Abstract
We are concerned with cumulative regression models for an ordered categorical response variable Y. We propose two methods to build partial residuals from regression on a subset Z1 of covariates Z., which take into regard the ordinal character of the response. The first method makes use of a multivariate GLM-representation of the model and produces residual measures for diagnostic purposes. The second uses a latent continuous variable model and yields new (adjusted) ordinal data Y*. Both methods are illustrated by a data set from forestry.
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Pruscha, H. Partial residuals in cumulative regression models for ordinal data. Statistical Papers 35, 273–284 (1994). https://doi.org/10.1007/BF02926419
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DOI: https://doi.org/10.1007/BF02926419