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Bootstrap Tests of Nonnested Linear Regression Models

  • Davidson, R.
  • Mackinnon, J.G.

The J test for nonnested regression models often works badly as an asypmtotic test, but it generally works very well when bootstrapped. We provide a theroretical analysis of the J test which explains both of these phenomena. We also propose a modified version of the test which works even better than the ordinary J test when bootstrapped. Using our theoretical results to make simulation much faster, we obtain extremely accurate Monte Carlo results which demonstrate just how well the bootstraped tests perform.

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Paper provided by ASSET (Association of Southern European Economic Theorists) in its series ASSET - Instituto De Economia Publica with number 170.

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Length: 24 pages
Date of creation: 1997
Date of revision:
Handle: RePEc:fth:inecpu:170
Contact details of provider: Postal: ASSET - Instituto De Economia Publica Facultad de Ciencias Economicas Y Empresariales . Avenida Lehendakari Aguirre, 83. 48015 Bilbao. Spain
Phone: + 33 - 4 91 14 07 70
Fax: + 33 - 4 91 90 02 27
Web page: http://www.vcharite.univ-mrs.fr/ASSET/
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  1. Davidson, Russell & MacKinnon, James G, 1982. "Some Non-Nested Hypothesis Tests and the Relations among Them," Review of Economic Studies, Wiley Blackwell, vol. 49(4), pages 551-65, October.
  2. Davidson, R. & Mackinnon, J.G., 1996. "The Size and Power of Bootstrap Tests," G.R.E.Q.A.M. 96a03, Universite Aix-Marseille III.
  3. 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.
  4. Pesaran, M H, 1974. "On the General Problem of Model Selection," Review of Economic Studies, Wiley Blackwell, vol. 41(2), pages 153-71, April.
  5. 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.
  6. Davidson, Russell & MacKinnon, James G, 1998. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," The Manchester School of Economic & Social Studies, University of Manchester, vol. 66(1), pages 1-26, January.
  7. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
  8. 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.
  9. Russell Davidson & James G. MacKinnon, 1980. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Working Papers 378, Queen's University, Department of Economics.
  10. Godfrey, Leslie G, 1983. "Testing Non-Nested Models after Estimation by Instrumental Variables or Least Squares," Econometrica, Econometric Society, vol. 51(2), pages 355-65, March.
  11. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(03), pages 361-376, June.
  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. 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.
  14. McAleer, Michael, 1995. "The significance of testing empirical non-nested models," Journal of Econometrics, Elsevier, vol. 67(1), pages 149-171, May.
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