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Run Length Variability and Three Sigma Control Limits

Author

Listed:
  • Govindaraju K.

    (Institute of Information Sciences and Technology, Massey University, Palmerston North, New Zealand. k.govindaraju@massey.ac.nz)

  • Lai C. D.

    (Institute of Information Sciences and Technology, Massey University, Palmerston North, New Zealand. c.lai@massey.ac.nz)

Abstract

This article provides an argument against the use of three sigma limits for control charts. An alternative proposal to use control limits narrower than three sigma control limits is made. The main reason for narrowing the control limits is to achieve a smaller variability in the frequency of process resetting as well as false alarms. An example is given illustrating why a good statistical design of control charts needs to avoid the use of three sigma control limits.

Suggested Citation

  • Govindaraju K. & Lai C. D., 2004. "Run Length Variability and Three Sigma Control Limits," Stochastics and Quality Control, De Gruyter, vol. 19(2), pages 175-184, January.
    • Handle: RePEc:bpj:ecqcon:v:19:y:2004:i:2:p:175-184:n:3
    DOI: 10.1515/EQC.2004.175
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    Cited by:

    1. Govindaraju K., 2005. "Statistical Performance of Control Charts," Stochastics and Quality Control, De Gruyter, vol. 20(1), pages 5-20, January.
    2. Govindaraju K. & Zhang Lingyun, 2006. "A Note on Run Length Variability Reduction for EWMA Charting," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 171-181, January.

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