Diagonals–Parameter Symmetry Model and Its Property for Square Contingency Tables with Ordinal Categories

Abstract

The diagonals–parameter symmetry (DPS) model is a proposed method for analyzing square contingency tables with ordinal categories. Previously, it was stated that the generalized DPS (DPS[f]) model was equivalent to the DPS model for any function f, but the proof was not provided. This paper presents the derivation of the DPS[f] model and the proof of the relationship between the two models. The findings offer various interpretations of the DPS model. Additionally, a new model is considered, and it is shown that the proposed model and the DPS[f] model are separable.

Keywords

• conditional symmetry
• <i>f</i>-divergence
• global symmetry
• partial global symmetry