A new method of analysis of Three-way Contingency Tables

The aim of this paper is to propose a new method for analyzing a set of contingency tables which have been observed in different occasions and have the same number of rows and the same number of columns. This method, Multiblock Linear Discriminant Analysis of Three-way Contingency Tables (MLDA-TCT), is midway between correspondence analysis and linear discriminant analysis; MLDA-TCT computes one or several variables for each data table, such that these variables take into account relationships between rows and columns of the contingency tables in one hand, and on the other hand, take into account canonical correlation between data tables and the partition given by the occasions.