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Abstract Details

Activity Number: 504
Type: Contributed
Date/Time: Wednesday, August 1, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304461
Title: Local Polynomial Regression with an Ordinal Covariate
Author(s): Zonglin He*+ and Jean Opsomer
Companies: Colorado State University and Colorado State University
Address: Department of Statistics, Fort Collins, CO, 80526, United States

We are interested in fitting a nonparametric regression model to data for the situation in which 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 for the local polynomial estimator with ordinal covariate, under the assumption that the categories correspond to quantiles of an unobserved continuous latent variable.

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