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Statistica Sinica 19 (2009), 1193-1201





EXISTENCE AND CONSTRUCTION

OF TWO-LEVEL ORTHOGONAL ARRAYS

FOR ESTIMATING MAIN EFFECTS AND

SOME SPECIFIED TWO-FACTOR INTERACTIONS


Boxin Tang and Julie Zhou


Simon Fraser University and University of Victoria


Abstract: This paper considers two-level orthogonal arrays that allow joint estimation of all main effects and a set of prespecified two-factor interactions. We obtain some theoretical results that provide a simple characterization of when such designs exist, and how to construct them if they do. General as well as concrete applications of the results are discussed.



Key words and phrases: Clear two-factor interaction, compromise plan, nonregular factorial design, requirement set, robust parameter design.

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