Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Study on Projection Properties of the 12-Run Plackett-Burman Design

  • Park, Dong-Kwon (Associated professor Department of Statistics Yonsei University)
  • Published : 1999.12.01
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Abstract

Non-regular designs such as the Plackett-Burman(PB) design have traditionally been used for screening only main effects because of complex aliasing. But it was found that these designs could be used to estimate the 2-factor interactions as well as main effects through the hidden projection property. The goal of this paper is to propose the estimable model when projecting the 12-run PB design using the algebraic geometric method. The core of this method considers the design as a affine variety and the Grbner basis of the design ideal for this affine variety gives the estimable polynomial models. As the results of applying the 12-run PB design it is actually found that this design has the models not only with 2-factor interactions but with 3-factor. This design is the maximal fan in 4-factor projection.

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References

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