A note on the construction of blocked two-level designs with general minimum lower order confounding
نویسندگان
چکیده
Blocked designs are useful in experiments. The general minimum lower order confounding (GMC) is an elaborate criterion which was proposed for selecting optimal fractional factorial designs. Zhang and Mukerjee (2009b) extended the GMC criterion to the B-GMC criterion for selecting a 2n−m : 2r design, where 2n−m : 2r denotes a two-level regular blocked design withN = 2n−m runs, n treatment factors and 2r blocks. This paper gives the first construction method of B-GMC 2n−m : 2r designs with 5N/16 + 1 ≤ n ≤ N/2. The results indicate that under isomorphism, with suitable choice of the blocking factors, each B-GMC blocked design has a common specific structure. Examples are included to illustrate the developed theory. © 2015 Elsevier B.V. All rights reserved.
منابع مشابه
Results for Two-Level Designs with General Minimum Lower-Order Confounding
The general minimum lower-order confounding (GMC) criterion for two-level design not only reveals the confounding information of factor effects but also provides a good way to select the optimal design, which was proposed by Zhang et al. (2008). The criterion is based on the aliased effect-number pattern (AENP). Therefore, it is very important to study properties of AENP for two-level GMC desig...
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