Communications for Statistical Applications and Methods

  • 제3권1호
  • /
  • Pages.11-19
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  • 1996
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  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Canonical Correlation Biplot

  • 발행 : 1996.04.01
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초록

Canonical correlation analysis is a multivariate technique for identifying and quantifying the statistical relationship between two sets of variables. Like most multivariate techniques, the main objective of canonical correlation analysis is to reduce the dimensionality of the dataset. It would be particularly useful if high dimensional data can be represented in a low dimensional space. In this study, we will construct statistical graphs for paired sets of multivariate data. Specifically, plots of the observations as well as the variables are proposed. We discuss the geometric interpretation and goodness-of-fit of the proposed plots. We also provide a numerical example.

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참고문헌

  1. Biometrika v.58 The biplot graphic display of matrices with application to principal component analysis Gabriel K. R.
  2. Journal of the American Statistical Association v.82 The geometric interpretation of correspondence analysis Greenacre, M.;Hastie, T.
  3. Psychological Bulletin v.87 Canonical correlation in the analysis of a contingency table Holland, T. R.;Levi, M.;Watson, C. G.
  4. Biometrika v.28 Relations between two sets of variables Hotelling, H.
  5. Multivariate Descriptive Statistical Analysis : Correspondence Analysis and Related Techniques for Large Matrices Lebart, L.;Morineau, A.;Warwick, K.
  6. Multivariate Analysis Mardia, K. V.;Kent, J. T.;Bibby, J. M.
  7. Journal of Japanese Society of Computational Statistics v.6 Statistical software SAM II : Sensitivity analysis in multivariate methods Mori, Y.;Tarumi, T.
  8. Analysis of Categorical Data : Dual Scaling and its Applications Nishisato, S.
  9. New approaches in Classification and Data Analysis Research and applications of quantification methods in East Asian countries Tanaka, Y.;Tarumi, T.;Huh, M. H.;E. Diday(et al.)
  10. Handbook of Statistical Analysis with Programs for Personal Computers v.2 Tanaka, Y.;Tarumi, T.;Wakimoto, K.