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Using OLS to test for normality

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  • Shalit, Haim

Abstract

The OLS estimator is a weighted average of the slopes delineated by adjacent observations. These weights depend only on the independent variable. Equal weights are obtained if and only if the independent variable is normally distributed. This feature is used to develop a new test for normality which is compared to standard tests and provides better power for testing normality.

Suggested Citation

  • Shalit, Haim, 2012. "Using OLS to test for normality," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 2050-2058.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:2050-2058
    DOI: 10.1016/j.spl.2012.07.004
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    References listed on IDEAS

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    1. Bontemps, Christian & Meddahi, Nour, 2005. "Testing normality: a GMM approach," Journal of Econometrics, Elsevier, vol. 124(1), pages 149-186, January.
    2. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
    3. Shalit, Haim & Yitzhaki, Shlomo, 2002. "Estimating Beta," Review of Quantitative Finance and Accounting, Springer, vol. 18(2), pages 95-118, March.
    4. Gel, Yulia R. & Gastwirth, Joseph L., 2008. "A robust modification of the Jarque-Bera test of normality," Economics Letters, Elsevier, vol. 99(1), pages 30-32, April.
    5. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    6. Deb, Partha & Sefton, Martin, 1996. "The distribution of a Lagrange multiplier test of normality," Economics Letters, Elsevier, vol. 51(2), pages 123-130, May.
    7. Poitras, Geoffrey, 2006. "More on the correct use of omnibus tests for normality," Economics Letters, Elsevier, vol. 90(3), pages 304-309, March.
    8. Yitzhaki, Shlomo, 1996. "On Using Linear Regressions in Welfare Economics," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 478-486, October.
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    Cited by:

    1. Haim Shalit, 2017. "The Shapley Value Decomposition Of Optimal Portfolios," Working Papers 1701, Ben-Gurion University of the Negev, Department of Economics.
    2. Haim Shalit, 2014. "Measuring Risk In Israeli Mutual Funds: Conditional Value-At-Risk Vs. Aumann-Serrano Riskiness Index," Working Papers 1409, Ben-Gurion University of the Negev, Department of Economics.

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