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

Summary: [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.

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  • Topics: Sampling, Statistical Process Control (SPC)
  • Keywords: Average run length (ARL),Control charts,Estimation,Parameters,Reviews,Run length,Sample size,Shewhart control chart,Statistical process control (SPC)
  • Author: Jensen, Willis A.; Jones-Farmer, L. Allison; Champ, Charles W.; Woodall, William H.
  • Journal: Journal of Quality Technology