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Blocked semifoldovers of two-level orthogonal designs

Author

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  • Po Yang
  • Chang-Yun Lin
  • William Li

Abstract

Follow-up experimentation is often necessary to the successful use of fractional factorial designs. When some effects are believed to be significant but cannot be estimated using an initial design, adding another fraction is often recommended. As the initial design and its foldover (or semifoldover) are usually conducted at different stages, it may be desirable to include a block factor. In this article, we study the blocking effect of such a factor on foldover and semifoldover designs. We consider two general cases for the initial designs, which can be either unblocked or blocked designs. In both cases, we explore the relationships between semifoldover of a design and its corresponding foldover design. More specifically, we obtain some theoretical results on when a semifoldover design can estimate the same two-factor interactions or main effects as the corresponding foldover. These results can be important for those who want to take advantage of the run size savings of a semifoldover without sacrificing the ability to estimate important effects. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Po Yang & Chang-Yun Lin & William Li, 2015. "Blocked semifoldovers of two-level orthogonal designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(5), pages 529-548, July.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:5:p:529-548
    DOI: 10.1007/s00184-014-0514-8
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    Cited by:

    1. Wenlong Li & Bing Guo & Hengzhen Huang & Min-Qian Liu, 2021. "Semifoldover plans for three-level orthogonal arrays with quantitative factors," Statistical Papers, Springer, vol. 62(6), pages 2691-2709, December.
    2. Po Yang & William Li, 2019. "Some properties of foldover designs with column permutations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 705-717, August.

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