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Biometrika 2006 93(1):137-146; doi:10.1093/biomet/93.1.137
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© 2006 Biometrika Trust

Orthogonal arrays robust to nonnegligible two-factor interactions

Boxin Tang

Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada boxint{at}stat.sfu.ca

Regular fractional factorial designs with clear two-factor interactions provide a useful class of designs that are robust to nonnegligible two-factor interactions. In this paper, the concept of clear two-factor interactions is generalised to orthogonal arrays. The new concept leads to a much wider class of designs robust to nonnegligible two-factor interactions. We study the existence and construction of such designs. The designs we construct have a structure that render themselves particularly attractive in the robust parameter design setting. We also discuss an interesting connection between designs with clear two-factor interactions and mixed orthogonal arrays.

Key Words: Clear two-factor interaction; Fractional factorial; Hadamard matrix; J-characteristic; Rao's bound; Resolution IV design; Robust design

Received February 2005. Revised October 2005.


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D. Bingham, R. R. Sitter, and B. Tang
Orthogonal and nearly orthogonal designs for computer experiments
Biometrika, March 1, 2009; 96(1): 51 - 65.
[Abstract] [PDF]


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