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Effect of Measurement Error on Shewhart Control Charts

Summary: [This abstract is based on the authors' abstract. A longer abstract is available on the journal's website.]

Measurement error has been shown to reduce the ability to detect a given change in the mean or variance of a quality characteristic. The effect of measurement error on the performance of X-bar and S(2) charts using a linear covariate is investigated. The loss of power in detecting parameter shifts in the underlying process variable due to measurement error makes it desirable to take multiple measurements for each of the items in a subgroup. A cost model for selection of an optimal sampling plan is described. Also investigated is a model involving measurement error variance that is a linearly increasing function of the process mean.

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  • Topics:
  • Keywords: X-bar control charts,Measurement error,Covariance,Cost management
  • Author: Linna, Kenneth W.; Woodall, William H.
  • Journal: Journal of Quality Technology