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Corpus ID: 220347226

Non-parametric ordinal regression under a monotonicity constraint

@article{Saarela2020NonparametricOR,
title={Non-parametric ordinal regression under a monotonicity constraint},
author={O. Saarela and Christian Rohrbeck and E. Arjas},
journal={arXiv: Methodology},
year={2020}
}

Compared to the nominal scale, ordinal scale for a categorical outcome variable has the property of making a monotonicity assumption for the covariate effects meaningful. This assumption is encoded in the commonly used proportional odds model, but there it is combined with other parametric assumptions such as linearity and additivity. Herein, we consider models where monotonicity is used as the only modeling assumption when modeling the effects of covariates on the cumulative probabilities of… Expand