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Optimal Additions to and Deletions from Two-Level Orthogonal Arrays

Neil A. Butler and Victorino M. Ramos
Journal of the Royal Statistical Society. Series B (Statistical Methodology)
Vol. 69, No. 1 (2007), pp. 51-61
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/4623253
Page Count: 11
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Optimal Additions to and Deletions from Two-Level Orthogonal Arrays
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Abstract

Consider the problem of selecting a two-level factorial design. It is well known that two-level orthogonal arrays of strength 4 or more with e extra runs have various optimality properties including generalized Cheng (type 1) optimality when e = 1, restricted Cheng (type 1) optimality when e = 2 and E-optimality when 3 ≤ e ≤ 5. More general Schur optimality results are derived for more general values of e within the more restricted class of augmented two-level orthogonal arrays. Similar results are derived for the class of orthogonal arrays with deletions. Examples are used to illustrate the results and in many cases the designs are confirmed to be optimal across all two-level designs.

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