Conjunctive prediction of an ordinal criterion variable on the basis of binary predictors

  • Authors:

  • L. Lombardi;I. Van Mechelen

  • Affiliations:

  • Katholieke Universiteit Leuven, Department of Psychology, Tiensestraat 102, B-3000 Leuven, Belgium and Università di Trento, Department of Cognitive Sciences and Education, via Matteo del Ben ...;Katholieke Universiteit Leuven, Department of Psychology, Tiensestraat 102, B-3000 Leuven, Belgium

  • Venue:
  • Discrete Applied Mathematics - Ordinal and symbolic data analysis (OSDA 2000)
  • Year:
  • 2005

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Abstract

In this paper we propose an empirical prediction method to retrieve, for a given ordinal criterion and a set of binary predictors, a series of nested sets of predictors, each set containing all singly necessary (and, if feasible, jointly sufficient) predictors for a particular criterion value. The method extends a previously developed approach to construct approximate Galois lattice models of binary data. After sketching an outline of the new model and associated algorithm we illustrate our method with an application to real psychological data on the experience of anger.