Publication details for Tahani Coolen-MaturiCoolen, F.P.A., Coolen-Schrijner, P. & Coolen-Maturi, T. (2013). Nonparametric Predictive Inference for Ordinal Data. Communications in Statistics - Theory and Methods 42(19): 3478-3496.
- Publication type: Journal Article
- ISSN/ISBN: 0361-0926, 1532-415X
- DOI: 10.1080/03610926.2011.632104
- Further publication details on publisher web site
Author(s) from Durham
Nonparametric predictive inference (NPI) is a powerful frequentist statistical framework based only on an exchangeability assumption for future and past observations, made possible by the use of lower and upper probabilities. In this article, NPI is presented for ordinal data, which are categorical data with an ordering of the categories. The method uses a latent variable representation of the observations and categories on the real line. Lower and upper probabilities for events involving the next observation are presented, and briefly compared to NPI for non ordered categorical data. As application, the comparison of multiple groups of ordinal data is presented.