Classifying classification problems

Gower, J. C. (2004). Classifying classification problems. In: Comptes Rendus des Iles Rencontres de la Société Francophone de Classification (Chavent, M; Dordan, O; Lacomblez, C. C.; Langlais, M and Patouille, B eds.), pp. 41–47.



Classification problems, both for assignment and class construction, are specified either in probabilistic form or not. Underlying issues are (i) the types of sampling unit under consideration: in particular, are they differentiated into previously determined classes (possibly with identical members) or are they undifferentiated and (ii) considerations of the types of variable used; are they quantitative or categorical? Rather than a simple data-matrix, the fundamental form of data is taken to be the between and within-group structure. These considerations lead to a simple cross-classification of familiar, and some novel, classification problems.

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