Correspondence analysis of contingency tables

This paper deals with the multidimensional representation of the dependence between row and column variables of contingency tables using the correspondence analysis. It includes: (1) estimation of the optimal weights that maximize the canonical correlation between two categorical variables by an optimization iterative method, (2) testing the discriminability of the estimated scoring scheme, (3) evaluating the relative contribution of categories (rows or columns) for each dimension, (4) simultaneous symmetric graphical representation of row and column points. The method is applicable to two-way contingency tables or multi-way tables concatenated to two-way tables through merging variables to form interactive ones.