On the Application of Conditional Independence to Ordinal Data

Nanny Wermuth and D.R. Cox

International Statistical Review, 1998, vol. 66, issue 2, 181-199

Abstract: A special log linear parameterization is described for contingency tables which exploits prior knowledge that an ordinal scale of the variables is involved. It is helpful, in particular, in guiding the possible merging of adjacent levels of variables and may simplify interpretation if higher‐order interactions are present. Several sets of data are discussed to illustrate the types of interpretation that can be achieved. The simple structure of the maximum likelihood estimates is derived by use of Lagrange multipliers. On décrit une paramétristaion adaptée particulièrement aux des variables ordinales. En particulier celle‐ci pemettra de guider l'operation commetn combiner les niveaux combiner les niveaux adjacents pour simplifier l'interprétation. une illustration des possibilités d'interpréinterprétation de la méthode à plusiurs enseieurs ensembles de données est presentée. La méthode de Largrange expose la structure des estimateurs de maximum vraisemblage.

Date: 1998
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