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Multiple comparisons with a control under heteroscedasticity

Author

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  • Hong Li
  • Wei Ning

Abstract

This article investigates three procedures on the multiple comparisons with a control in the presence of unequal error variances. The advantages of the proposed methods are illustrated through two examples. The performance of the proposed methods and other alternative methods is compared by simulation studies. The results show that the typical methods assuming equal variance will have inflated error rate and may lead to erroneous inference when the equal variance assumption fails. In addition, the simulation study shows that the proposed approaches always control the family-wise error rate at a specified nominal level α, while some established methods are liberal and have inflated error rate in some scenarios.

Suggested Citation

  • Hong Li & Wei Ning, 2012. "Multiple comparisons with a control under heteroscedasticity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(10), pages 2275-2283, June.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:10:p:2275-2283
    DOI: 10.1080/02664763.2012.706269
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    Cited by:

    1. William C. Horrace & Christopher F. Parmeter, 2017. "Accounting for Multiplicity in Inference on Economics Journal Rankings," Southern Economic Journal, John Wiley & Sons, vol. 84(1), pages 337-347, July.
    2. Lin, Weiqiang, 2014. "The politics of flying: aeromobile frictions in a mobile city," Journal of Transport Geography, Elsevier, vol. 38(C), pages 92-99.
    3. Ekele Alih & Hong Choon Ong, 2015. "Cluster-based multivariate outlier identification and re-weighted regression in linear models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(5), pages 938-955, May.
    4. Mario Hasler, 2016. "Heteroscedasticity: multiple degrees of freedom vs. sandwich estimation," Statistical Papers, Springer, vol. 57(1), pages 55-68, March.
    5. Ekele Alih & Hong Choon Ong, 2015. "An outlier-resistant test for heteroscedasticity in linear models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(8), pages 1617-1634, August.

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