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A head-to-head comparative study of the conditional performance of control charts based on estimated parameters

Summary: [This abstract is based on the authors' abstract.] Implementation of the Shewhart, CUSUM, and EWMA charts requires estimates of the in-control process parameters. Many researchers have shown that estimation error strongly influences the performance of these charts. However, a given amount of estimation error may differ in effect across charts. Therefore, we perform a pairwise comparison of the effect of estimation error across these charts. We conclude that the Shewhart chart is more strongly affected by estimation error than the CUSUM and EWMA charts. Furthermore, we show that the general belief that the CUSUM and EWMA charts have similar performance no longer holds under estimated parameters.

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  • Topics: Design of Experiments, Engineering, Statistical Process Control (SPC)
  • Keywords: Comparison, Estimation, Parameters, Cumulative sum control chart (CUSUM), Exponentially weighted moving average control charts (EWMA), Average run length (ARL), Statistical process monitoring
  • Author: Zwetsloot, Inez M.; Woodall, William H.
  • Journal: Quality Engineering