Regression for ordinal variables without underlying continuous variables

  • Authors:
  • Vicenç Torra;Josep Domingo-Ferrer;Josep M. Mateo-Sanz;Michael Ng

  • Affiliations:
  • Institut d'Investigació en Intelligència Artificial-CSIC, Campus UAB s/n, E-08193 Bellaterra, Catalonia, Spain;Universitat Rovira i Virgili, Dept. of Comp. Eng. and Maths, Av. Paısos Catalans 26, E-43007 Tarragona, Catalonia, Spain;Universitat Rovira i Virgili, Statistics and OR Group, Av. Paısos Catalans 26, E-43007 Tarragona, Catalonia, Spain;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

Several techniques exist nowadays for continuous (i.e. numerical) data analysis and modeling. However, although part of the information gathered by companies, statistical offices and other institutions is numerical, a large part of it is represented using categorical variables in ordinal or nominal scales. Techniques for model building on categorical data are required to take advantage of such a wealth of information. In this paper, current approaches to regression for ordinal data are reviewed and a new proposal is described which has the advantage of not assuming any latent continuous variable underlying the dependent ordinal variable. Estimation in the new approach can be implemented using genetic algorithms. An artificial example is presented to illustrate the feasibility of the proposal.