Model identification using 27 runs three level orthogonal arrays

In this paper we examine all the combinatorial non-isomorphicOA(27, q, 3, t), with 3 ≤ q ≤ 13 three level quantitative factors, with respect to model identification, estimation capacity and efficiency. We use the popularD-efficiency criterion to evaluate the ability of each design considered in estimating the parameters of a second-order model with adequate efficiency. The prior selection of the ‘middle’ level of factors plays an important role in the results.