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Alternative Designs of the Hodges-Lehmann Control Chart

Summary: The Hodges-Lehmann control chart was proposed as a nonparametric alternative to the classical control chart. The proposed technique for establishing control limits produces control charts with in-control average run lengths (ARL~s) quite different from the anticipated ARL~s. In this paper two alternative methods for obtaining a Hodges-Lehmann control chart with a specific ARL~ are provided. The first alternative modifies the statistic plotted. A numerical example of the three control charts is provided. The alternative control charts and the control chart are compared in their robustness to changes in distributional form.

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  • Topics: Statistical Process Control (SPC)
  • Keywords: Statistical process control (SPC),Average run length (ARL),Control charts
  • Author: Pappanastos, Edward A.; Adams, Benjamin M.
  • Journal: Journal of Quality Technology