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

Virtue U. Ekhosuehi, Daniel O. Iruegbukpe and Julian I. Mbegbu

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 8, 1868-1881

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.

Date: 2018
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DOI: 10.1080/03610926.2017.1328513

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