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Geometric representation of association between categories

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  • Willem Heiser

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    File URL: http://hdl.handle.net/10.1007/BF02289854
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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 69 (2004)
    Issue (Month): 4 (December)
    Pages: 513-545

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    Handle: RePEc:spr:psycho:v:69:y:2004:i:4:p:513-545

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    Related research

    Keywords: Categorical data; simplex; triangular plot; paired comparisons; rank orders; permutation polytope; center of gravity; BTL model; Rasch model; inertia; association model; variation; multidimensional unfolding; biplot; multinomial response model; loglinear model; forced classification; classification tree;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Sik-Yum Lee & Wai-Yin Poon & P. Bentler, 1992. "Structural equation models with continuous and polytomous variables," Psychometrika, Springer, vol. 57(1), pages 89-105, March.
    2. Henk Kelderman & Carl Rijkes, 1994. "Loglinear multidimensional IRT models for polytomously scored items," Psychometrika, Springer, vol. 59(2), pages 149-176, June.
    3. Michael Greenacre, 1988. "Clustering the rows and columns of a contingency table," Journal of Classification, Springer, vol. 5(1), pages 39-51, March.
    4. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer, vol. 52(4), pages 493-513, December.
    5. Joseph Kruskal & Roger Shepard, 1974. "A nonmetric variety of linear factor analysis," Psychometrika, Springer, vol. 39(2), pages 123-157, June.
    6. Forrest Young & Yoshio Takane & Jan Leeuw, 1978. "The principal components of mixed measurement level multivariate data: An alternating least squares method with optimal scaling features," Psychometrika, Springer, vol. 43(2), pages 279-281, June.
    7. Heiser, Willem J. & Meulman, Jacqueline, 1983. "Analyzing rectangular tables by joint and constrained multidimensional scaling," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 139-167.
    8. Boris Mirkin & Phipps Arabie & Lawrence Hubert, 1995. "Additive two-mode clustering: The error-variance approach revisited," Journal of Classification, Springer, vol. 12(2), pages 243-263, September.
    9. K. Deun & P. Groenen & W. Heiser & F. Busing & L. Delbeke, 2005. "Interpreting degenerate solutions in unfolding by use of the vector model and the compensatory distance model," Psychometrika, Springer, vol. 70(1), pages 45-69, March.
    10. Geert Soete & Willem Heiser, 1993. "A latent class unfolding model for analyzing single stimulus preference ratings," Psychometrika, Springer, vol. 58(4), pages 545-565, December.
    11. Mark Rooij & Willem Heiser, 2005. "Graphical representations and odds ratios in a distance-association model for the analysis of cross-classified data," Psychometrika, Springer, vol. 70(1), pages 99-122, March.
    12. Frank Busing & Patrick Groenen & Willem Heiser, 2005. "Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation," Psychometrika, Springer, vol. 70(1), pages 71-98, March.
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    Cited by:
    1. Fionn Murtagh, 2009. "The Remarkable Simplicity of Very High Dimensional Data: Application of Model-Based Clustering," Journal of Classification, Springer, vol. 26(3), pages 249-277, December.
    2. Adi Ben-Israel & Cem Iyigun, 2008. "Probabilistic D-Clustering," Journal of Classification, Springer, vol. 25(1), pages 5-26, June.

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