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Split-plot designs with mirror image pairs as sub-plots
Department of Mathematical Sciences, The Norwegian University of Science and Technology, Trondheim.
Department of Informatics and Mathematical Modelling, Technical University of Denmark.ORCID iD: 0000-0003-4222-9631
Isenberg School of Management, University of Massachusetts Amherst.
2011 (English)In: Journal of Statistical Planning and Inference, ISSN 0378-3758, E-ISSN 1873-1171, Vol. 141, no 12, p. 3686-3696Article in journal (Refereed) Published
Abstract [en]

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

Place, publisher, year, edition, pages
2011. Vol. 141, no 12, p. 3686-3696
National Category
Reliability and Maintenance
Research subject
Quality Technology and Management
Identifiers
URN: urn:nbn:se:ltu:diva-8252DOI: 10.1016/j.jspi.2011.06.010Local ID: 6bba03d6-76a3-442a-98dc-b3502e23368dOAI: oai:DiVA.org:ltu-8252DiVA, id: diva2:981143
Note
Upprättat; 2011; 20150526 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-16Bibliographically approved

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