JSM 2004 - Toronto

Abstract #301556

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Activity Number: 268
Type: Topic Contributed
Date/Time: Tuesday, August 10, 2004 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #301556
Title: Nonparametric Coefficient of Determination
Author(s): Li-Shan Huang*+
Companies: University of Rochester
Address: Dept. of Biostatistics, URMC, Rochester, NY, 14642,
Keywords: local linear regression ; nonparametric regression ; coefficient of determination ; R-squared ; degree of freedom
Abstract:

A new nonparametric coefficient of determination (R-squared) is proposed for local linear regression. It aims to measure the proportion of variation of a response explained by a nonparametric curve fitted by local linear regression for a given bandwidth. An adjusted nonparametric R-squared is also presented by adjusting the sums of squares with the corresponding degree of freedom. Asymptotic results are given as a theoretical basis for the new nonparametric R-squared. We examine practical performance of the new nonparametric R-squared via simulations, and compare with a correlation-based nonparametric R-squared studied by Doksum and Samarov (1995).


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