On the Confidence Intervals in Bioequivalence Studies
This addresses a methodological nuance in bioequivalence studies for regulatory agencies like the FDA, but it is incremental as it clarifies existing procedures rather than introducing new ones.
The paper clarifies that the standard 100(1-2α)% confidence interval method for bioequivalence testing only yields a size-α test when the two one-sided tests in TOST are equal-tailed, and it discusses an alternative 100(1-α)% confidence interval approach.
A bioequivalence study is a type of clinical trial designed to compare the biological equivalence of two different formulations of a drug. Such studies are typically conducted in controlled clinical settings with human subjects, who are randomly assigned to receive two formulations. The two formulations are then compared with respect to their pharmacokinetic profiles, which encompass the absorption, distribution, metabolism, and elimination of the drug. Under the guidance from Food and Drug Administration (FDA), for a size-$α$ bioequivalence test, the standard approach is to construct a $100(1-2α)\%$ confidence interval and verify if the confidence interval falls with the critical region. In this work, we clarify that $100(1-2α)\%$ confidence interval approach for bioequivalence testing yields a size-$α$ test only when the two one-sided tests in TOST are ``equal-tailed''. Furthermore, a $100(1-α)\%$ confidence interval approach is also discussed in the bioequivalence study.