Designing Control Charts Using an Empirical Reference Distribution

Article

Willemain, Thomas R.; Runger, George C.   (1996, ASQC)   Rensselaer Polytechnic Institute, Troy, NY; University of Maryland, College Park, MD

Journal of Quality Technology    Vol. 28    No. 1
QICID: 11434    January 1996    pp. 31-38
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Article Abstract

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.

Keywords

Average run length (ARL),Distribution-free procedures,Statistical process control (SPC),Shewhart control chart,Order statistics


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