Applying R² – Type Measures to Ordered Categorical Data

Abstract

The concentration and entropy measures for categorical data tend to be highly dependent on the choice of response categories. If the categorization of the response variable is arbitiary but it is reasonable to assume an underlying continuous distribution, then an adaptation of the regression R ² measure can be useful for describing multiple association.

KEY WORDS:

• Analysis of dispersion
• Concentration
• Contingency table
• Correlation ratio
• Entropy
• Log-linear models
• Ordinal data
• Proportional reduction in variance
• R squared