ANOTHER LOOK AT NEW GMA ORTHOGONAL ARRAYS

Yingfu Li, Timothy Wittig
2001 Conference on Applied Statistics in Agriculture  
Non-regular factorial designs have not been advocated until last decade clue to their complex aliasing structure. However, some researchers recently found that the complex aliasing structure of non-regular factorial designs is a challenge as well as an opportunity. Li, Deng, and Tang (2000) studied nOll-regular designs and generated a collection of non-equivalent orthogonal arrays using a generalized miniumm aberration criterion, proposed by Deng and Tang (1999) . Some new orthogonal arrays
more » ... found cannot be embedded into Hadamard matrices. In this paper, we study these orthogonal arrays from the angle of projection. vVe show that these new GMA orthogonal arrays are also superior to the top designs obtained from Hadamard matrices when evaluated hy the criteria of model estimability and design efhc:ienc:y. }(e:1J WOTYiS and phmses: non-regular design, gcncrajizccl minimum aberratiun, model cstima-IJility, design efficiency, Hadamard matrices, orthogona.l alTays. 117 In this paper, we study those top orthogonal arrays that cannot be embedded into Hadamard matrices from the angle of projection. We show that these new orthogonal arrays are superior to the top designs obtained from Hadamard matrices when further evaluated by the criteria of model estimability and design efficiency. For simplicity, we will focus on
doi:10.4148/2475-7772.1220 fatcat:53scwqcorvgjlmiacgl7ktkp5q