Abstract

In this paper an algorithm to construct a D-optimal $2^k$ factorial design based on the work of (Hedayat \& Pesotan, 2007) is developed and coded in a high level computer programming language, JAVA. Our algorithm is able to generate all possible square matrices of order (k + 2) from a $2^k$ by (k + 2) matrix, select all possible g(k, 1) design matrices of order (k + 2), and hence select a D-optimal design matrix. Furthermore, the computational formulas for the estimation of parameters for the $2^2$ and $2^3$ designs are derived. The results obtained by our algorithm agree with the theoretical results derived in.

This work is licensed under a Creative Commons Attribution 4.0 License.