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Testing the similarity of two normal populations with application to the bioequivalence problem

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  • Husam Awni Bayoud

Abstract

The problem of testing the similarity of two normal populations is reconsidered, in this article, from a nonclassical point of view. We introduce a test statistic based on the maximum likelihood estimate of Weitzman's overlapping coefficient. Simulated critical points are provided for the proposed test for various sample sizes and significance levels. Statistical powers of the proposed test are computed via simulation studies and compared to those of the existing tests. Furthermore, Type-I error robustness of the proposed and the existing tests are studied via simulation studies when the underlying distributions are non-normal. Two data sets are analyzed for illustration purposes. Finally, the proposed test has been implemented to assess the bioequivalence of two drug formulations.

Suggested Citation

  • Husam Awni Bayoud, 2016. "Testing the similarity of two normal populations with application to the bioequivalence problem," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(7), pages 1322-1334, July.
    • Handle: RePEc:taf:japsta:v:43:y:2016:i:7:p:1322-1334
    DOI: 10.1080/02664763.2015.1100591
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    References listed on IDEAS

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    1. Lingyun Zhang & Xinzhong Xu & Gemai Chen, 2012. "The Exact Likelihood Ratio Test for Equality of Two Normal Populations," The American Statistician, Taylor & Francis Journals, vol. 66(3), pages 180-184, August.
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