CONFIDENCE-INTERVALS ASSOCIATED WITH TESTS FOR BIOEQUIVALENCE

Previously, the connection between bioequivalence tests and their associated confidence intervals was not well understood. In fact, the alpha-level two one-sided tests approach was thought to be associated with a 1 - 2 alpha confidence interval. In this paper, we build up connections which allow us to construct 1 - alpha confidence intervals from alpha-level tests and vice versa. When applied to the alpha-level two one-sided tests, the resultant 1 - alpha confidence intervals are properly contained in Westlake's 1 - alpha symmetric interval (1976). Our approach is readily generalized to different settings, including the nonparametric setting, the ratio parameter setting, and the repeated confidence interval setting.