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An Explained Variation Measure for Ordinal Response Models With Comparisons to Other Ordinal R² Measures

Colorado State University

No explained variation (R²) measure for ordinal response models enjoys wide use, and such measures have in fact received little specific attention or evaluation. To remedy this gap, the author presents and justifies R²_O, an explained variation measure for ordinal response models, which is based on a recent ordinal dispersion measure. The use and function of R²_O is illustrated, and the performance of it and other ordinal R² measures is compared via a series of simulated sampling and variable selection experiments. The R²_O and a bias-adjusted version of it perform well in the simulation experiments and have a number of other advantages that make them attractive as measures of fit for any ordinal response model.

Key Words: ordinal response models • variation measure • R2O • R2 measures

Sociological Methods & Research, Vol. 34, No. 4, 469-520 (2006)
DOI: 10.1177/0049124106286329


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