 17-29, January.
    4. Kaye Basford & Geoffrey McLachlan, 1985. "The mixture method of clustering applied to three-way data," Journal of Classification, Springer, vol. 2(1), pages 109-125, December.
    5. 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, vol. 4(2), pages 155-173, September.
    6. 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.

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