Shewhart-Type Charts for Percentiles of Strength Distributions

Article

Padgett, W.J.; Spurrier, John   (1990, ASQC)   University of South Carolina

Journal of Quality Technology    Vol. 22    No. 4
QICID: 11272    October 1990    pp. 283-288
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Article Abstract

The problem of detecting a shift of a percentile of a strength distribution in a quality control setting is considered. Shewhart-type charts for lower percentiles are developed based on small samples. Lower and upper control limits for "percentile charts" for Weibull (extreme-value) and lognormal (normal) distributions which were obtained by Monte Carlo simulations are presented. Average run lengths of the Weibull percentile charts and the relationships between them and R charts for Weibull data are also investigated. An application to the breaking stress of carbon fibers is presented to illustrate the methods.

Keywords

Average run length (ARL),Control limits,Weibull analysis,Shewhart control chart,Lognormal distribution


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