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Normal control charts with nonparametric safeguard

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  • Willem Albers
  • Wilbert C. M. Kallenberg

Abstract

Parameter estimation causes a considerable stochastic error in standard Shewhart charts. This problem can be solved using suitable correction factors. However, if the normality assumption itself fails, in addition a non‐vanishing model error occurs. By then, a nonparametric alternative, such as the recently proposed MIN chart, might be a better idea throughout. However, for those reluctant to give up on the Shewhart chart, a third possibility is offered here. One sticks with this traditional chart as long as the data suggest that the resulting model error is acceptable. Only if this is not the case, the MIN chart kicks in and as such serves as a nonparametric safeguard.

Suggested Citation

  • Willem Albers & Wilbert C. M. Kallenberg, 2009. "Normal control charts with nonparametric safeguard," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(1), pages 63-81, February.
    • Handle: RePEc:bla:stanee:v:63:y:2009:i:1:p:63-81
    DOI: 10.1111/j.1467-9574.2008.00409.x
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    References listed on IDEAS

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    1. Willem Albers & Wilbert Kallenberg, 2004. "Empirical Non-Parametric Control Charts: Estimation Effects and Corrections," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(3), pages 345-360.
    2. Willem Albers & Wilbert C. M. Kallenberg, 2006. "Self‐adapting control charts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(3), pages 292-308, August.
    3. Willem Albers & Wilbert C.M. Kallenberg, 2006. "Alternative Shewhart-type charts for grouped observations," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 357-375.
    4. S. Chakraborti & P. van der Laan & M. A. van de Wiel, 2004. "A class of distribution‐free control charts," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(3), pages 443-462, August.
    5. Willem Albers & Wilbert C.M. Kallenberg, 2004. "Estimation in Shewhart control charts: effects and corrections," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(3), pages 207-234, June.
    Full references (including those not matched with items on IDEAS)

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