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Structure Function for Aliasing Patterns in 2l-n Design with Multiple Groups of Factors

Yu Zhu
The Annals of Statistics
Vol. 31, No. 3 (Jun., 2003), pp. 995-1011
Stable URL: http://www.jstor.org/stable/3448429
Page Count: 17
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Structure Function for Aliasing Patterns in 2l-n Design with Multiple Groups of Factors
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Abstract

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.

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