A Class of Multilevel Nonregular Fractional Factorial Designs for Studying Quantitative Factors
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Nonregular fractional factorial designs can have better properties than regular designs, but their construction is challenging. Current research on the construction of nonregular designs focuses on two-level designs. We construct a novel class of multilevel nonregular designs by permuting levels of regular designs via the Williams transformation. The constructed designs can reduce contamination of nonnegligible interactions on the estimations of linear effects without increasing the run size. They are more efficient than regular designs for studying quantitative factors.
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