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A Distribution-Free Shewhart Quality Control Chart Based on Signed-Ranks

Summary: [This abstract is based on the author's abstract.] Since the inception of control charts in the 1920s, most control chart developments have been distribution-based procedures, but due to their widespread use in total quality management, they have been applied to processes that are distinctly nonnormal. A distribution-free, Shewhart-type statistical quality control chart based on the signed-ranks of grouped observations is proposed for monitoring a process center. Studies show the proposed chart is more efficient than the traditional Shewhart X-bar chart under heavy-tailed distributions, but less efficient under light-tailed distributions.

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  • Topics:
  • Keywords: Average run length (ARL),Control scheme,False alarm rate (FAR),Wilcoxon signed rank statistic,Outliers,Robust design,Shewhart control chart,Nonparametric methods
  • Author: Bakir, Saad T.
  • Journal: Quality Engineering