Models for Ordinal Agreement Data

Abstract

Statistical models can be used to describe the probabilistic structure underlying cross-classified agreement data. This article explains how models for ordinal agreement data can be understood in terms of an association component and an agreement component. The association component accounts for the positive association typically present in ordinal ratings of two observers. The agreement component specifies a model for the diagonal cells of the cross-classified ratings. Several models for ordinal agreement data proposed in the literature are special cases of this approach. A new log-linear model for agreement data that can also be understood in terms of the two components is presented and illustrated using data from a case-control study of coronary heart disease.

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