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http://dx.doi.org/10.5351/KJAS.2008.21.5.867

Why is 90% Confidence Interval Used When Confidence Interval Approach is Used for Testing Equivalence?  

Kang, Seung-Ho (Dept. of Applied Statistics, Yonsei University)
Publication Information
The Korean Journal of Applied Statistics / v.21, no.5, 2008 , pp. 867-873 More about this Journal
Abstract
It is a convention to use 5% significance level when a statistical test is employed for clinical data. But when a confidence interval is used for testing equivalence, 90% confidence interval has often been used. When $1-{\alpha}$ confidence interval is used for hypothesis testing, its significance level is often ${\alpha}$. So it makes a confusion that the significance level is 10% if 90% confidence interval is employed for testing equivalence. In this paper I will clarify this issue by reviewing relevant papers and conducting simulation studies. I hope that it will be beneficial to statisticians in pharmaceutical companies, CROs, university hospitals.
Keywords
Bioequivalence; intersection union test; two one-sided tests;
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