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Bootstrap Tests of Nonnested Linear Regression Models

  • Davidson, R.
  • Mackinnon, J. G.

Le test J applique aux modeles de regression non emboites a souvent des performances qui sont mauvaises pour la version asymptotique du test, mais tres bonnes pour la forme bootstrap. On donne une analyse theorique qui explique les deux phenomenes. On propose une version modifiee du test qui, dans sa version bootstrap, s'avere encore plus performante que le test J. Les excellentes performances des tests bootstrap sont demontrees par des experiences Monte Carlo, qui sont d'une tres grande precision grace a nos resultats theoriques, qui permettent de reduire le temps de calcul de maniere importante.

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Paper provided by Universite Aix-Marseille III in its series G.R.E.Q.A.M. with number 97a25.

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Length: 24 pages
Date of creation: 1995
Date of revision:
Handle: RePEc:fth:aixmeq:97a25
Contact details of provider: Postal: G.R.E.Q.A.M., (GROUPE DE RECHERCHE EN ECONOMIE QUANTITATIVE D'AIX MARSEILLE), CENTRE DE VIEILLE CHARITE, 2 RUE DE LA CHARITE, 13002 MARSEILLE.
Phone: 04.91.14.07.70
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Web page: http://www.greqam.fr/
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  1. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
  2. 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.
  3. Yanqin Fan & Qi Li, 1995. "Bootstrapping J-type tests for non-nested regression models," Economics Letters, Elsevier, vol. 48(2), pages 107-112, May.
  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. Mackinnon, J-G, 1997. "The Size and Power of Bootstrap Tests," ASSET - Instituto De Economia Publica 153, ASSET (Association of Southern European Economic Theorists).
  6. Davidson, R. & Mackinnon, J.G., 1996. "The Size Distorsion of Bootstrap Tests," G.R.E.Q.A.M. 96a15, Universite Aix-Marseille III.
  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. 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.
  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. 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, 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.
  12. 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.
  13. 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.
  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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