The Annals of Statistics

Construction of $2^m4^n$ Designs via a Grouping Scheme

C. F. J. Wu

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Statist., Volume 17, Number 4 (1989), 1880-1885.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176347399

Digital Object Identifier
doi:10.1214/aos/1176347399

Mathematical Reviews number (MathSciNet)
MR1026317

Zentralblatt MATH identifier
0695.62198

JSTOR
links.jstor.org

Subjects
Primary: 62K15: Factorial designs
Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares

Keywords
Orthogonal arrays fractional factorial designs method of replacement symmetric difference

Citation

Wu, C. F. J. Construction of $2^m4^n$ Designs via a Grouping Scheme. Ann. Statist. 17 (1989), no. 4, 1880--1885. doi:10.1214/aos/1176347399. https://projecteuclid.org/euclid.aos/1176347399


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