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Statistica Sinica 10(2000), 1117-1132



REGULAR FRACTIONS OF MIXED FACTORIALS

WITH MAXIMUM ESTIMATION CAPACITY


Rahul Mukerjee, Ling-Yau Chan and Kai-Tai Fang


Indian Institute of Management, The University of Hong Kong
and Hong Kong Baptist University



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 set-up. Our results provide further statistical justification for the popular criterion of minimum aberration as applied to mixed factorials.



Key words and phrases: Complementary subset, main effect, minimum aberration, projective geometry, subspace, two-factor interaction.


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