K-Centroids Hierarchical Classes Analysis

In this paper we present a new model for binary two-way two-mode clustering, called K-centroids hierarchical classes model (KC-HICLAS). KC-HICLAS is a new,member,of the family of hierarchical classes models (HICLAS) (De Boeck and Rosenberg, 1988). Like any HICLAS model, the KC-HICLAS model includes a hierarchical classification of the elements of each mode,and a linking structure between the two hierarchies. Unlike other HICLAS mod- els, KC-HICLAS explicitly limits the classification of the elements of one mode to maximum K (not necessarily distinct) classes. An algorithm to fit the KC-HICLAS model is described and evaluated in a simulation study. The model is then illustrated with two applications (one