Consistent Specification Testing via Nonparametric Series Regression

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Consistent Specification Testing via Nonparametric Series Regression

Author Info

Hong, Yongmiao
White, Halbert

Additional information is available for the following registered author(s):

Halbert White

Abstract

This paper proposes two consistent one-sided specification tests for parametric regression models, one based on the sample covariance between the residual from the parametric model and the discrepancy between the parametric and nonparametric fitted values; the other based on the difference in sums of squared residuals between the parametric and nonparametric models. The authors estimate the nonparametric model by series regression. The new test statistics converge in distribution to a unit normal under correct specification and grow to infinity faster than the parametric rate [square root of] n under misspecification, while avoiding weighting, sample splitting, and nonnested testing procedures used elsewhere. Copyright 1995 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 63 (1995)
Issue (Month): 5 (September)
Pages: 1133-59
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Handle: RePEc:ecm:emetrp:v:63:y:1995:i:5:p:1133-59

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Paper
- Yongmiao Hong & Halbert White, 1994. "Consistent Specification Testing via Nonparametric Series Regression," University of California at San Diego, Economics Working Paper Series 91-39r, Department of Economics, UC San Diego.

Cited by:
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Adonis Yatchew & Len Bos, 1997. "Nonparametric Least Squares Regression and Testing in Economic Models," Working Papers yatchew-99-01, University of Toronto, Department of Economics. [Downloadable!]
Jonathan B. Hill, 2004. "Consistent Model Specification Tests Against Smooth Transition Alternatives," Econometrics 0402004, EconWPA, revised 01 Mar 2004. [Downloadable!]
Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, 2006. "Nonparametric Tests for Treatment Effect Heterogeneity," NBER Technical Working Papers 0324, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Other versions:
- Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, . "Nonparametric Tests for Treatment Effect Heterogeneity," Working Papers 0609, University of Miami, Department of Economics. [Downloadable!]
- Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, 2006. "Nonparametric Tests for Treatment Effect Heterogeneity," IZA Discussion Papers 2091, Institute for the Study of Labor (IZA). [Downloadable!]
- Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, 2008. "Nonparametric Tests for Treatment Effect Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 389-405, 06. [Downloadable!] (restricted)
Manuel Vega-Gordillo & José Luis Álvarez-Arce, 2005. "Heterogeneity In Economic Freedom: Free Clusters Or Free Countries," Faculty Working Papers 08/05, School of Economics and Business Administration, University of Navarra. [Downloadable!]
Jonathan B. Hill, 2004. "Consistent LM-Tests for Linearity Against Compound Smooth Transition Alternatives," Econometric Society 2004 North American Summer Meetings 42, Econometric Society. [Downloadable!]
Glenn Ellison & Sara Fisher Ellison, 1998. "A Simple Framework for Nonparametric Specification Testing," NBER Technical Working Papers 0234, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Other versions:
- Ellison, G. & Ellison, F., 1993. "A Simple Framework for Non-Parametric Specification Testing," Harvard Institute of Economic Research Working Papers 1662, Harvard - Institute of Economic Research.
- Ellison, Glenn & Ellison, Sara Fisher, 2000. "A simple framework for nonparametric specification testing," Journal of Econometrics, Elsevier, vol. 96(1), pages 1-23, May. [Downloadable!] (restricted)
Aït-Sahalia, Yacine. & Bickel, Peter J. & Stoker, Thomas M., 1994. "Goodness-of-fit tests for regression using kernel methods," Working papers 3747-94., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
Horowitz, Joel L. & Spokoiny, Vladimir G., 1999. "An Adaptive, Rate-Optimal Test of a Parametric Model Against a Nonparametric Alternative," Working Papers 99-02, University of Iowa, Department of Economics. [Downloadable!]
Gao, Jiti & Hong, Yongmiao, 2007. "Central limit theorems for weighted quadratic forms of dependent processes with applications in specification testing," MPRA Paper 11977, University Library of Munich, Germany, revised Dec 2007. [Downloadable!]
Stanislav Anatolyev, 2009. "Inference in Regression Models with Many Regressors," Working Papers w0125, Center for Economic and Financial Research (CEFIR). [Downloadable!]
Cheng Hsiao & Qi Li & Jeff Racine, 2006. "A Consistent Model Specification Test with Mixed Discrete and Continuous Data," IEPR Working Papers 06.47, Institute of Economic Policy Research (IEPR). [Downloadable!]
Other versions:
- Hsiao, Cheng & Li, Qi & Racine, Jeffrey S., 2007. "A consistent model specification test with mixed discrete and continuous data," Journal of Econometrics, Elsevier, vol. 140(2), pages 802-826, October. [Downloadable!] (restricted)
Patrick Marsh, . "Nonparametric Likelihood Ratio Tests," Discussion Papers 00/56, Department of Economics, University of York. [Downloadable!]
Oliver Linton & Pedro Gozalo, 1996. "Conditional Independence Restrictions: Testing and Estimation," Cowles Foundation Discussion Papers 1140, Cowles Foundation, Yale University. [Downloadable!]
Juan Carlos Escanciano, 2004. "Model Checks Using Residual Marked Empirical Processes," Faculty Working Papers 13/04, School of Economics and Business Administration, University of Navarra. [Downloadable!]
Fernandes, Marcelo & Grammig, Joachim, 2003. "Nonparametric specification tests for conditional duration models," Economics Working Papers (Ensaios Economicos da EPGE) 502, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
Other versions:
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- Marcelo Fernandes & Joachim Grammig, 2000. "Non-Parametric Specification Tests For Conditional Duration Models," Computing in Economics and Finance 2000 40, Society for Computational Economics. [Downloadable!]
- Fernandes, Marcelo & Grammig, Joachim, 2005. "Nonparametric specification tests for conditional duration models," Journal of Econometrics, Elsevier, vol. 127(1), pages 35-68, July. [Downloadable!] (restricted)
Manuel A. Dominguez & Ignacio N. Lobato, 2001. "Size Corrected Power for Bootstrap Tests," Working Papers 0102, Centro de Investigacion Economica, ITAM. [Downloadable!]
Gao, Jiti & King, Maxwell, 2003. "Estimation and model specification testing in nonparametric and semiparametric econometric models," MPRA Paper 11989, University Library of Munich, Germany, revised Feb 2006. [Downloadable!]
Oliver Linton & Pedro Gozalo, 1995. "Testing Additivity in Generalized Nonparametric Regression Models," Cowles Foundation Discussion Papers 1106, Cowles Foundation, Yale University. [Downloadable!]
Sun, Y., 2003. "A Consistent Nonparametric Equality Test of Conditional Quantile Functions," Working Papers 2003-10, University of Guelph, Department of Economics. [Downloadable!]
Other versions:
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Yanqin Fan & Oliver Linton, 1997. "Some Higher Order Theory for a Consistent Nonparametric Model Specification Test," Cowles Foundation Discussion Papers 1148, Cowles Foundation, Yale University. [Downloadable!]

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