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Bayesian Construction of an Improved Parametric Test for Probability‐Based Individual Bioequivalence
Author(s) -
Wellek Stefan
Publication year - 2000
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200012)42:8<1039::aid-bimj1039>3.0.co;2-1
Subject(s) - bioequivalence , bayesian probability , mathematics , prior probability , statistics , parametric statistics , statistical hypothesis testing , bayesian statistics , posterior probability , statistical power , econometrics , bayesian inference , bioavailability , bioinformatics , biology
Assuming a lognormally distributed measure of bioavailability, individual bioequivalence is defined as originally proposed by Anderson and Hauck (1990) and Wellek (1990; 1993). For the posterior probability of the associated statistical hypothesis with respect to a noninformative reference prior, a numerically efficient algorithm is constructed which serves as the building block of a procedure for computing exact rejection probabilities of the Bayesian test under arbitrary parameter constellations. By means of this tool, the Bayesian test can be shown to maintain the significance level without being over‐conservative and to yield gains in power of up to 30% as compared to the distribution‐free procedure which gained some popularity under the name TIER. Moreover, it is shown that the Bayesian construction also allows scaling of the probability‐based criterion with respect to the proportion of subjects exhibiting bioequivalent responses to repeated administrations of the reference formulation of the drug under study.