An algorithm for the construction of “D-Optimal” experimental designs

Technometrics

Volumn 42, Issue 1, 2000, Pages 48-54

  Mitchell, Toby J ^a  

^a UNION CARBIDE CORPORATION   (United States)

Author keywords

Augmentation; Computer aided design; D optimal; Design

Indexed keywords

COMPUTER AIDED DESIGN; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION;

LINEAR MODELS;

ALGORITHMS;

EID: 0033874028     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.2000.10485978     Document Type: Article

References (8)

1. Box, M. J., and Draper, N. R. (1971), “Factorial Designs, the |X’X| Criterion, and Some Related Matters,” Technometrics, 13, 731-742.
2. Dykstra, O. (1971), “The Augmentation of Experimental Data to Maximize |X’X|,” Technometrics, 13, 682-688.
3. Hebble, T. L., and Mitchell, T. J. (1972), “‘Repairing’ Response Surface Designs,” Technometrics, 14, 767-779.
4. Kiefer, J. (1958), “On Non-randomized Optimality and Randomized Nonoptimality of Symmetrical Designs,” The Annuls of Mathematical Statistics, 29, 675-699.
5. Mitchell, T. J. (1972), “An Algorithm for the Construction of ‘-D-Optimal’ Experimental Designs, Applied to First-Order Models,” ORNL-4777, Oak Ridge National Laboratory.
6. Mitchell, T. J., and Miller, F. L., Jr. (1970), “Use of ‘Design Repair’ to Construct Designs for Special Linear Models,” in Mathematical Division Annual Progress Report (ORNL-4661), Oak Ridge National Laboratory.
7. Wheeler, R. E. (1972), “Efficient Experimental Design,” unpublished manuscript.
8. Wynn, H. R (1970), “The Sequential Generation of D-Optimum Experimental Designs,” The Annals of Mathematical Statistics, 41, 1655-1664.