TY - JOUR
T1 - A note on the construction of blocked two-level designs with general minimum lower order confounding
AU - Zhao, Shengli
AU - Lin, Dennis K.J.
AU - Li, Pengfei
N1 - Funding Information:
The authors would like to thank the associate editor and two referees for constructive suggestions and comments that led to a significant improvement of the article. This work was supported by the National Natural Science Foundation of China grant Nos. 11171165 , 11171188 and 11371223 , Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province , Program for Scientific Research Innovation Team in Applied Probability and Statistics of Qufu Normal University (No. 0230518 ), the Natural Sciences and Engineering Research Council of Canada grant No. RGPIN-2015-06592 , and National Security Agent grant No. H98230-15-1-0253 .
Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2016/5/1
Y1 - 2016/5/1
N2 - 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 with N=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.
AB - 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 with N=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.
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U2 - 10.1016/j.jspi.2015.12.007
DO - 10.1016/j.jspi.2015.12.007
M3 - Article
AN - SCOPUS:84958745642
VL - 172
SP - 16
EP - 22
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
SN - 0378-3758
ER -