A Bayesian approach for evaluating equivalence over multiple groups, and comparison with frequentist tost

Area of Science:

• Pharmaceutical manufacturing and quality control
• Statistical methodology
• Bayesian inference

Background:

• Pharmaceutical manufacturing and testing often involve multiple sites, necessitating equivalence demonstration for product consistency.
• Traditional Frequentist methods for equivalence testing are established for two groups but can be less interpretable for multiple sites.
• Assessing equivalence across several manufacturing or testing facilities is crucial for maintaining product quality.

Purpose of the Study:

• To demonstrate the utility of Bayesian methods for assessing the equivalence of multiple groups (e.g., manufacturing/testing sites).
• To compare the Bayesian approach against traditional Frequentist methods for multi-group equivalence.
• To highlight the advantages of Bayesian analysis in understanding site similarity.

Main Methods:

• Application of Bayesian statistical methods to multi-group equivalence assessment.
• Comparative analysis of Bayesian and Frequentist approaches for equivalence testing.
• Evaluation of equivalence for multiple pharmaceutical manufacturing and testing sites.

Main Results:

• Bayesian methods provide a more nuanced understanding of the degree of similarity among multiple sites.
• The Bayesian strategy is effective for addressing multi-group equivalence problems.
• Frequentist hypothesis testing may offer less interpretable estimates for simultaneous multi-group equivalence.

Conclusions:

• Bayesian strategies are highly useful for multi-group equivalence assessments in pharmaceutical quality control.
• Bayesian analysis offers advantages over Frequentist methods for understanding site similarity.
• The study advocates for the consideration of Bayesian methods in multi-site pharmaceutical equivalence testing.