Abstract
Tang and Deng (1999) proposed minimum G aberration as a generalized version of the usual minimum aberration criterion by Fries and Hunter (1980), thereby providing a criterion that can be applied to both regular and nonregular fractional factorial designs. This paper presents the excursion-at-target algorithm for the construction of minimum G aberration designs. A new criterion is introduced that is computationally simpler to apply than minimum G aberration, and it is put to use in the excursion-at-target algorithm as a time-saving surrogate. Although the algorithm cannot guarantee minimum G aberration, we have shown that excursion-at-target performs well and often results in the best designs. A complete table of minimum or near-minimum G aberration designs of 24 runs accommodating between three and 23 factors is given. Minimum or near-minimum G2 and G4 aberration designs are also tabulated.
Additional information
Notes on contributors
Debra Ingram
Dr. Ingram is Assistant Professor in the Department of Mathematics and Statistics. Her email address is [email protected].
Boxin Tang
Dr. Tang is Associate Professor in the Department of Statistics and Actuarial Science. His email address is [email protected]