| Regular Fractions of Mixed Factorials with Maximum Estimation Capacity (2007) | |||||||||||||||
Abstract | |||||||||||||||
| . We use a finite projective geometric approach to investigate the issue of maximum estimation capacity in regular fractions of mixed factorials, recognizing the fact that not all two factor interactions may have equal importance in such a setup. Our results provide further statistical justification for the popular criterion of minimum aberration as applied to mixed factorials. AMS 1991 Subject Classification: 62K15 Key words: Complementary subset, main effect, minimum aberration, projective geometry, subspace, two factor interaction. 1 Introduction In the context of regular fractional factorial plans, the criterion of minimum aberration (MA) has gained much popularity over the last two decades. We refer to Chen, Sun and Wu (1993) for an excellent review and to Suen, Chen and Wu (1997) for more recent results and further references. Though most of the literature on MA designs is concerned with symmetric factorials, there has been some progress with mixed factorials as well -- see Wu ... | |||||||||||||||
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