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Journal of Applied Mathematics
Volume 2014, Article ID 435925, 5 pages
Research Article

Testing Heteroscedasticity in Nonparametric Regression Based on Trend Analysis

1School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China
2Electronic Equipment Test Center, Luoyang 471003, China

Received 27 January 2014; Revised 26 May 2014; Accepted 26 May 2014; Published 11 June 2014

Academic Editor: Zhihua Zhang

Copyright © 2014 Si-Lian Shen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We first propose in this paper a new test method for detecting heteroscedasticity of the error term in nonparametric regression. Some simulation experiments are then conducted to evaluate the performance of the proposed methodology. A real-world data set is finally analyzed to demonstrate the application of the method.