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A Hausman Specification Test of Conditional Moment Restrictions

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  • Lavergne, Pascal
  • Nguimkeu, Pierre

Abstract

This paper addresses the issue of detecting misspecified conditional moment restrictions (CMR). We propose a new Hausman-type test based on the comparison of an efficient estimator with an ineficient one, both derived by semiparametrically estimating the CMR using different bandwidths. The proposed test statistic is asymptotically chi-squared distributed under correct specification. We propose a general bootstrap procedure for computing critical values in small samples. The testing procedures are easy to implement and simulation results show that they perform well in small samples. An empirical application to a model of female formal labor force participation and wage determination in urban Ghana is provided.

Suggested Citation

  • Lavergne, Pascal & Nguimkeu, Pierre, 2016. "A Hausman Specification Test of Conditional Moment Restrictions," TSE Working Papers 16-743, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:31275
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    References listed on IDEAS

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    2. Pascal Lavergne & Valentin Patilea, 2008. "Smooth Minimum Distance Estimation and Testing in Conditional Moment Restrictions Models: Uniform in Bandwidth Theory," Discussion Papers dp08-08, Department of Economics, Simon Fraser University.
    3. Chen, Xiaohong & Pouzo, Demian, 2009. "Efficient estimation of semiparametric conditional moment models with possibly nonsmooth residuals," Journal of Econometrics, Elsevier, vol. 152(1), pages 46-60, September.
    4. Yuichi Kitamura & Gautam Tripathi & Hyungtaik Ahn, 2004. "Empirical Likelihood-Based Inference in Conditional Moment Restriction Models," Econometrica, Econometric Society, vol. 72(6), pages 1667-1714, November.
    5. Miguel A. Delgado & Manuel A. Dominguez & Pascal Lavergne, 2006. "Consistent Tests of Conditional Moment Restrictions," Annals of Economics and Statistics, GENES, issue 81, pages 33-67.
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    Cited by:

    1. Krikamol Muandet & Wittawat Jitkrittum & Jonas Kubler, 2020. "Kernel Conditional Moment Test via Maximum Moment Restriction," Papers 2002.09225, arXiv.org, revised Jun 2020.
    2. Nguimkeu, Pierre, 2014. "A structural econometric analysis of the informal sector heterogeneity," Journal of Development Economics, Elsevier, vol. 107(C), pages 175-191.

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    More about this item

    Keywords

    Conditional Moment Restrictions; Hypothesis Testing; Smoothing Methods; Bootstrap;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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