Alternative Designs of the Hodges-Lehmann Control Chart

Article

Pappanastos, Edward A.; Adams, Benjamin M.   (1996, ASQC)   Alabama State University, Montgomery, AL; University of Alabama, Tuscaloosa, AL

Journal of Quality Technology    Vol. 28    No. 2
QICID: 11451    April 1996    pp. 213-223
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Article Abstract

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.

Keywords

Statistical process control (SPC),Average run length (ARL),Control charts


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