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Bootstrap Tests of Nonnested Linear Regression Models

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Author Info

  • Davidson, R.
  • Mackinnon, J.G.

Abstract

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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Bibliographic Info

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

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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
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Web page: http://www.vcharite.univ-mrs.fr/ASSET/
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Keywords: TESTS ; ECONOMETRICS;

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References

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  1. Davidson, R. & Mackinnon, J.G., 1996. "The Size Distorsion of Bootstrap Tests," G.R.E.Q.A.M. 96a15, Universite Aix-Marseille III.
  2. 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.
  3. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
  4. McAleer, Michael, 1995. "The significance of testing empirical non-nested models," Journal of Econometrics, Elsevier, vol. 67(1), pages 149-171, May.
  5. Yanqin Fan & Qi Li, 1995. "Bootstrapping J-type tests for non-nested regression models," Economics Letters, Elsevier, vol. 48(2), pages 107-112, May.
  6. 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.
  7. 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.
  8. Pesaran, M H, 1974. "On the General Problem of Model Selection," Review of Economic Studies, Wiley Blackwell, vol. 41(2), pages 153-71, April.
  9. 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.
  10. Russell Davidson & James G. MacKinnon, 1994. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," Working Papers 903, Queen's University, Department of Economics.
  11. 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.
  12. Gordon Fisher & Michael McAleer, 1981. "Alternative Procedures and Associated Tests of Significance for Non-Nested Hypotheses," Working Papers 420, Queen's University, Department of Economics.
  13. Davidson, R. & Mackinnon, J.G., 1996. "The Size and Power of Bootstrap Tests," G.R.E.Q.A.M. 96a03, Universite Aix-Marseille III.
  14. 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.
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Citations

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Cited by:
  1. Russell Davidson & James Mackinnon, 2006. "Improving the reliability of bootstrap tests with the fast double bootstrap," Working Papers halshs-00439247, HAL.
  2. Hsin-Yi Lin, 2011. "A robust test for non-nested hypotheses," AStA Advances in Statistical Analysis, Springer, vol. 95(1), pages 93-111, March.
  3. 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.
  4. 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.
  5. 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).
  6. James G. MacKinnon, 2006. "Applications of the Fast Double Bootstrap," Working Papers 1023, Queen's University, Department of Economics.
  7. 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.
  8. 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.
  9. Hagemann, Andreas, 2012. "A simple test for regression specification with non-nested alternatives," Journal of Econometrics, Elsevier, vol. 166(2), pages 247-254.
  10. Rachida Ouysse, 2011. "Computationally efficient approximation for the double bootstrap mean bias correction," Economics Bulletin, AccessEcon, vol. 31(3), pages 2388-2403.
  11. Richard Luger, 2004. "Exact Permutation Tests for Non-nested Non-linear Regression Models," Emory Economics 0419, Department of Economics, Emory University (Atlanta).
  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. 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.
  14. 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.

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