Open Access
October 1997 On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2
S. Hedayat, John Stufken, Guoqin Su
Ann. Statist. 25(5): 2044-2053 (October 1997). DOI: 10.1214/aos/1069362386

Abstract

We study the construction of orthogonal arrays with three levels and index 1 and the existence of orthogonal arrays with three levels and index 2. For strength greater than or equal to 2, we show that orthogonal arrays with three levels and index 1 are unique, and we establish the maximum number of factors for orthogonal arrays with three levels and index 2.

Citation

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S. Hedayat. John Stufken. Guoqin Su. "On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2." Ann. Statist. 25 (5) 2044 - 2053, October 1997. https://doi.org/10.1214/aos/1069362386

Information

Published: October 1997
First available in Project Euclid: 20 November 2003

zbMATH: 0886.05033
MathSciNet: MR1474082
Digital Object Identifier: 10.1214/aos/1069362386

Subjects:
Primary: 05B15 , 62K15
Secondary: 94B05

Keywords: Fractional factorial designs , orthogonal arrays

Rights: Copyright © 1997 Institute of Mathematical Statistics

Vol.25 • No. 5 • October 1997
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