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The RL2 chart versus the np chart for detecting upward shifts in fraction defective

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  • Patrick Bourke

Abstract

The use of the np chart for monitoring fraction-defective is well-established, but there are a number of relatively simple alternatives based on run-lengths of conforming items. Here, the RL2 chart, based on the moving sum of two successive conforming run-lengths, is investigated in order to provide SPC practitioners with clear-cut guidance on the comparative performance of these competing charts. Both sampling inspection and 100% inspection are considered here, and it is shown that the RL2 chart can often be considerably more efficient than the np chart, but the comparative performance depends on the false-alarm rate used for the comparison. Graphs to aid parameter-choice for the RL2 chart are also provided.

Suggested Citation

  • Patrick Bourke, 2006. "The RL2 chart versus the np chart for detecting upward shifts in fraction defective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(1), pages 1-15.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:1:p:1-15
    DOI: 10.1080/02664760500389400
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    References listed on IDEAS

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    1. Patrick Bourke, 2001. "The geometric CUSUM chart with sampling inspection for monitoring fraction defective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(8), pages 951-972.
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    Cited by:

    1. Willem Albers, 2011. "Control charts for health care monitoring under overdispersion," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(1), pages 67-83, July.
    2. Tim Roughgarden, 2010. "Computing equilibria: a computational complexity perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.
    3. Qu, Liang & Wu, Zhang & Khoo, Michael B.C. & Castagliola, Philippe, 2013. "A CUSUM scheme for event monitoring," International Journal of Production Economics, Elsevier, vol. 145(1), pages 268-280.
    4. Bersimis, Sotiris & Koutras, Markos V. & Maravelakis, Petros E., 2014. "A compound control chart for monitoring and controlling high quality processes," European Journal of Operational Research, Elsevier, vol. 233(3), pages 595-603.

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