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Preliminary Tests of Homogeneity - Type I Error Rates under Non-Normality

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  • Tanweer Ul Islam

    (Department of Economics, National University of Sciences and Technology (NUST), Pakistan)

Abstract

Many statistical procedures utilize preliminary tests to enhance the accuracy of the final inferences. Preliminary tests like Goldfeld-Quandt (GQ) and Levene-type tests are used to assess the assumption of equality of population variances with normality as the underlying distributional assumption. Such tests must be used with care as the final inferences are conditional on the performance of these tests at first stage. This study explores the size distortions of GQ and Levene-type tests under non-normality. The results do not warrant the use of GQ & Levene test under non-normality as the size distortions are as high as 88 & 48% for the respective statistics. However, the modified form of Levene test (BF-test) retains its size properties except for the multi-model alternatives with relatively big outliers.

Suggested Citation

  • Tanweer Ul Islam, 2018. "Preliminary Tests of Homogeneity - Type I Error Rates under Non-Normality," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(5), pages 144-150, May.
    • Handle: RePEc:adp:jbboaj:v:6:y:2018:i:5:p:144-150
    DOI: 10.19080/BBOAJ.2018.06.555699
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    References listed on IDEAS

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    1. Thorsten Thadewald & Herbert Buning, 2007. "Jarque-Bera Test and its Competitors for Testing Normality - A Power Comparison," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(1), pages 87-105.
    2. Maria do Rosario Correia & Reinhard Neck & Theodore Panagiotidis & Christian Richter, 2008. "An empirical investigation of the sustainability of the public deficit in Portugal," International Economics and Economic Policy, Springer, vol. 5(1), pages 209-223, July.
    3. Zhang, Jin & Wu, Yuehua, 2005. "Likelihood-ratio tests for normality," Computational Statistics & Data Analysis, Elsevier, vol. 49(3), pages 709-721, June.
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