Journal
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
Volume 141, Issue 12, Pages 3686-3696Publisher
ELSEVIER
DOI: 10.1016/j.jspi.2011.06.010
Keywords
Alias structure; Plackett-Burman designs; Projective properties; Restriction on randomization; Screening designs; Two-level designs
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In this article we investigate two-level split-plot designs where the sub-plots consist of only two mirror image trials. Assuming third and higher order interactions negligible, we show that these designs divide the estimated effects into two orthogonal sub-spaces, separating sub-plot main effects and sub-plot by whole-plot interactions from the rest. Further we show how to construct split-plot designs of projectivity P >= 3. We also introduce a new class of split-plot designs with mirror image pairs constructed from non-geometric Plackett-Burman designs. The design properties of such designs are very appealing with effects of major interest free from full aliasing assuming that 3rd and higher order interactions are negligible. (C) 2011 Elsevier B.V. All rights reserved.
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