Ai, Ming-Yao; Zhang, Run-Chu Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs. (English) Zbl 1083.62071 Metrika 60, No. 3, 279-285 (2004). Summary: Recently, H. Xu and C. F. J. Wu [Ann. Stat. 29, No. 4, 1066–1077 (2001; Zbl 1041.62067)] presented a generalized minimum aberration criterion for comparing and selecting general fractional factorial designs. This criterion is defined using a set of \(\chi_u(D)\) values, called \(J\)-characteristics by us. We find a set of linear equations that relate the set of design points to that of \(J\)-characteristics, which implies that a factorial design is uniquely determined by its \(J\)-characteristics once the orthonormal contrasts are designated. Thereto, a projection justification of generalized minimum aberration is established. All of these conclusions generalize the results for two-level symmetrical factorial designs of B. Tang [Biometrika 88, No. 2, 401–407 (2001; Zbl 0984.62053)]. Cited in 2 ReviewsCited in 14 Documents MSC: 62K15 Factorial statistical designs Keywords:generalized minimum aberration; nonregular; projection property Citations:Zbl 1041.62067; Zbl 0984.62053 PDFBibTeX XMLCite \textit{M.-Y. Ai} and \textit{R.-C. Zhang}, Metrika 60, No. 3, 279--285 (2004; Zbl 1083.62071) Full Text: DOI