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Testing the Significance of Categorical Predictor Variables in Nonparametric Regression Models 

Authors: Jeffery S. Racine a;  Jeffrey Hart b; Qi Li cd
Affiliations:   a Department of Economics, McMaster University, Hamilton, Ontario, Canada
b Department of Statistics, Texas A& M University, College Station, Texas, USA
c Department of Economics, Texas A& M University, College Station, Texas, USA
d Tsinghua University, Beijing, China
DOI: 10.1080/07474930600972590
Publication Frequency: 6 issues per year
Published in: journal Econometric Reviews, Volume 25, Issue 4 December 2006 , pages 523 - 544
Formats available: HTML (English) : PDF (English)
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Abstract

In this paper we propose a test for the significance of categorical predictors in nonparametric regression models. The test is fully data-driven and employs cross-validated smoothing parameter selection while the null distribution of the test is obtained via bootstrapping. The proposed approach allows applied researchers to test hypotheses concerning categorical variables in a fully nonparametric and robust framework, thereby deflecting potential criticism that a particular finding is driven by an arbitrary parametric specification. Simulations reveal that the test performs well, having significantly better power than a conventional frequency-based nonparametric test. The test is applied to determine whether OECD and non-OECD countries follow the same growth rate model or not. Our test suggests that OECD and non-OECD countries follow different growth rate models, while the tests based on a popular parametric specification and the conventional frequency-based nonparametric estimation method fail to detect any significant difference.
Keywords: Discrete regressors; Inference; Kernel smoothing
JEL Classification: (Primary and Secondary JEL): C1 - Econometric and Statistical Methods; C14 - Semiparametric and Nonparametric Methods
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