Abstract
We study conditions for existence and we introduce methods of construction of some combinatorial configurations called proportional frequency arrays. These arrays are used for planning factorial experiments when all interactions among the factors are supposed negligible, and they provide orthogonal fractional factorial designs. We are concerned here with constructing minimal or nearly minimal designs. It is shown that only orthogonal arrays of strength 2 are of minimal size. Some conditions for existence are given for designs which are balanced arrays with one more run than the minimum. Several balanced arrays with two symbols providing designs of reduced size n ⩽ 100 are also constructed.
Published Version
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