Residual analysis of statistical dependence in multiway contingency tables

  • Authors:
  • Shusaku Tsumoto;Shoji Hirano

  • Affiliations:
  • Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan;Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan

  • Venue:
  • RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
  • Year:
  • 2010

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Abstract

A Pearson residual is defined as the residual between actual values and expected ones of each cell in a contingency table. This paper shows that this residual is represented as linear sum of determinants of 2×2, which suggests that the geometrical nature of the residuals can be viewed from grasmmanian algebra.