ϕ-Divergence in Contingency Table Analysis

The [Formula: see text]-divergence association models for two-way contingency tables is a family of models that includes the association and correlation models as special cases. We present this family of models, discussing its features and demonstrating the role of [Formula: see text]-divergence in building this family. The most parsimonious member of this family, the model of [Formula: see text]-scaled uniform local association, is considered in detail. It is implemented and representative examples are commented on.