Three Approaches to Aggregation of Interaction Tables

An interaction table is a summable square matrix emerging in analysis of inter-citation, international trade, brand-switching, mobility, or input-output industrial data. Three approaches to aggregation of interaction data are theoretically compared: (i) loglinear modeling, (ii) aggregation of Markov chains, and (iii) principle of equivalence in the correspondence analysis. This way an empirical clustering algorithm, developed in the framework (iii), is justi ed and amended by substantively modeling the interaction processes.