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Alternative optimal foldover plans for regular fractional factorial split-plot designs

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Abstract

McLeod and Brewster (Technometrics 46:135–146, 2008) considered the construction of optimal foldover plans for regular fractional factorial split plot designs. The construction process was based on the minimum aberration criterion for both the initial design and the combined design derived through the foldover. In this paper we give some additional foldover designs which have desirable properties that may provide viable alternative options to some of the plans provided in McLeod and Brewster (Technometrics 46:135–146, 2008).

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References

  • Bingham, D.R. and Sitter, R.R. (1999). Minimum-aberration two-level fractional factorial split-plot designs. Technometrics, 41, 62–70.

    Article  Google Scholar 

  • Box, G.E.P. and Hunter, J.S. (1961). The 2k − p fractional factorial designs I. Technometrics, 3, 311–351.

    MathSciNet  Google Scholar 

  • Box, G.E.P. and Wilson, K.B. (1951). On the experimental attainment of optimum conditions. J. R. Stat. Soc. Ser. B, 13, 1–45.

    MathSciNet  MATH  Google Scholar 

  • Cheng, C.S. and Tang, B. (2005). A general theory of minimum abberation and its applications. Ann. Statist., 33, 944–958.

    Article  MathSciNet  MATH  Google Scholar 

  • Cheng, C.S., Martin, R.J. and Tang, B. (1998). Two-level factorial designs with extreme numbers of level changes. Ann. Statist., 26, 1522–1537.

    Article  MathSciNet  MATH  Google Scholar 

  • Fries, A.W. and Hunter, W.G. (1980). Minimum aberration 2k − p designs. Technometrics, 22, 601–608.

    MathSciNet  MATH  Google Scholar 

  • Jacroux, M. (2004). A modified MA criterion for selecting good 2m − k fractional factorial designs. J. Statist. Plann. Inference, 126, 325–336.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, W. and Lin, D.K.J. (2003). Optimal foldover plans for two-level fractional factorial designs. Technometrics, 45, 142–149.

    Article  MathSciNet  Google Scholar 

  • McLeod, R.G. and Brewster, J.F. (2008). Optimal foldover plans for two-level fractional factorial split-plot designs. J. Qual. Technol., 40, 227–246.

    Google Scholar 

  • Meyer, D., Steinberg, D. and Box, G. (1996). Follow-up designs to resolve confounding in multifactor experiments. Technometrics, 38, 303–313.

    Article  MATH  Google Scholar 

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  1. Department of Mathematics, Washington State University, Pullman, WA, 99164, USA

    Mike Jacroux & Bonni Kealy-Dichone

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  1. Mike Jacroux
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  2. Bonni Kealy-Dichone
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Correspondence to Mike Jacroux.

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Jacroux, M., Kealy-Dichone, B. Alternative optimal foldover plans for regular fractional factorial split-plot designs. Sankhya B 75, 343–373 (2013). https://doi.org/10.1007/s13571-013-0063-6

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  • DOI: https://doi.org/10.1007/s13571-013-0063-6

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