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 X̄ 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 X̄-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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Takazi Kanazuka (1986) studied this question.
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