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A simple test for regression specification with non-nested alternatives

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  • Hagemann, Andreas
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    Abstract

    In this paper, I introduce a simple test for the presence of the data-generating process among several non-nested alternatives. The test is an extension of the classical J test for non-nested regression models. I also provide a bootstrap version of the test that avoids possible size distortions inherited from the J test.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304407611002181
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Econometrics.

    Volume (Year): 166 (2012)
    Issue (Month): 2 ()
    Pages: 247-254

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    Handle: RePEc:eee:econom:v:166:y:2012:i:2:p:247-254

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    Web page: http://www.elsevier.com/locate/jeconom

    Related research

    Keywords: Non-nested testing; Multiple testing; Bootstrap; Finite-sample size;

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    References

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    1. Michelis, Leo, 1999. "The distributions of the J and Cox non-nested tests in regression models with weakly correlated regressors," Journal of Econometrics, Elsevier, vol. 93(2), pages 369-401, December.
    2. Russell Davidson & James G. MacKinnon, 1985. "Heteroskedasticity-Robust Tests in Regression Directions," Working Papers 616, Queen's University, Department of Economics.
    3. Godfrey, L. G., 1998. "Tests of non-nested regression models some results on small sample behaviour and the bootstrap," Journal of Econometrics, Elsevier, vol. 84(1), pages 59-74, May.
    4. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-93, May.
    5. Granger, Clive W. J. & King, Maxwell L. & White, Halbert, 1995. "Comments on testing economic theories and the use of model selection criteria," Journal of Econometrics, Elsevier, vol. 67(1), pages 173-187, May.
    6. Choi, Hwan-Sik & Kiefer, Nicholas M., 2008. "Robust Nonnested Testing and the Demand for Money," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 9-17, January.
    7. Fisher, Gordon R. & McAleer, Michael, 1981. "Alternative procedures and associated tests of significance for non-nested hypotheses," Journal of Econometrics, Elsevier, vol. 16(1), pages 103-119, May.
    8. Davidson, R. & Mackinnon, J.G., 1997. "Bootstrap Tests of Nonnested Linear Regression Models," ASSET - Instituto De Economia Publica 170, ASSET (Association of Southern European Economic Theorists).
    9. Godfrey, L. G. & Pesaran, M. H., 1983. "Tests of non-nested regression models: Small sample adjustments and Monte Carlo evidence," Journal of Econometrics, Elsevier, vol. 21(1), pages 133-154, January.
    10. Fisher, Gordon & McAleer, Michael, 1979. "On the interpretation of the cox test in econometrics," Economics Letters, Elsevier, vol. 4(2), pages 145-150.
    11. Dastoor, Naorayex K., 1981. "A note on the interpretation of the Cox procedure for non-nested hypotheses," Economics Letters, Elsevier, vol. 8(2), pages 113-119.
    12. Yanqin Fan & Qi Li, 1995. "Bootstrapping J-type tests for non-nested regression models," Economics Letters, Elsevier, vol. 48(2), pages 107-112, May.
    13. repec:hal:cesptp:halshs-00175897 is not listed on IDEAS
    14. Davidson, James & Monticini, Andrea & Peel, David, 2007. "Implementing the wild bootstrap using a two-point distribution," Economics Letters, Elsevier, vol. 96(3), pages 309-315, September.
    15. repec:cup:cbooks:9780521496032 is not listed on IDEAS
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