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Minimum aberration criterion for screening experiments at two levels from an entropy-based perspective

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  • Virtue U. Ekhosuehi
  • Daniel O. Iruegbukpe
  • Julian I. Mbegbu

Abstract

This paper presents a new criterion for selecting a two-level fractional factorial design. The theoretical underpinning for the criterion is the Shannon entropy. The criterion, which is referred to as the entropy-based minimum aberration criterion, has several advantages. The advantage of the entropy-based criterion over the classical minimum aberration criterion is that it utilizes a measure of uncertainty on the skewness of the distribution of word length patterns in the selection of the “best” design in a family of two-level fractional factorial plans. The criterion evades the trauma associated with the lack of prior knowledge on the important effects.

Suggested Citation

  • Virtue U. Ekhosuehi & Daniel O. Iruegbukpe & Julian I. Mbegbu, 2018. "Minimum aberration criterion for screening experiments at two levels from an entropy-based perspective," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(8), pages 1868-1881, April.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:8:p:1868-1881
    DOI: 10.1080/03610926.2017.1328513
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