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

Husam Awni Bayoud

Journal of Applied Statistics, 2016, vol. 43, issue 7, 1322-1334

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:43:y:2016:i:7:p:1322-1334

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DOI: 10.1080/02664763.2015.1100591

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