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Structure Function for Aliasing Patterns in 2l-n Design with Multiple Groups of Factors
The Annals of Statistics
Vol. 31, No. 3 (Jun., 2003), pp. 995-1011
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/3448429
Page Count: 17
You can always find the topics here!Topics: Factorial design, Noise control, Partial differential equations, Factorials, Matrices, Experiment design, Design engineering, Statistics, Statism, Mathematical functions
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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.
The Annals of Statistics © 2003 Institute of Mathematical Statistics