Structure function for aliasing patterns in \(2^{l-n}\) design with multiple groups of factors. (English) Zbl 1028.62062

Zhu, Yu

Ann. Stat. 31, No. 3, 995-1011 (2003).

Summary: A general approach to studying fractional factorial designs with multiple groups of factors is proposed. A structure function is generated by the defining contrasts among different groups of factors and the remaining columns. The structure function satisfies a first-order partial differential equation. By solving this equation, general results about the structures and properties of the designs are obtained. As an important application, practical rules for the selection of “optimal” single arrays for robust parameter design experiments are derived.

MSC:

62K15	Factorial statistical designs
62K05	Optimal statistical designs

Keywords:

complementary designs; wordtype pattern; structure index; structure function; first-order partial differential equation; fractional factorial designs

References:

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[22]	WEST LAFAy ETTE, INDIANA 47907 E-MAIL: [e-mail]