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A classical dataset from Williams, and its role in the study of supersaturated designs.
Stockholm University, Faculty of Science, Department of Mathematics. Matematisk statistik.
2008 (English)In: Journal of Chemometrics, Vol. 22, 436-440 p.Article in journal (Refereed) Published
Abstract [en]

A Plackett–Burman type dataset from a paper by Williams (1968), with 28 observations and 24 two-level factors, has become a standard dataset for illustrating construction (by halving) of supersaturated designs (SSDs) and for a corresponding data analysis. The aim here is to point out that for several reasons this is an unfortunate situation. The original paper by Williams contains several errors and misprints. Some are in the design matrix, which will here be reconstructed, but worse is an outlier in the response values, which can be observed when data are plotted against the dominating factor. In addition, the data should better be analysed on log-scale than on original scale. The implications of the outlier for SSD analysis are drastic, and it will be concluded that the data should be used for this purpose only if the outlier is properly treated (omitted or modified).

Place, publisher, year, edition, pages
2008. Vol. 22, 436-440 p.
Keyword [en]
Statistics, chemometrics
URN: urn:nbn:se:su:diva-14897ISI: 000258566700002OAI: diva2:181417
Available from: 2008-11-07 Created: 2008-11-07 Last updated: 2011-01-10Bibliographically approved

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Sundberg, Rolf
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