Proposition of analyses in a vertical multi-table and analyses of links between two vertical multi-tables: methods (sVMA and sOVMA) and (sCIA3 and sOCIA3)

Gabriel Kissita, Rodnellin Onesime Malouata, Dominique Mizere, Roger Armand Makany
2013 Applied Mathematical Sciences  
The co-inertia analysis of two tables leads to study the common structure between these groups of variables. But when the tables are repeated in time or space, to study the stability of the relationship between these two groups of variables, STATICO method seeks to synthesize this relationship. Recently in the same context as STATICO, some methods have been proposed to solve this fundamental question that is the study G. Kissita, R. O. Malouata, D. Mizere and R. A. Makany of stability of the
more » ... stability of the relationship between these two groups of variables, such as canonical correlation analysis between two vertical multi-tables and the co-inertia analyses between two vertical multi-tables. In this article, we first propose an approach to determine the link between tables in a vertical multi-tables, and then we propose an extension of this method to the case of the relationship between two vertical multi-tables leading to another co-inertia analysis between two vertical multi-tables. An example data set is analyzed to show the interest of the method and the results are compared to other methods.
doi:10.12988/ams.2013.38484 fatcat:hlhx52dzbbguhg6yuspt2u7avi