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QICID: 20766

Title: Effects of Parameter Estimation on Control Chart Properties; A Literature Review

Copyright: 2006, ASQ
Author: Jensen, Willis A.; Jones-Farmer, L. Allison; Champ, Charles W.; Woodall, William H.
Organization: W.L. Gore & Associates, Inc., Flagstaff, AZ; Auburn University, Auburn, AL; Georgia Southern University, Statesboro, GA; Virginia Polytechnic Institute and State University, Blacksburg, VA
Subject: Average run length (ARL),Control charts,Estimation,Parameters,Reviews,Run length,Sample size,Shewhart control chart,Statistical process control (SPC);
Series: Journal of Quality Technology, Vol. 38, No. 4, October 2006, pp. 349-364

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Abstract: [This abstract is based on the authors' abstract.]Control chart limits are often calculated using parameter estimates from an in-control Phase I reference sample. In Phase II monitoring, statistics based on new samples are compared with the estimated control limits to monitor for departures from the in-control state. Many studies to evaluate control chart performance in Phase II assume that in-control parameters are known, although it is known that additional variability introduced through parameter estimation affects the performance of the chart. A review of the literature is given that considers the effect of parameter estimation on control chart properties. Recommendations and ideas for future research are given.

Number of pages: 16
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