Donghong Wu - MSc defence

Title: Searching for Optimal Orthogonal Arrays for Estimating Main Effects and Some Specified Two-factor Interactions


We consider the problem of finding optimal orthogonal arrays for estimating main effects and some specified two-factor interactions. Based on theoretical results from Tang and Zhou (2008), we develop a computational algorithm for this purpose. The D-efficiency and bias are considered as the criteria for design optimality. The performance of the algorithm is evaluated by comparing the results obtained by the algorithm with those from complete search. Finally, we present a useful collection of optimal orthogonal arrays with small run sizes.