Minimum aberration is the most established criterion for selecting a regular fractional factorial design of maximum resolution. Minimum aberration designs for n runs and n/2 = m n factors have previously been constructed using the novel idea of complementary designs. In this paper, an...

Nonregular two-level fractional factorial designs are designs which cannot be specified in terms of a set of defining contrasts. The aliasing properties of nonregular designs can be compared by using a generalisation of the minimum aberration criterion called minimum G-sub-2-aberration. Until...

Blocking of two-level factorial designs is considered for block sizes 2 and 4 using the method of fractional partial confounding. A-, D- and E-optimal designs are obtained for block size 2 within the class of orthogonal designs for which main effects and two-factor interactions are all...

Generalised minimum aberration is a recently-established design criterion for the whole class of orthogonal arrays and fractional factorial designs. The criterion is, as its name suggests, a generalisation of minimum aberration for regular designs and of minimum G-sub-2-aberration for twolevel...

In this paper, the concepts of clear effects, alias sets and grid representations are generalized to nonregular two-level designs. Many good generalized join designs of n runs with resolution IV or more containing many clear two-factor interactions are given for n=48 up to 192 and n being a...

This paper considers the efficiency of ordinary least squares in designed experiments where the experimental runs are subject to spatial or temporal variation. The efficiency is shown to be very dependent on both the number of treatment replicates and the number of treatments as well as the...

This paper considers weighted design optimality criteria for polynomial responses surfaces. It is shown that there are some particularly simple parameterizations of the response surface for which weighted optimality criteria are equivalent to A-optimality or weighted A-optimality. This is useful...

Two-level supersaturated designs are invariably chosen using either E(s2)-optimality or the minimax criterion. Of these, E(s2)-optimality has received more interest and is the most well developed, partly because the problem seems to be more tractable. Nonetheless, minimax designs have already...