Generalized minimum aberration for asymmetrical fractional factorial designs
Xu, Hongquan ; Wu, C.F.J.
Ann. Statist., Tome 29 (2001) no. 2, p. 549-560 / Harvested from Project Euclid
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By studying treatment contrasts and ANOVA models, we propose a generalized minimum aberration criterion for comparing asymmetrical fractional factorial designs. The criterion is independent of the choice of treatment contrasts and thus model­free. It works for symmetrical and asymmetrical designs, regular and nonregular designs. In particular, it reduces to the minimum aberration criterion for regular designs and the minimum G2 ­aberration criterion for two­level nonregular designs. In addition, by exploring the connection between factorial design theory and coding theory, we develop a complementary design theory for general symmetrical designs, which covers many existing results as special cases.
Publié le : 2001-04-14
Classification:  ANOVA,  distance distribution,  MacWilliams transforms,  minimum aberration,  orthogonal arrays,  wordlength pattern,  62K15,  62K05 
@article{1009210552,
     author = {Xu, Hongquan and Wu, C.F.J.},
     title = {Generalized minimum aberration for asymmetrical fractional
			 factorial designs},
     journal = {Ann. Statist.},
     volume = {29},
     number = {2},
     year = {2001},
     pages = { 549-560},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1009210552}
}

Xu, Hongquan; Wu, C.F.J. Generalized minimum aberration for asymmetrical fractional
			 factorial designs. Ann. Statist., Tome 29 (2001) no. 2, pp.  549-560. http://gdmltest.u-ga.fr/item/1009210552/