Cumulative Correspondence Analysis of Two-Way Ordinal Contingency Tables

Abstract

A suitable measure of association for two ordered variables is the doubly cumulative chi-squared statistic (Hirotsu, 1994). This statistic is obtained by considering the cumulative sum of cell frequencies across the variables. In this article, we explore the development of correspondence analysis which takes into account the presence of two ordered variables by partitioning the doubly cumulative chi-squared statistic.

Keywords:

• Doubly cumulative correspondence analysis
• Hirotsu's chi-squared statistic
• Ordered categories

Mathematics Subject Classification:

• 62H25
• 62H17

Acknowledgments

We are very grateful to the anonymous reviewers for their helpful suggestions and comments which helped in improving the article.