Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 16-22 |
| Number of pages | 7 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 172 |
| DOIs | |
| State | Published - May 1 2016 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics
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A note on the construction of blocked two-level designs with general minimum lower order confounding. / Zhao, Shengli; Lin, Dennis K.J.; Li, Pengfei.
In: Journal of Statistical Planning and Inference, Vol. 172, 01.05.2016, p. 16-22.Research output: Contribution to journal › Article
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
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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UR - http://www.scopus.com/inward/citedby.url?scp=84958745642&partnerID=8YFLogxK
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 -