Remarks on the identificability of thurstonian paired comparison models under multiple judgment

摘要

It is well-known that the representations of the Thurstonian models for difference judgment data are not unique. It has been shown tat equivalence classes can be formed to provide a more meaning-ful partition of the covariance structures of the Thurstonian ranking models. In this paper, we examine the equivalence relations between Thurstonian covariance structure models for paired comparison data obtained under multiple judgment and discuss their implications on the general identification constraints and methods to check for parameter identifiability in restricted models.