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On the Behavior of Conditional Moment Tests in the Presence of Unconsidered Local Alternatives

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  • Godfrey, Leslie G
  • Orme, Chris D

Abstract

This paper employs asymptotic local analysis in order to examine the sensitivity of individual conditional moment tests to sources of misspecification for which they were not specifically designed. In the context of maximum likelihood estimation, the authors find an exact equivalence between the conditions for asymptotic insensitivity of tests and their asymptotic independence. This equivalence does not hold for models estimated by extremum methods. Examples are given to illustrate the general results. Copyright 1996 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Godfrey, Leslie G & Orme, Chris D, 1996. "On the Behavior of Conditional Moment Tests in the Presence of Unconsidered Local Alternatives," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 263-281, May.
    • Handle: RePEc:ier:iecrev:v:37:y:1996:i:2:p:263-81
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. White,Halbert, 1996. "Estimation, Inference and Specification Analysis," Cambridge Books, Cambridge University Press, number 9780521574464.
    3. Godfrey, L G & Orme, C D, 1994. "The Sensitivity of Some General Checks to Omitted Variables in the Linear Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 489-506, May.
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    5. Lancaster, Tony, 1985. "Generalised residuals and heterogeneous duration models : With applications to the Weilbull model," Journal of Econometrics, Elsevier, vol. 28(1), pages 155-169, April.
    6. Bera, Anil K. & Yoon, Mann J., 1993. "Specification Testing with Locally Misspecified Alternatives," Econometric Theory, Cambridge University Press, vol. 9(4), pages 649-658, August.
    7. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    8. Kiefer, Nicholas M & Skoog, Gary R, 1984. "Local Asymptotic Specification Error Analysis," Econometrica, Econometric Society, vol. 52(4), pages 873-885, July.
    9. Kiefer, Nicholas M. & Salmon, Mark, 1983. "Testing normality in econometric models," Economics Letters, Elsevier, vol. 11(1-2), pages 123-127.
    10. Bera, Anil K. & Jarque, Carlos M., 1982. "Model specification tests : A simultaneous approach," Journal of Econometrics, Elsevier, vol. 20(1), pages 59-82, October.
    11. Ruud, Paul A., 1984. "Tests of Specification in Econometrics," Department of Economics, Working Paper Series qt4kq8m0hf, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    12. Saikkonen, Pentti, 1989. "Asymptotic relative efficiency of the classical test statistics under misspecification," Journal of Econometrics, Elsevier, vol. 42(3), pages 351-369, November.
    13. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-1070, September.
    14. Thursby, Jerry G, 1989. "A Comparison of Several Specification Error Tests for a General Alternative," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(1), pages 217-230, February.
    15. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    16. Adrian R Pagan & Anthony D Hall, 1983. "Diagnostic tests as residual analysis," Published Paper Series 1983-1, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    17. Jaggia, Sanjiv, 1991. "Specification Tests Based on the Heterogeneous Generalized Gamma Model of Duration: With an Application to Kennan's Strike Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 169-180, April-Jun.
    18. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
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    Cited by:

    1. Daniel Heymann & Gabriel Montes-Rojas, 2018. "On model-consistent expectations in macroeconomics," Económica, Instituto de Investigaciones Económicas, Facultad de Ciencias Económicas, Universidad Nacional de La Plata, vol. 64, pages 22-45, January-D.
    2. L. G. Godfrey & M. R. Veal, 2000. "Alternative approaches to testing by variable addition," Econometric Reviews, Taylor & Francis Journals, vol. 19(2), pages 241-261.
    3. E. Fe-Rodríguez & C. Orme, 2006. "On the sensitivity of Kernel-based Conditional Moment Tests to Unconsidered Local Alternatives," Economics Discussion Paper Series 0606, Economics, The University of Manchester.
    4. Halunga, Andreea G. & Orme, Chris D., 2009. "First-Order Asymptotic Theory For Parametric Misspecification Tests Of Garch Models," Econometric Theory, Cambridge University Press, vol. 25(2), pages 364-410, April.
    5. Yamagata, Takashi, 2008. "A joint serial correlation test for linear panel data models," Journal of Econometrics, Elsevier, vol. 146(1), pages 135-145, September.

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