Formula omitted]-optimal mixed-level supersaturated designs

Abstract

This paper introduces an optimality criterion for mixed-level supersaturated designs, called E ( χ 2 ) , which covers E ( s 2 ) for two-level designs and ave ( χ 2 ) for symmetrical designs as two special cases. Some lower bounds of E ( χ 2 ) are obtained. Furthermore, it is shown that the E ( χ 2 ) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E ( χ 2 ) -optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.