Open Access
August 2014 A characterization of strong orthogonal arrays of strength three
Yuanzhen He, Boxin Tang
Ann. Statist. 42(4): 1347-1360 (August 2014). DOI: 10.1214/14-AOS1225


In an early paper, He and Tang [Biometrika 100 (2013) 254–260] introduced and studied a new class of designs, strong orthogonal arrays, for computer experiments, and characterized such arrays through generalized orthogonal arrays. The current paper presents a simple characterization for strong orthogonal arrays of strength three. Besides being simple, this new characterization through a notion of semi-embeddability is more direct and penetrating in terms of revealing the structure of strong orthogonal arrays. Some other results on strong orthogonal arrays of strength three are also obtained along the way, and in particular, two $\operatorname{SOA}(54,5,27,3)$’s are constructed.


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Yuanzhen He. Boxin Tang. "A characterization of strong orthogonal arrays of strength three." Ann. Statist. 42 (4) 1347 - 1360, August 2014.


Published: August 2014
First available in Project Euclid: 25 June 2014

zbMATH: 1306.62188
MathSciNet: MR3226159
Digital Object Identifier: 10.1214/14-AOS1225

Primary: 62K15
Secondary: 05B15

Keywords: $(t,m,s)$-net , computer experiment , Latin hypercube , low dimensional projection , space-filling design

Rights: Copyright © 2014 Institute of Mathematical Statistics

Vol.42 • No. 4 • August 2014
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