Pearson residuals in multi-way contingency tables
Shusaku Tsumoto, Shoji Hirano, Hidenao Abe · 2009
This paper shows the meaning of Pearson residuals as an indicator of statistical independence in a multi-way 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.