Motivated by a Bayesian framework, we propose a new minimum aberration type criterion for designing experiments with twoand four-level factors. The Bayesian approach helps in overcoming the ad hoc nature of effect ordering in the existing minimum aberration type criteria. Moreover, the approach is also capable of distinguishing between qualitative and quantitative factors. Numerous examples are...

We show a link between two apparently unrelated areas, namely uniformity and minimum aberration, both of which have been of substantial recent interest. Speciically, with reference to regular fractions of two-level factorials, we derive an expression for the centered L 2-discrepancy measure for uniformity in terms of the wordlength pattern. This result indicates, in particular, an excellent beh...

A novel combinatorial criterion, called minimum moment aberration, is proposed for assessing the goodness of nonregular designs and supersaturated designs. The new criterion, which is to sequentially minimize the power moments of the number of coincidences among runs, is a surrogate with tremendous computational advantages for many statistically justified criteria, such as minimum G2aberration,...