Residual analysis of statistical dependence in multiway contingency tables

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. © 2010 Springer-Verlag Berlin Heidelberg.