Abstract
ABSTRACTWe consider the problem of constructing search designs for 3m factorial designs. By using projection properties of some three-level orthogonal arrays, some search designs are obtained for 3 ⩽ m ⩽ 11. The new obtained orthogonal search designs are capable of searching and identifying up to four two-factor interactions and estimating them along with the general mean and main effects. The resulted designs have very high searching probabilities; it means that besides the well-known orthogonal structure, they have high ability in searching the true effects.
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