Alternative methods to multiple correspondence analysis in reconstructing the relevant information in a burt’s table

In this work, the reconstruction of the Burt’s table, Greenacre (1988)’s Joint Correspondence Analysis (JCA), and Gower & Hand (1996)’s Extended Matching Coefficient (EMC) are compared to Multiple Correspondence Analysis (MCA) in order to check the quality of the methods. In particular, for the whole table, the ability is considered separately the diagonal, and the off-diagonal tables, that is the ability to describe either each character’s distribution or the interaction between pairs of characters, or both. The theoretical aspects are discussed first, and finally the results obtained in an application are shown and discussed.