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December, 1989 Construction of $2^m4^n$ Designs via a Grouping Scheme
C. F. J. Wu
Ann. Statist. 17(4): 1880-1885 (December, 1989). DOI: 10.1214/aos/1176347399


We develop a method for grouping the $2^k - 1$ factorial effects in a 2-level factorial design into mutually exclusive sets of the form $(s, t, st)$, where $st$ is the generalized interaction of effects $s$ and $t$. As an application, we construct orthogonal arrays $OA(2^k, 2^m4^n, 2)$ of size $2^k, m$ constraints with 2 levels and $n$ constraints with 4 levels in the construction cannot be further improved. In this sense our grouping scheme is optimal. We discuss the advantages of the present approach over other construction methods.


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C. F. J. Wu. "Construction of $2^m4^n$ Designs via a Grouping Scheme." Ann. Statist. 17 (4) 1880 - 1885, December, 1989.


Published: December, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0695.62198
MathSciNet: MR1026317
Digital Object Identifier: 10.1214/aos/1176347399

Primary: 62K15
Secondary: 05B15

Keywords: Fractional factorial designs , method of replacement , orthogonal arrays , symmetric difference

Rights: Copyright © 1989 Institute of Mathematical Statistics


Vol.17 • No. 4 • December, 1989
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