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Estimation of missing observations in two-level split-plot designs
Division of Mathematical and Natural Sciences, Arizona State University, Department of Industrial Engineering, Arizona State University, Tempe.
NASA Langley Research Center, Hampton, Department of Industrial Engineering, Arizona State University, Tempe.
Department of Industrial Engineering, Arizona State University, Tempe.ORCID iD: 0000-0003-4222-9631
2008 (English)In: Quality and Reliability Engineering International, ISSN 0748-8017, E-ISSN 1099-1638, Vol. 24, no 2, p. 127-152Article in journal (Refereed) Published
Abstract [en]

Inserting estimates for the missing observations from split-plot designs restores their balanced or orthogonal structure and alleviates the difficulties in the statistical analysis. In this article, we extend a method due to Draper and Stoneman to estimate the missing observations from unreplicated two-level factorial and fractional factorial split-plot (FSP and FFSP) designs. The missing observations, which can either be from the same whole plot, from different whole plots, or comprise entire whole plots, are estimated by equating to zero a number of specific contrast columns equal to the number of the missing observations. These estimates are inserted into the design table and the estimates for the remaining effects (or alias chains of effects as the case with FFSP designs) are plotted on two half-normal plots: one for the whole-plot effects and the other for the subplot effects. If the smaller effects do not point at the origin, then different contrast columns to some or all of the initial ones should be discarded and the plots re-examined for bias. Using examples, we show how the method provides estimates for the missing observations that are very close to their actual values

Place, publisher, year, edition, pages
2008. Vol. 24, no 2, p. 127-152
National Category
Reliability and Maintenance
Research subject
Quality Technology and Management
Identifiers
URN: urn:nbn:se:ltu:diva-9734DOI: 10.1002/qre.871Local ID: 866ae9dc-6aa7-4d2a-9f4f-3b951475d9caOAI: oai:DiVA.org:ltu-9734DiVA, id: diva2:982672
Note
Upprättat; 2008; 20150529 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-16Bibliographically approved

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Kulahci, Murat

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  • apa
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