Michael G. Lacy, An Explained Variation Measure for Ordinal Response Models With Comparisons to Other Ordinal R² Measures, Sociological Methods & Research 2006 34: 469-520.
No explained variation (R2) measure for ordinal response modelsenjoys wide use, and such measures have in fact received littlespecific attention or evaluation. To remedy this gap, the authorpresents and justifies R2O, an explained variation measure forordinal response models, which is based on a recent ordinaldispersion measure. The use and function of R2O is illustrated,and the performance of it and other ordinal R2 measures is comparedvia a series of simulated sampling and variable selection experiments.The R2O and a bias-adjusted version of it perform well in thesimulation experiments and have a number of other advantagesthat make them attractive as measures of fit for any ordinalresponse model.
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