In experimental design it often happens that values of some of the relevant carriers cannot be specified by the experimenter. We consider the problem of obtaining approximate D-optimal designs when the design space is a product space and the carriers associated with one margin are not subject to control. An equivalence theorem for D-optimal designs is presented. The essential ingredients of iterative schemes for generating designs are discussed and an example is presented.
Bibliographical noteFunding Information:
*R. Dennis Cook is Associate Professor and Director of the Statistical Center, School of Statistics, University of Minnesota, St. Paul, MN 55108. L.A. Thibodeau is Assistant Professor, Department of Biostatistics, Harvard University, Boston, MA 02115. Research for this article was supported in part by Grant R01 GM25587 from the National Institute of General Medical Sciences.T he authors would like to thank the referees for their valuable comments and N. Holschuh for programming assistance.
- Additive models
- Constrained optimal design
- Optimal design with covariates