CHARACTERIZATION OF BALANCED FRACTIONAL 2^m FACTORIAL DESIGNS OF RESOLUTION R^*({1}|3) AND GA-OPTIMAL DESIGNS

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概要

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• In this paper, based on the assumption that the four-factor and higher-order interactions are to be negligible, we consider a balanced fractional 2^m factorial design derived from a simple array such that all the main effects are estimable, i. e., resolution R^*({1}|3). In this situation, using the algebraic structure of the triangular multidimensional partially balanced association scheme and a matrix equation, we can get designs of four types of resolutions: the first is of resolution R({1}|3), the second is of resolution R({0, 1}|3), the third is of resolution R({1, 2}|3), i. e., resolution VI, and the last is of resolution R({0, 1, 2}|3), i. e., resolution VI. This paper gives the characterization of designs mentioned above, and also it gives optimal designs with respect to the generalized A-optimality criterion for 6 ≤ m ≤ 8 when the number of assemblies is less than the number of non-negligible factorial effects.

• 一般社団法人日本統計学会の論文

著者

• KUWADA MASAHIDE

  Graduate School of Engineering, Hiroshima University

• KUWADA MASAHIDE

  Faculty of Integrated Arts and Sciences, Hiroshima University

• Masahide Kuwada

  Graduate School Of Engineering Hiroshima University

• Hyodo Yoshifumi

  Department Of Applied Mathematics Faculty Of Science Okayama University Of Science

• Han Dong

  Graduate School of Engineering, Hiroshima University

• Kuwada Masahide

  Faculty Of Integrated Arts And Sciences Hiroshima University

• Han Dong

  Graduate School Of Engineering Hiroshima University

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