Local polynomial regression with an ordinal covariate

Zonglin He, Jean D. Opsomer

Research output: Contribution to journalArticlepeer-review

Abstract

We are interested in fitting a nonparametric regression model to data when the covariate is an ordered categorical variable. We extend the local polynomial estimator, which normally requires continuous covariates, to a local polynomial estimator that allows for ordered categorical covariates. We derive the asymptotic conditional bias and variance under the assumption that the categories correspond to quantiles of an unobserved continuous latent variable. We conduct a simulation study with two patterns of ordinal data to evaluate our estimator.

Original languageEnglish (US)
Pages (from-to)516-531
Number of pages16
JournalJournal of Nonparametric Statistics
Volume27
Issue number4
DOIs
StatePublished - Oct 2 2015

Keywords

  • categorical covariate
  • kernel regression

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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