An Algorithm for Constructing a D-Optimal 2^K Factorial Design for Linear Model Containing Main Effects and One-Two Factor Interaction

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.