Fractional factorial (FF) designs are widely used in practice and typically are chosen according to the minimum aberration criterion. A sequential algorithm is developed for constructing efficient FF designs. A construction procedure is proposed that allows a design to be constructed only from its minimum aberration projection in the sequential buildup process. To efficiently identify nonisomorphic designs, designs are categorized according to moment projection pattern. A fast isomorphism checking procedure is developed by matching the factors using their delete-one-factor projections. This algorithm is used to completely enumerate all 128-run designs of resolution 4, all 256-run designs of resolution 4 up to 17 factors, all 512-run designs of resolution 5, all 1024-run designs of resolution 6, and all 2048- and 4,096-run designs of resolution 7. A method is proposed for constructing minimum aberration (MA) designs using only a partial catalog of some good designs. Three approaches to constructing good de...
['Hongquan Xu']
Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes