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Nonmetric Linear Biplots

Author

Listed:
  • J. C. Gower
  • J. J. Meulman
  • G. M. Arnold

Abstract

A methodology is developed for constructing linear biplots for a class of nonmetric multidimensional scaling methods for multivariate data. The nonlinear transformations of nonmetric scaling manifest themselves in irregularly spaced calibration markers. Two approaches are examined, one based on Procrustean embedding, the other on a modification of the popular regression method. The widespread use of an unmodified regression method in association with nonlinear transformations is questioned. An example is given. The methodology presented here could potentially be developed to give an optimal represention of a matrix in fewer geometric dimensions than its rank. Copyright Springer-Verlag New York Inc. 1999

Suggested Citation

  • J. C. Gower & J. J. Meulman & G. M. Arnold, 1999. "Nonmetric Linear Biplots," Journal of Classification, Springer;The Classification Society, vol. 16(2), pages 181-196, July.
    • Handle: RePEc:spr:jclass:v:16:y:1999:i:2:p:181-196
    DOI: 10.1007/s003579900053
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    Cited by:

    1. la Grange, Anthony & le Roux, Niël & Gardner-Lubbe, Sugnet, 2009. "BiplotGUI: Interactive Biplots in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 30(i12).
    2. Patrick Groenen & Niël Roux & Sugnet Gardner-Lubbe, 2015. "Spline-based nonlinear biplots," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 9(2), pages 219-238, June.
    3. repec:jss:jstsof:30:i12 is not listed on IDEAS

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