, Volume 73, Issue 3, pp 385-394
Date: 24 Sep 2009

Optimality results on orthogonal arrays plus p runs for s m factorial experiments

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Abstract

The optimality of designs obtained by adding p runs to an orthogonal array is studied for experiments involving m factors each at s levels. The optimality criterion used here, is the Type 1 criterion due to Cheng (1978) which is an extension of Kiefer (1975) universal optimality criterion. Unlike what happens with orthogonal array plus one run designs, the behavior of designs obtained via augmentation of an orthogonal array by p runs depends on the particular runs added.