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The Effect of Measurement Error on the Power of X-R Charts

Summary: The effect of measurement error on the power of a control chart is examined for the case where both the process average and variance can change. Expressions for the power of the X-bar and R charts are derived. It is shown that if the measurement error is relatively large in comparison to the inherent process error, then the power of the X-bar-R chart is reduced and the sample size should be increased to recover the lost power. The sample size needed to obtain a desired power level can be calculated.

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  • Topics:
  • Keywords: Control charts,Measurement error,Power of tests
  • Author: Kanazuka, Takazi
  • Journal: Journal of Quality Technology