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Heteroskedastcity-robust tests in regressions directions

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  • DAVIDSON, Russel
  • MACKINNON, James G.

Abstract

We develop simple procedures to test for omitted variables and perform other tests in regression directions, which are asymptotically valid in the presence of heteroskedasticity of unknown form. We examine the asymptotic behaviour of these tests, and use Edgeworth approximations to study their approximate finite-sample performance. We also present results from several Monte Carlo experiments, which suggest that one family of these tests should always be used in preference to the other.
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Suggested Citation

  • DAVIDSON, Russel & MACKINNON, James G., 1985. "Heteroskedastcity-robust tests in regressions directions," LIDAM Reprints CORE 678, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:678
    Note: In : Annales de l'INSEE, 59-60, 183-218, 1985
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    References listed on IDEAS

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    1. Engle, Robert F., 1982. "A general approach to lagrange multiplier model diagnostics," Journal of Econometrics, Elsevier, vol. 20(1), pages 83-104, October.
    2. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    3. Russell Davidson & James G. Mackinnon, 1982. "Some Non-Nested Hypothesis Tests and the Relations Among Them," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 551-565.
    4. MacKinnon, James G. & White, Halbert, 1985. "Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties," Journal of Econometrics, Elsevier, vol. 29(3), pages 305-325, September.
    5. Russell W. Davidson & James G. MacKinnon, 1985. "The Interpretation of Test Statistics," Canadian Journal of Economics, Canadian Economics Association, vol. 18(1), pages 38-57, February.
    6. Rothenberg, Thomas J., 1984. "Approximate Power Functions for Some Robust Tests of Regression Coefficients," Department of Economics, Working Paper Series qt6cg9w3k7, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    7. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-421, May.
    8. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    9. Messer, Karen & White, Halbert, 1984. "A Note on Computing the Heteroskedasticity Consistent Covariance Matrix Using Instrumental Variable Techniques," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 46(2), pages 181-184, May.
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