Abstract
This paper proposes a simple specification test for quantile regression models. Our test is based on Ramsey’s (J. R. Stat. Soc. B 31:350–371, 1969) RESET (regression specification error test). Comparing to existing nonparametric specification tests, the proposed test does not contain kernel functions and bandwidth parameters and is easy to implement. Although the proposed test is not necessarily consistent against all types of misspecification, simulation results indicate that our test has reasonable size and power properties and can be more powerful than nonparametric specification tests in small samples.
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References
Angrist J, Chernozhukov V, Fernández-Val I (2006) Quantile regression under misspecification, with an application to the US wage structure. Econometrica 74:539–563
Bierens HJ, Ginther DK (2001) Integrated conditional moment testing of quadratic regression models. Empir Econ 26:307–324
Ihaka R, Gentleman R (1996) R: A language for data analysis and graphics. J Comput Graph Stat 5:299–314
Kim T-H, White H (2002) Estimation, inference, and specification testing for possibly misspecified quantile regression. Working paper
Koenker R (2005) Quantile regression. Cambridge University Press, Cambridge
Koenker R, Bassett G (1978) Regression quantiles. Econometrica 46:33–50
Newey WK, McFadden DL (1994) Large sample estimation and hypothesis testing. In: Engle RF, McFadden DL (eds) Handbook of econometrics, vol IV. Elsevier, Amsterdam, pp 2213–2245
Parzen MI, Wei L, Ying Z (1994) A resampling method based on pivotal estimating functions. Biometrika 81:341–350
Ramsey JB (1969) Tests for specification errors in classical linear least-squares regression analysis. J R Stat Soc B 31:350–371
Ramsey JB, Schmidt P (1976) Some further results on the use of OLS and BLUS residuals in specification error tests. J Am Stat Assoc 71:389–390
Zheng JX (1998) A consistent nonparametric test of parametric regression models under conditioning quantile restrictions. Econom Theory 14:123–138
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Otsu, T. RESET for quantile regression. TEST 18, 381–391 (2009). https://doi.org/10.1007/s11749-008-0097-7
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DOI: https://doi.org/10.1007/s11749-008-0097-7