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Simulation-Based Finite and Large Sample Tests in Multivariate Regressions

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Author Info
Dufour, J.M.
Khalaf, L.

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Abstract

In the context of multivariate linear regression (MLR) models, it is well known that commonly employed asymptotic test criteria are seriously biased towards overrejection. In this paper, we propose a general method for constructing exact tests of possibly nonlinear hypotheses on the coefficients of MLR systems.

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Publisher Info
Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 2000-10.

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Length: 24 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:mtl:montec:2000-10

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Related research
Keywords: LINEAR MODEL ; REGRESSION ANALYSIS ; TESTS;

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Find related papers by JEL classification:
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C42 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Survey Methods

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  1. Dufour, Jean-Marie & Kiviet, Jan F., 1996. "Exact tests for structural change in first-order dynamic models," Journal of Econometrics, Elsevier, vol. 70(1), pages 39-68, January. [Downloadable!] (restricted)
  2. Kiviet, Jan F. & Dufour, Jean-Marie, 1997. "Exact tests in single equation autoregressive distributed lag models," Journal of Econometrics, Elsevier, vol. 80(2), pages 325-353, October. [Downloadable!] (restricted)
    Other versions:
  3. Laitinen, Kenneth, 1978. "Why is demand homogeneity so often rejected?," Economics Letters, Elsevier, vol. 1(3), pages 187-191. [Downloadable!] (restricted)
  4. Dufour, Jean-Marie, 1989. "Nonlinear Hypotheses, Inequality Restrictions, and Non-nested Hypotheses: Exact Simultaneous Tests in Linear Regressions," Econometrica, Econometric Society, vol. 57(2), pages 335-55, March. [Downloadable!] (restricted)
  5. Evans, G B A & Savin, N E, 1982. "Conflict among the Criteria Revisited: The W, LR and LM Tests," Econometrica, Econometric Society, vol. 50(3), pages 737-48, May. [Downloadable!] (restricted)
  6. Amsler, Christine E. & Schmidt, Peter, 1985. "A Monte Carlo investigation of the accuracy of multivariate CAPM tests," Journal of Financial Economics, Elsevier, vol. 14(3), pages 359-375, September. [Downloadable!] (restricted)
  7. Jayatissa, W A, 1977. "Tests of Equality between Sets of Coefficients in Two Linear Regressions when Disturbance Variances Are Unequal," Econometrica, Econometric Society, vol. 45(5), pages 1291-92, July. [Downloadable!] (restricted)
  8. Stewart, Kenneth G., 1995. "The functional equivalence of the W, LR, and LM statistics," Economics Letters, Elsevier, vol. 49(2), pages 109-112, August. [Downloadable!] (restricted)
  9. Hashimoto, Noriko & Ohtani, Kazuhiro, 1990. "An exact test for linear restrictions in seemingly unrelated regressions with the same regressors," Economics Letters, Elsevier, vol. 32(3), pages 243-246, March. [Downloadable!] (restricted)
  10. Jean-Marie Dufour & Lynda Khalaf, 1999. "Simulation Based Finite- and Large-Sample Inference Methods in Simultaneous Equations," Computing in Economics and Finance 1999 824, Society for Computational Economics.
  11. Italianer, Alexander, 1985. "A small-sample correction for the likelihood ratio test," Economics Letters, Elsevier, vol. 19(4), pages 315-317. [Downloadable!] (restricted)
  12. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(03), pages 361-376, June. [Downloadable!]
    Other versions:
  13. Jean-Marie Dufour & Abdeljelil Farhat & Lucien Gardiol & Lynda Khalaf, 1998. "Simulation-based finite sample normality tests in linear regressions," Econometrics Journal, Royal Economic Society, vol. 1(Conferenc), pages C154-C173.
    Other versions:
  14. Cribari-Neto, Francisco & Zarkos, Spyros G, 1997. "Finite-Sample Adjustments for Homogeneity and Symmetry Tests in Systems of Demand Equations: A Monte Carlo Evaluation," Computational Economics, Springer, vol. 10(4), pages 337-51, November. [Downloadable!]
  15. Breusch, Trevor S., 1980. "Useful invariance results for generalized regression models," Journal of Econometrics, Elsevier, vol. 13(3), pages 327-340, August. [Downloadable!] (restricted)
  16. Jean-Marie Dufour & Jan F. Kiviet, 1998. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Econometrica, Econometric Society, vol. 66(1), pages 79-104, January.
    Other versions:
  17. DUFOUR, Jean-Marie & KHALAF, Lynda, 1998. "Simulation-Based Finite-and Large-sample Inference Methods in Multivariate Regressions and Seemingly Unrelated Regressions," Cahiers de recherche 9813, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  18. Davidson, R. & Mackinnon, J.G., 1997. "Bootstrap Testing in Nonlinear Models," G.R.E.Q.A.M. 97a39, Universite Aix-Marseille III.
    Other versions:
  19. Theil, Henri & Shonkwiler, J. S. & Taylor, Timothy G., 1985. "A Monte Carlo test of Slutsky symmetry," Economics Letters, Elsevier, vol. 19(4), pages 331-332. [Downloadable!] (restricted)
  20. Russell Davidson & James G. MacKinnon, 2001. "Bootstrap Tests: How Many Bootstraps?," Working Papers 1036, Queen's University, Department of Economics. [Downloadable!]
    Other versions:
  21. Eakin, B Kelly & McMillen, Daniel P & Buono, Mark J, 1990. "Constructing Confidence Intervals Using the Bootstrap: An Application to a Multi-Product Cost Function," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 339-44, May. [Downloadable!] (restricted)
  22. Meisner, James F., 1979. "The sad fate of the asymptotic Slutsky symmetry test for large systems," Economics Letters, Elsevier, vol. 2(3), pages 231-233. [Downloadable!] (restricted)
  23. Breusch, T S, 1979. "Conflict among Criteria for Testing Hypotheses: Extensions and Comments," Econometrica, Econometric Society, vol. 47(1), pages 203-07, January. [Downloadable!] (restricted)
  24. Rayner, Robert K., 1990. "Bartlett's correction and the bootstrap in normal linear regression models," Economics Letters, Elsevier, vol. 33(3), pages 255-258, July. [Downloadable!] (restricted)
  25. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
  26. Affleck-Graves, John & McDonald, Bill, 1990. "Multivariate Tests of Asset Pricing: The Comparative Power of Alternative Statistics," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(02), pages 163-185, June. [Downloadable!]
  27. Taylor, Timothy G. & Shonkwiler, J. S. & Theil, Henri, 1986. "Monte Carlo and bootstrap testing of demand homogeneity," Economics Letters, Elsevier, vol. 20(1), pages 55-57. [Downloadable!] (restricted)
  28. Rothernberg, Thomas J, 1984. "Hypothesis Testing in Linear Models When the Error Covariance Matrix Is Nonscalar," Econometrica, Econometric Society, vol. 52(4), pages 827-42, July. [Downloadable!] (restricted)
  29. Jobson, J. D. & Korkie, Bob, 1982. "Potential performance and tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 10(4), pages 433-466, December. [Downloadable!] (restricted)
  30. Shanken, Jay, 1986. " Testing Portfolio Efficiency When the Zero-Beta Rate Is Unknown: A Note," Journal of Finance, American Finance Association, vol. 41(1), pages 269-76, March. [Downloadable!] (restricted)
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