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Designing Control Charts Using an Empirical Reference Distribution

Summary: We address a problem of increasing practical interest: control charting in the absence of an assumed normal distribution. We analyze the sampling uncertainties inherent in selecting control limits from the empirical distribution of a large sample of whatever statistic is to be charted. We then relate the selections of the number of preliminary observations and control limits to on-target and off-target performance measures. The methodology is nonparametric, requiring only that the plotted statistics be independent and come from the same distribution.

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  • Topics: Statistical Process Control (SPC)
  • Keywords: Average run length (ARL),Distribution-free procedures,Statistical process control (SPC),Shewhart control chart,Order statistics
  • Author: Willemain, Thomas R.; Runger, George C.
  • Journal: Journal of Quality Technology