GA-OPTIMAL PARTIALLY BALANCED FRACTIONAL 2^<m_1+m_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

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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 two kinds of partially balanced fractional 2^<m_1+m_2> factorial designs derived from simple partially balanced arrays, where 2≤m_k for k=1,2. One is a design such that the general mean, the m_1+m_2 main effects, the (2^^<m1>) two-factor interactions, the (2^^<m2>) two-factor ones and some linear combinations of the m_1m_2 two-factor ones are estimable, and the other is a design such that the general mean, the m_1+m_2 main effects, the (2^^<m1>) two-factor interactions, the m_1m_2 two-factor ones and some linear combinations of the (2^^<m2>) two-factor ones are estimable. In each kind of designs, we present 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≤m_1, m_2≤4.

• 一般社団法人日本統計学会の論文

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

• KUWADA MASAHIDE

  Faculty of Integrated Arts and Sciences, 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

• Kuwada Masahide

  Faculty Of Integrated Arts And Sciences Hiroshima University

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
• ANALYSIS OF VARIANCE OF BALANCED FRACTIONAL r^m×s^n FACTORIAL DESIGNS OF RESOLUTION V
• ON SOME PARTIALLY BALANCED FRACTIONAL 2^ FACTORIAL DESIGNS OF RESOLUTION IV

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