Electronic Journal of Statistics

Construction of minimum generalized aberration two-level orthogonal arrays

Haralambos Evangelaras

Abstract

In this paper we explore the problem of constructing two-level Minimum Generalized Aberration (MGA) orthogonal arrays with strength $t$, $n$ runs and $q>t$ columns, using a method that employs the $J$-characteristics of a two-level design. General results for the construction of MGA orthogonal arrays with $t+1$, $t+2$ and $t+3$ columns are given, while all MGA designs with strength $t\ge 2$, $n \equiv$ 0 mod 4 runs and $q\le 6$ are constructed. Results are also given for two-level orthogonal arrays with $q=7$ factors, but with strength greater than two. Projection properties of the MGA designs that have been identified, are also discussed.

Article information

Source
Electron. J. Statist., Volume 9, Number 2 (2015), 2689-2705.

Dates
Received: July 2015
First available in Project Euclid: 8 December 2015

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1449582160

Digital Object Identifier
doi:10.1214/15-EJS1091

Mathematical Reviews number (MathSciNet)
MR3432431

Zentralblatt MATH identifier
1352.62127

Subjects
Primary: 62K15: Factorial designs
Secondary: 05B20: Matrices (incidence, Hadamard, etc.)

Citation

Evangelaras, Haralambos. Construction of minimum generalized aberration two-level orthogonal arrays. Electron. J. Statist. 9 (2015), no. 2, 2689--2705. doi:10.1214/15-EJS1091. https://projecteuclid.org/euclid.ejs/1449582160

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