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On the Use of Artificial Regressions in Certain Microeconometric Models

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  • Orme, Chris

Abstract

Conditional moment tests check to see whether or not population moment equalities, implied by the null model specification, hold approximately in the sample. Asymptotically valid conditional statistics can easily be calculated from the output of a so-called outer product of the gradient (OPG) artificial regression. However, several studies have now found that this OPG variant exhibits extremely poor finite sample behavior and that significant improvements can be made by employing the efficient variant. In the light of such evidence, this paper develops new artificial regressions that can be used to calculate the efficient variant of the test statistic. These artificial regressions can also serve several other purposes, including the construction of Hausmantype tests of parameter estimator consistency.

Suggested Citation

  • Orme, Chris, 1995. "On the Use of Artificial Regressions in Certain Microeconometric Models," Econometric Theory, Cambridge University Press, vol. 11(2), pages 290-305, February.
    • Handle: RePEc:cup:etheor:v:11:y:1995:i:02:p:290-305_00
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    Cited by:

    1. Davidson, R. & MacKinnon & J.G., 1999. "Artificial Regressions," G.R.E.Q.A.M. 99a04, Universite Aix-Marseille III.
    2. Hoetker, Glenn, 2004. "Confounded Coefficients: Accurately Comparing Logit and Probit Coefficients across Groups," Working Papers 03-0100, University of Illinois at Urbana-Champaign, College of Business.
    3. Davidson, Russell & MacKinnon, James G, 1999. "Bootstrap Testing in Nonlinear Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 487-508, May.
    4. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    5. A. Morone & P. Morone, 2014. "Estimating individual and group preference functionals using experimental data," Theory and Decision, Springer, vol. 77(3), pages 403-422, October.
    6. Morone, Andrea & Morone, Piergiuseppe, 2012. "Are small groups expected utility?," MPRA Paper 38198, University Library of Munich, Germany.
    7. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    8. Skeels, Christopher L. & Vella, Francis, 1999. "A Monte Carlo investigation of the sampling behavior of conditional moment tests in Tobit and Probit models," Journal of Econometrics, Elsevier, vol. 92(2), pages 275-294, October.

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