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

Effanga Okon Effanga, Christian Elendu Onwukwe


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.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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