Ordinal correspondence analysis based on cumulative chi-squared test

Taguchi's statistic has long been known to be a more appropriate measure of symmetric association for ordered categorical variables than the Pearson chi-squared statistic. Therefore, there is some advantage in using Taguchi's statistic for performing correspondence analysis when a two-way contingency table consists of ordered categorical variables. This paper will explore the development of ordered correspondence analysis using the Taguchi's index and show that is mathematically analogousto classical correspondence analysis.