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March 2007 GA-optimal partially balanced fractional $2^{m_1+m_2}$ factorial designs of resolution ${R}(\{00,10,01\}|\Omega)$} with $2\leq m_1,m_2 \leq 4$
Shujie Lu, Eiji Taniguchi, Masahide Kuwada, Yoshifumi Hyodo
Hiroshima Math. J. 37(1): 119-143 (March 2007). DOI: 10.32917/hmj/1176324099

Abstract

Under the assumption that the three-factor and higher-order interactions are negligible, we consider a partially balanced fractional $2^{m_1+m_2}$ factorial design derived from a simple partially balanced array such that the general mean, all the $m_1+m_2$ main effects, and some linear combinations of $\binom{m_1}{2}$ two-factor interactions, of the $\binom{m_2}{2}$ ones and of the $m_1m_2$ ones are estimable, where $2\leq m_k$ for $k=1,2$. This paper presents optimal designs with respect to the generalized A-optimality criterion when the number of assemblies is less than the number of non-negligible factorial effects, where $2\leq m_1, m_2 \leq 4$.

Citation

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Shujie Lu. Eiji Taniguchi. Masahide Kuwada. Yoshifumi Hyodo. "GA-optimal partially balanced fractional $2^{m_1+m_2}$ factorial designs of resolution ${R}(\{00,10,01\}|\Omega)$} with $2\leq m_1,m_2 \leq 4$." Hiroshima Math. J. 37 (1) 119 - 143, March 2007. https://doi.org/10.32917/hmj/1176324099

Information

Published: March 2007
First available in Project Euclid: 11 April 2007

zbMATH: 1138.62043
MathSciNet: MR2308528
Digital Object Identifier: 10.32917/hmj/1176324099

Subjects:
Primary: 62K05
Secondary: 05B30

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

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Vol.37 • No. 1 • March 2007
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