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Critical Values of the Lenth Method for Unreplicated Factorial Designs

Summary: [This abstract is based on the authors' abstract.] Lenth statistics are computed for factorial effects and compared to corresponding critical values. (The Lenth method is an objective method for testing effects from unreplicated factorial designs. It eliminates the subjectivity of half-normal plots.) Since the distribution of Lenth statistics is not mathematically tractable, a simple simulation method is proposed to estimate the critical values. Confidence intervals for the estimated critical values also can be obtained. Tables of critical values are provided for a large number of designs, and their use is demonstrated with data from three experiments. The proposed method can be adapted to critical values estimation in other methods.

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  • Topics: Design of Experiments
  • Keywords: Statistical tests,Factorial experiments,Design of experiments (DOE)
  • Author: Ye, Kenny Q.; Hamada, Michael
  • Journal: Journal of Quality Technology