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On the Distribution of the Usual Estimator of C and Some Applications in SPC

Summary: [This abstract is based on the authors' abstract.] A derivation of the distribution of C(pk) for a normally distributed quality characteristic is proposed. The formula is based on the folded normal distribution when the sample mean and the sample standard deviation are independent. The resulting formula can be implemented in any modern math package. The ARL performance of a control chart based on C(pk) is compared with the performance of X-bar and R charts.

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  • Topics: Statistical Process Control (SPC)
  • Keywords: Average run length (ARL), Process capability index (Cpk), Process capability (Cp), Statistical process control (SPC)
  • Author: Novoa, Clara; Artiles-Leon, Noel
  • Journal: Quality Engineering