PARTIAL RESIDUALS IN CUMULATIVE REGRESSION-MODELS FOR ORDINAL DATA

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.