Simultaneous analysis and multiple factor analysis for contingency tables: Two methods for the joint study of contingency tables

When studying more than one contingency table at the same time, it should be considered that factorial results may be affected by the differences between the totals of the tables and by the different structures of the relationships between such tables. Two new methods have recently appeared that seek to solve this problem based on correspondence analysis, using certain characteristics of multiple factorial analysis. These methods are Simultaneous Analysis (SA) and Multiple Factorial Analysis for Contingency Tables (MFACT). The two methods are very similar, but the main difference between them lies in the allocation of the weights attributed to each table. Similarities and differences between them are discussed and a brief example is provided to show the factorial results provided by each one.