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...ch of the x_i is in the "correct" Voronoi cell, i.e. the Voronoi cell corresponding with the category of variable j that i was in (i.e. for which g_{ijl}=1). This generalizes multidimensional IRT models, the choice models used for voting data in political science, the Goodman-Haberman-Gilula-Ritov distance association models, the Luce-Shepard choice model, and so on, to multivariate/multicategory data. It is part of the "Gifi Goes Logistic" project. The algorithm is based on majorization, starting with multiple correspondence analysis, and each iteration does one step of...