Some Properties of a Recently Introduced Approach to Ordinal Regression

The statistical properties of a novel approach to ordinal regression which was only recently introduced in the literature are discussed. It is shown that for ordinal explanatory variables the approach is equivalent to isotonic regression, with some advantages when dealing with two-sided alternatives. For ordinal response variables the procedure behaves very differently and is asymptotically equivalent to a two-sample t-test between the extreme categories. A penalized version is introduced to improve power, and the procedure is evaluated using Monte Carlo simulations. Finally the method is applied to microarray gene expression data on prostate cancer.

Abstract licence: CC BY

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