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A Study on the Construction and Analysis of Fractional Designs by Using Arrays for Factorial Experiments

배열을 이용한 효과적인 일부실시법의 설계 및 분석방법에 관한 연구

  • 김상익 (건국대학교 상경대학 응용통계학과)
  • Received : 2011.12.02
  • Accepted : 2012.01.09
  • Published : 2012.03.31

Abstract

For the construction of fractional factorial designs, the various arrays can be widely used. In this paper we review the statistical properties of fractional designs constructed by two arrays such as orthogonal array and partially balanced array, and develop a quick and easy method for analyzing unreplicated saturated designs. The proposed method can be characterized that we control the error rate by experiment-wise way and exploit the multivariate Student $t$-distribution. Especially the proposed method can be used efficiently together with some exploratory analysis methods, such as half normal probability plot method.

Keywords

References

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