A general similarity measure for simple correspondence analysis

This article presents a general similarity measure for comparing different variants of simple correspondence analysis when analysing the association using the Cressie-Read family of divergence statistics (Beh and Lombardo 2024, International Statistical Review). It includes, as special cases, the similarity measures that have been proposed in the correspondence analysis literature for assessing the similarities and differences between the traditional approach to simple correspondence analysis and new approaches like the log-ratio analysis, and the Hellinger distance method. This article describes six further properties that show how the proposed general similarity measure can be expanded upon.