Pearson Residuals in Multi-way Contingency Tables

摘要

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 X 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.