Optimal Designs for Toxicology Studies with Multiple Responses and Multiple Stressors

• Activity Number: 78
• Type: Contributed
• Date/Time: Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
• Sponsor: Section on Risk Analysis
• Author(s): Edward L. Boone*+ and David Edwards and Shuchi Jain
• Companies: Virginia Commonwealth University and Virginia Commonwealth University and Virginia Commonwealth University
• Keywords: Risk Analysis ; Design of Experiments ; Dose-Response ; Toxicology

Abstract

Toxicologists are often confronted with studies in with multiple stressors and multiple responses. Using a multivariate dose-response approach allows for the analysis of the study data. However, this work presents a two stage approach to determining the best second stage study design for this situation. Two optimality criterion will be introduced which are unique to this problem: Minimum Bench Mark Dose Tolerable Region (BMDTR) area variance and Minimum BMDTR mixture ray variance. We present both a simulated dataset and a real dataset and use each of the above criteria to suggest augmented optimal designs for the second stage.