Critical Values of the Lenth Method for Unreplicated Factorial Designs

Article

Ye, Kenny Q.; Hamada, Michael   (2000, ASQ)   State University of New York at Stony Brook, NY; Los Alamos National Lab, Los Alamos, NM

Journal of Quality Technology    Vol. 32    No. 1
QICID: 13860    January 2000    pp. 57-66
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Article Abstract

[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.

Keywords

Statistical tests,Factorial experiments,Design of experiments (DOE)


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