The Generalized Multiple CO-inertia Analysis (GMCOA)

Abstract

The Multiple CO-inertia Analysis (MCOA) is a method which makes it possible simultaneously to analyze multiple tables of a multiblock having the same lines (individuals). It stipulates the existence of the auxiliary variables as for the generalized canonical correlation analysis (GCCA). Its numerical stability, its easiness to use and its good properties, make of it a good alternative to the GCCA, which is numerically unstable or not easily interpretable. In this article, we propose a generalization of this method in several multiblocks having the same lines, named: Generalized Multiple CO-inertia Analysis (GMCOA). Properties of this method are given. This method is applied to the sensory analysis.