GA-optimal partially balanced fractional 2~(m_1+m_2) factorial designs of resolution R({00,10,01} | Ω) with 2 ≤ m_1, m_2 ≤ 4

摘要

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 (2~(m_1)) two-factor interactions, of the (2~(m_2)) ones and of the m_1m_2 ones are estimable, where 2 ≤ 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≤ m_1, m_2 ≤ 4.