Two-level designs of strength 3 and up to 48 runs
AbstractThis article will help practitioners select strength-3 designs that are useful for screening both main effects and two-factor interactions. We calculated word-length patterns, correlations of four-factor interaction contrast vectors with the intercept, and ranks of the two-factor interaction matrices for all nonequivalent two-level orthogonal arrays of strength 3 and run sizes up to 48. Based on these characteristics, there are a limited number of designs that can be recommended for practical use.
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Bibliographic InfoPaper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2012005.
Length: 22 pages
Date of creation: Feb 2012
Date of revision:
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Postal: Prinsstraat 13, B-2000 Antwerpen
Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
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Orthogonal array; Resolution IV; Nonregular designs;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-02-20 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lin, Dennis K. J. & Draper, Norman R., 1993. "Generating alias relationships for two-level Plackett and Burman designs," Computational Statistics & Data Analysis, Elsevier, vol. 15(2), pages 147-157, February.
- Hongquan Xu, 2005. "A catalogue of three-level regular fractional factorial designs," Metrika, Springer, vol. 62(2), pages 259-281, November.
- Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
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