Comparison of Robust Criteria for D-Optimal Designs

Abstract

This study compared the performance of a local and three robust optimality criteria in terms of the standard error for a one-parameter and a two-parameter nonlinear model with uncertainty in the parameter values. The designs were also compared in conditions where there was misspecification in the prior parameter distribution. The impact of different correlation between parameters on the optimal design was examined in the two-parameter model. The designs and standard errors were solved analytically whenever possible and numerically otherwise.

Key Words:

• D-optimal design
• ED design
• Nonlinear model
• Pharmacokinetics
• Robust design
• Standard error

ACKNOWLEDGMENT

Lee Kien Foo is supported by a University of Otago PhD scholarship.

Notes

Note. t, Optimal support points. w, Optimal weighting for the corresponding support point.

Note. SE = SE(CL) + SE(V).