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A New Look at Half-normal Plots for Assessing the Significance of Contrasts for Unreplicated Factorials

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The visual inspection of a half-normal plot is a popular procedure for interpreting data from unreplicated factorial experiments. As this technique is somewhat subjective, the plot should preferably be supplemented with a more formal procedure. However, despite the improvements proposed by Zahn, the formal method using the half-normal plot suggested by Daniel seems to be rarely used. We investigate this procedure by using simulations and real data and suggest a modification to improve its acceptability. We also present corrected critical values for a procedure proposed by Lenth which was found to be miscalibrated.
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Keywords: Daniel plot; Effect sparsity; Fractional factorials; Half-normal plot; Quality improvement; Unreplicated factorials

Document Type: Original Article

Affiliations: 1: Universidad Nacional Autonoma de Mexico, Mexico, 2: University College London, UK

Publication date: 1997-01-01

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