Generalized minimum aberration and design efficiency for nonregular fractional factorial designs
Tang and Deng (1999) proposed a generalized minimum aberration criterion (GMA) as a natural extension of the minimum aberration criterion (MA) from regular to nonregular designs. While MA was defined for regular designs only, GMA applies to both regular and nonregular designs. In this paper, we investigate the relationship between GMA and some model-dependent efficiency criteria, and show that GMA is supported by these criteria. An extensive evaluation of designs with 20 runs and 5 factors shows that the GMA criterion can be used to classify and rank-order these designs. Empirical studies also demonstrate that the GMA ranking is consistent with those obtained by using other model-dependent efficiency criteria.
Cheng, C., Deng, L., & Tang, B. (2002). Generalized minimum aberration and design efficiency for nonregular fractional factorial designs. Statistica Sinica, 12 (4), 991-1000. Retrieved from https://digitalcommons.memphis.edu/facpubs/4789