A note on the construction of blocked two-level designs with general minimum lower order confounding

Shengli Zhao, Dennis K.J. Lin, Pengfei Li

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)16-22
Number of pages7
JournalJournal of Statistical Planning and Inference
Volume172
DOIs
StatePublished - May 1 2016

Fingerprint

Confounding
Fractional Factorial Design
Isomorphism
Design
Denote
Experiment
Experiments
Factors

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

@article{505b7f289a034025a3b1a745bdfe58fe,
title = "A note on the construction of blocked two-level designs with general minimum lower order confounding",
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.",
author = "Shengli Zhao and Lin, {Dennis K.J.} and Pengfei Li",
year = "2016",
month = "5",
day = "1",
doi = "10.1016/j.jspi.2015.12.007",
language = "English (US)",
volume = "172",
pages = "16--22",
journal = "Journal of Statistical Planning and Inference",
issn = "0378-3758",
publisher = "Elsevier",

}

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 journalArticle

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.

UR - http://www.scopus.com/inward/record.url?scp=84958745642&partnerID=8YFLogxK

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 -