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Measurement error effect on the CUSUM control chart

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  • Petros E. Maravelakis

Abstract

The performance of the cumulative sum (CUSUM) control chart for the mean when measurement error exists is investigated. It is shown that the CUSUM chart is greatly affected by the measurement error. A similar result holds for the case of the CUSUM chart for the mean with linearly increasing variance. In this paper, we consider multiple measurements to reduce the effect of measurement error on the charts performance. Finally, a comparison of the CUSUM and EWMA charts is presented and certain recommendations are given.

Suggested Citation

  • Petros E. Maravelakis, 2012. "Measurement error effect on the CUSUM control chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(2), pages 323-336, May.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:2:p:323-336
    DOI: 10.1080/02664763.2011.590188
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    References listed on IDEAS

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    1. Petros Maravelakis & John Panaretos & Stelios Psarakis, 2004. "EWMA Chart and Measurement Error," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(4), pages 445-455.
    2. Hans-Joachim Mittag & Dietmar Stemann, 1998. "Gauge imprecision effect on the performance of the X-S control chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(3), pages 307-317.
    3. Antonio F. B. Costa & Philippe Castagliola, 2011. "Effect of measurement error and autocorrelation on the X¯ chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(4), pages 661-673, December.
    4. Dietmar Stemann & Claus Weihs, 2001. "The EWMA-X-S-control chart and its performance in the case of precise and imprecise data," Statistical Papers, Springer, vol. 42(2), pages 207-223, April.
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    Cited by:

    1. K.P. Tran & P. Castagliola & G. Celano, 2016. "The performance of the Shewhart-RZ control chart in the presence of measurement error," International Journal of Production Research, Taylor & Francis Journals, vol. 54(24), pages 7504-7522, December.
    2. Chakraborty Ashit B. & Khurshid Anwer, 2013. "Measurement Error Effect on the Power of Control Chart for the Ratio of Two Poisson Distributions," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 15-21, October.
    3. XueLong Hu & Philippe Castagliola & JinSheng Sun & Michael Boon Chong Khoo, 2016. "Effect of measurement errors on the VSI X chart," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 224-242.
    4. Muhammad Riaz & Babar Zaman & Ishaq Adeyanju Raji & M. Hafidz Omar & Rashid Mehmood & Nasir Abbas, 2022. "An Adaptive EWMA Control Chart Based on Principal Component Method to Monitor Process Mean Vector," Mathematics, MDPI, vol. 10(12), pages 1-27, June.
    5. Suh, Jong Hwan, 2015. "Forecasting the daily outbreak of topic-level political risk from social media using hidden Markov model-based techniques," Technological Forecasting and Social Change, Elsevier, vol. 94(C), pages 115-132.

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