An Algorithm for the Construction of “D-Optimal” Experimental Designs
- 1 May 1974
- journal article
- research article
- Published by Taylor & Francis in Technometrics
- Vol. 16 (2) , 203-210
- https://doi.org/10.1080/00401706.1974.10489175
Abstract
This paper presenm the algorithm “DETMAX” whose purpose is to construct experimental designs that are “D-optimal.” These are designs for which the determinant of X'X is maximum, where X is the “matrix of independent variables” in the usual linear model y = Xβ + ε. Although the algorithm does not guarantee D-optimality, it has performed well in many cases where D-optimal designs are known. Five examples are given, illustrating the use of DETMAX to construct designs “from scratch” and to augment existing data. A FORTRAN listing is available on request.Keywords
This publication has 4 references indexed in Scilit:
- Factorial Designs, the |X′X| Criterion, and Some Related MattersTechnometrics, 1971
- The Augmentation of Experimental Data to Maximize |X′X|Technometrics, 1971
- The Sequential Generation of $D$-Optimum Experimental DesignsThe Annals of Mathematical Statistics, 1970
- On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical DesignsThe Annals of Mathematical Statistics, 1958