Optimal Design Criteria for Discrimination and Estimation in Nonlinear Models

Abstract

Nonlinear models are common in pharmacokinetics and pharmacodynamics. To date, most work in design in this area has concentrated on parameter estimation. Here, we introduce the idea of optimization of both estimation and model selection. However, experimental designs that provide powerful discrimination between a pair of competing model structures are rarely efficient in terms of estimating the parameters under each model. Conversely, designs which are efficient for parameter estimation may not provide suitable power to discriminate between the models. Several different methods of addressing both of these objectives simultaneously are introduced in this paper and are compared to an existing optimality criterion.

Key Words:

• Conditional optimality
• Discrimination
• Hybrid design
• Nonlinear model
• Optimal design
• Parameter estimation