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Effects of correlation on fraction non-conforming statistical process control procedures

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  • C. D. Lai
  • K. Govindaraju
  • M. Xie

Abstract

High-yield production processes that involve a low fraction non-conforming are becoming more common, and the limitations of the standard control charting procedures for such processes are well known. This paper examines the control procedures based on the conforming unit run lengths applied to near-zero-defect processes in the presence of serial correlation. Using a correlation binomial model, a few control schemes are investigated and control limits are derived. The results reduce to the traditional case when the measurements are independent. However, it is shown that the false alarm rate cannot be reduced to below the amount of serial correlation present in the process.

Suggested Citation

  • C. D. Lai & K. Govindaraju & M. Xie, 1998. "Effects of correlation on fraction non-conforming statistical process control procedures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(4), pages 535-543.
    • Handle: RePEc:taf:japsta:v:25:y:1998:i:4:p:535-543
    DOI: 10.1080/02664769823007
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    References listed on IDEAS

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    1. Layth C. Alwan & Harry V. Roberts, 1995. "The Problem of Misplaced Control Limits," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 44(3), pages 269-278, September.
    2. Patricia M. E. Altham, 1978. "Two Generalizations of the Binomial Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(2), pages 162-167, June.
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    Cited by:

    1. Y. Samimi & A. Aghaie, 2010. "Monitoring heterogeneous serially correlated usage behavior in subscription-based services," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(10), pages 1761-1777.
    2. Sueli Mingoti, 2003. "A note on the sample size required in sequential tests for the generalized binomial distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(8), pages 873-879.

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