In this paper, we obtain a large class of non-isomorphic two-level orthogonal arrays using juxtaposition of certain orthogonal arrays that arise from Hadamard matrices.

Suppose a large number of two-level factors is examined in an experimental situation. Under the assumption of effect sparsity it is often anticipated that only a few experimental factors play an important role in the experiment. Usually, it is not known which columns of the experimental design...

Suppose it is desired to have an optimal resolution III fraction of a 2p factorial in n runs where n[reverse not equivalent]1 (mod 4) or n[reverse not equivalent]3 (mod 4). If n[reverse not equivalent]1 (mod 4), we have to decide if we should add a run in a nxp submatrix of a Hadamard matrix of...

Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. It is of practical interest for a given k to know all the inequivalent projections of the design into the k dimensions. In this paper we give all...

In this paper we examine all the combinatorial non-isomorphic OA(27, q, 3, t), with 3≤q≤13 three level quantitative factors, with respect to model identification, estimation capacity and efficiency. We use the popular D-efficiency criterion to evaluate the ability of each design considered...

Hadamard matrices have traditionally been used for screening main effects only, because of their complex aliasing structures. The hidden projection property, as introduced by Wang and Wu (Statistica Sinica 5 (1995) 235-250), suggests that complex aliasing allows some interactions to be...