GA-optimal partially balanced fractional $2^{m1+m2}$ factorial designs of resolution $R(\{00,10,01\}|\Omega)$ with $2\leq m_1,m_2\leq 4$

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概要

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• 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 $2\leq m_1, m_2 \leq 4$.

• 広島大学の論文

著者

• Taniguchi Eiji

  Graduate School Of Informatics Okayama University Of Science

• HYODO YOSHIFUMI

  Graduate School of Informatics, Okayama University of Science

• KUWADA MASAHIDE

  Graduate School of Engineering, Hiroshima University

• Lu Shujie

  Graduate Schoolof Engineering, Hiroshima University

• Masahide Kuwada

  Graduate School Of Engineering Hiroshima University

• Lu Shujie

  Graduate School Of Engineering Hiroshima University

• Hyodo Yoshifumi

  Graduate School Of Informatics Okayama University Of Science

関連論文

• BALANCED FRACTIONAL 3^m FACTORIAL DESIGNS OF RESOLUTIONS R({00,10,01}∪S_1|Ω)
• GA-optimal partially balanced fractional $2^{m1+m2}$ factorial designs of resolution $R(\{00,10,01\}|\Omega)$ with $2\leq m_1,m_2\leq 4$
• GA-OPTIMAL PARTIALLY BALANCED FRACTIONAL 2^ FACTORIAL DESIGNS OF RESOLUTION R({00, 10, 01, 11}|Ω) WITH 2 ≦ m_1 ≦ m_2 ≦ 4
• GA-OPTIMAL PARTIALLY BALANCED FRACTIONAL 2^ FACTORIAL DESIGNS OF RESOLUTIONS R({00,10,01,20,02}|Ω) AND R({00,10,01,20,11}|Ω) WITH 2≤m_1,m_2≤4
• CHARACTERIZATION OF BALANCED FRACTIONAL 2^m FACTORIAL DESIGNS OF RESOLUTION R^*({1}|3) AND GA-OPTIMAL DESIGNS

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