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Bootstrap J tests of nonnested linear regression models

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  • Davidson, Russell
  • MacKinnon, James G.

Abstract

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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 109 (2002)
Issue (Month): 1 (July)
Pages: 167-193

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Handle: RePEc:eee:econom:v:109:y:2002:i:1:p:167-193

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

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References

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  1. 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.
  2. McAleer, Michael, 1995. "The significance of testing empirical non-nested models," Journal of Econometrics, Elsevier, vol. 67(1), pages 149-171, May.
  3. 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.
  4. Davidson, R. & Mackinnon, J.G., 1996. "The Size Distorsion of Bootstrap Tests," G.R.E.Q.A.M. 96a15, Universite Aix-Marseille III.
  5. Pesaran, M H, 1974. "On the General Problem of Model Selection," Review of Economic Studies, Wiley Blackwell, vol. 41(2), pages 153-71, April.
  6. 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.
  7. 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.
  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. 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.
  10. 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.
  11. Mackinnon, J-G, 1997. "The Size and Power of Bootstrap Tests," ASSET - Instituto De Economia Publica 153, ASSET (Association of Southern European Economic Theorists).
  12. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
  13. Yanqin Fan & Qi Li, 1995. "Bootstrapping J-type tests for non-nested regression models," Economics Letters, Elsevier, vol. 48(2), pages 107-112, May.
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Citations

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Cited by:
  1. Russell Davidson & James G. MacKinnon, 2006. "Improving the Reliability of Bootstrap Tests with the Fast Double Bootstrap," Working Papers 1044, Queen's University, Department of Economics.
  2. Richard Luger, 2004. "Exact Permutation Tests for Non-nested Non-linear Regression Models," Emory Economics 0419, Department of Economics, Emory University (Atlanta).
  3. Yang, Ji-Chung, 2005. "Impact measurement for public investment evaluation: An application to Korea," Journal of Policy Modeling, Elsevier, vol. 27(5), pages 535-551, July.
  4. Jeffrey S. Racine & Christopher F. Parmeter, 2012. "Data-Driven Model Evaluation: A Test for Revealed Performance," Department of Economics Working Papers 2012-13, McMaster University.
  5. Rachida Ouysse, 2011. "Computationally efficient approximation for the double bootstrap mean bias correction," Economics Bulletin, AccessEcon, vol. 31(3), pages 2388-2403.
  6. BHATTI, M.Ishaq & BODLA, Mahmud, A., 2008. "Empirical Power Comparison Of Non-Nested Tests For The Evm: Some Monte Carlo Evidence," International Journal of Applied Econometrics and Quantitative Studies, Euro-American Association of Economic Development, vol. 5(2).
  7. Hagemann, Andreas, 2012. "A simple test for regression specification with non-nested alternatives," Journal of Econometrics, Elsevier, vol. 166(2), pages 247-254.
  8. Russell Davidson & James MacKinnon, 2002. "Fast Double Bootstrap Tests Of Nonnested Linear Regression Models," Econometric Reviews, Taylor & Francis Journals, vol. 21(4), pages 419-429.
  9. Burridge, Peter & Robert Taylor, A. M., 2004. "Bootstrapping the HEGY seasonal unit root tests," Journal of Econometrics, Elsevier, vol. 123(1), pages 67-87, November.
  10. Hsin-Yi Lin, 2011. "A robust test for non-nested hypotheses," AStA Advances in Statistical Analysis, Springer, vol. 95(1), pages 93-111, March.
  11. Jin, Fei & Lee, Lung-fei, 2013. "Cox-type tests for competing spatial autoregressive models with spatial autoregressive disturbances," Regional Science and Urban Economics, Elsevier, vol. 43(4), pages 590-616.
  12. Rao, Surekha & Ghali, Moheb & Krieg, John, 2008. "On the J-test for nonnested hypotheses and Bayesian extension," MPRA Paper 14637, University Library of Munich, Germany.
  13. James G. MacKinnon, 2006. "Applications of the Fast Double Bootstrap," Working Papers 1023, Queen's University, Department of Economics.
  14. Han, Xiaoyi & Lee, Lung-fei, 2013. "Model selection using J-test for the spatial autoregressive model vs. the matrix exponential spatial model," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 250-271.

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