Model Robust, Linear-Optimal Designs

Abstract

Motivated by a pioblem concerning the estimation of uranium content in calibration standards, a new design criterion is developed that generalizes linear optimality to a situation in which, a priori, the exact form of the regression model need not be known. An equivalence theorem is given, some properties of the new designs are delineated, and iterative methods for design construction are presented. Finally, by using methods developed within, optimal designs are computed in a number of situations, including that of the motivating example.

KEY WORDS:

• D optimality
• Integrated variance
• Iterative methods
• Optimal design
• Regression