An extension of MLDA to Three-way Contingency Tables

Abstract

The aim of this paper is to propose an extension of Multiblock Linear Discriminant Analysis (MLDA) 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 extension, 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 re-
lationships between rows and columns of the contingency tables in one hand, and in the other hand, take into account
relationships between contingency tables.