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Preliminary tests of homogeneity- type I error rates under non-normality

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  • Islam, Tanweer

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

  • Islam, Tanweer, 2016. "Preliminary tests of homogeneity- type I error rates under non-normality," MPRA Paper 84108, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:84108
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    References listed on IDEAS

    as
    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. Zhang, Jin & Wu, Yuehua, 2005. "Likelihood-ratio tests for normality," Computational Statistics & Data Analysis, Elsevier, vol. 49(3), pages 709-721, June.
    3. 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.
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    More about this item

    Keywords

    Size Distortions; Levene test; equality of variances;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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