Pearson residuals in multi-way contingency tables

Authors:
Shusaku Tsumoto;Shoji Hirano;Hidenao Abe
Affiliations:
Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan;Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan;Department of Medical Informatics, Faculty of Medicine, Shimane University, Izumo, Japan
Venue:
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Year:
2009

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Abstract

This paper shows the meaning of Pearson residuals as an indicator of statistical indepndence in a multiway contingency table. While information granules of statistical independence of two variables can be viewed as determinants of 2 × 2- submatrices, those of multivariate cases consist of linear sum of residuals for odds ratios, which can be viewed as an extention of determinants in 2 × 2 matrices.