Statistical Independence of Multi-variables from the Viewpoint of Linear Algebra

  • Shusaku Tsumoto
  • Shoji Hirano
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5306)

Abstract

This paper focuses on statistical independence of three variables from the viewpoint of linear algebra. While information granules of statistical independence of two variables can be viewed as determinants of 2 ×2- submatrices, those of three variables consist of linear combination of odds ratios.

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References

  1. 1.
    Coxeter, H. (ed.): Projective Geometry, 2nd edn. Springer, New York (1987)MATHGoogle Scholar
  2. 2.
    Tsumoto, S., Hirano, S.: Meaning of pearson residuals - linear algebra view. In: Proceedings of IEEE GrC 2007. IEEE press, Los Alamitos (2007)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Shusaku Tsumoto
    • 1
  • Shoji Hirano
    • 1
  1. 1.Department of Medical Informatics, Faculty of MedicineShimane UniversityJapan

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