TY - JOUR
T1 - Optimal foldover plans for regular s-level fractional factorial designs
AU - Ai, Mingyao
AU - Hickernell, Fred J.
AU - Lin, Dennis K.J.
N1 - Funding Information:
The authors are grateful to Prof. K.-T. Fang for his valuable comments and suggestions. The first author’s work was partially supported by NNSF of China grant Nos. 10671007, 10571093. The second author’s work was partially supported by Hong Kong Research Grants Council grant RGC/HKBU/2030/99P and by Hong Kong Baptist University grant FRG/00-01/II-62.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/5
Y1 - 2008/5
N2 - This article introduces a general decomposition structure of the foldover plan. While all the previous work is limited to two-level designs, our results here are good for general regular s-level fractional factorial designs, where s is any prime or prime power. The relationships between an initial design and its combined designs are studied. This is done for both with and without consideration of the blocking factor. For illustration of the usage of our theorems, a complete collection of foldover plans for regular three-level designs with 27 runs is given that is optimal for aberration and clear effect numbers.
AB - This article introduces a general decomposition structure of the foldover plan. While all the previous work is limited to two-level designs, our results here are good for general regular s-level fractional factorial designs, where s is any prime or prime power. The relationships between an initial design and its combined designs are studied. This is done for both with and without consideration of the blocking factor. For illustration of the usage of our theorems, a complete collection of foldover plans for regular three-level designs with 27 runs is given that is optimal for aberration and clear effect numbers.
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U2 - 10.1016/j.spl.2007.09.017
DO - 10.1016/j.spl.2007.09.017
M3 - Article
AN - SCOPUS:42649102038
VL - 78
SP - 896
EP - 903
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 7
ER -