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.
Bibliographical noteFunding Information:
R. D. Cook is a visiting staff member of the Los Alamos National Laboratory. This work was partially performed under the auspices of the United States Department of Energy (Contract W-7405-ENG.36). The authors would like to thank the editors, the referees,a nd Mike Meier, Tom Crane, and S. Juan of the Los Alamos National Laboratory for many helpful suggestions.
- D optimality
- Integrated variance
- Iterative methods
- Optimal design