GA-optimal partially balanced fractional $2^{m_1+m_2}$ factorial designs of resolution ${R}(\{00,10,01\}|\Omega)$} with $2\leq m_1,m_2 \leq 4$
Lu, Shujie ; Taniguchi, Eiji ; Kuwada, Masahide ; Hyodo, Yoshifumi
Hiroshima Math. J., Tome 37 (2007) no. 1, p. 119-143 / Harvested from Project Euclid
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 $2\leq m_1, m_2 \leq 4$.
Publié le : 2007-03-14
Classification:  ETMDPB association algebra,  GA-optimality criterion,  parametric functions,  PBFF designs,  resolution,  SPBA,  62K05,  05B30
@article{1176324099,
     author = {Lu, Shujie and Taniguchi, Eiji and Kuwada, Masahide and Hyodo, Yoshifumi},
     title = {GA-optimal partially balanced fractional $2^{m\_1+m\_2}$ factorial designs of resolution ${R}(\{00,10,01\}|\Omega)$} with $2\leq m\_1,m\_2 \leq 4$},
     journal = {Hiroshima Math. J.},
     volume = {37},
     number = {1},
     year = {2007},
     pages = { 119-143},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176324099}
}
Lu, Shujie; Taniguchi, Eiji; Kuwada, Masahide; Hyodo, Yoshifumi. 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., Tome 37 (2007) no. 1, pp.  119-143. http://gdmltest.u-ga.fr/item/1176324099/