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How Reliable is Your Capability Index?

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  • A. F. Bissell

Abstract

Quality engineers use capability (or precision) indices to indicate the extent to which a process or machine can satisfy a specification. Like all other parameter estimates based on sampling, such indices are subject to uncertainty. The paper presents simple but effective approximations for standard errors and confidence intervals for some widely used indices. The presentation covers both American and British/European terminology.

Suggested Citation

  • A. F. Bissell, 1990. "How Reliable is Your Capability Index?," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(3), pages 331-340, November.
    • Handle: RePEc:bla:jorssc:v:39:y:1990:i:3:p:331-340
    DOI: 10.2307/2347383
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    Cited by:

    1. Rendao Ye & Tiefeng Ma & Songgui Wang, 2011. "Generalized confidence intervals for the process capability indices in general random effect model with balanced data," Statistical Papers, Springer, vol. 52(1), pages 153-169, February.
    2. Kuen-Suan Chen & Kung-Jeng Wang & Tsang-Chuan Chang, 2017. "A novel approach to deriving the lower confidence limit of indices , , and in assessing process capability," International Journal of Production Research, Taylor & Francis Journals, vol. 55(17), pages 4963-4981, September.
    3. Pearn, W.L. & Wu, Chien-Wei, 2006. "Production quality and yield assurance for processes with multiple independent characteristics," European Journal of Operational Research, Elsevier, vol. 173(2), pages 637-647, September.
    4. K. Kurian & Thomas Mathew & G. Sebastian, 2008. "Generalized confidence intervals for process capability indices in the one-way random model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(1), pages 83-92, January.
    5. Nien Fan Zhang, 1998. "Estimating process capability indexes for autocorrelated data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(4), pages 559-574.
    6. Hsu, Ya-Chen & Pearn, W.L. & Chuang, Ya-Fei, 2009. "Sample size determination for production yield estimation with multiple independent process characteristics," European Journal of Operational Research, Elsevier, vol. 196(3), pages 968-978, August.
    7. Wang, Ching-Hsin & Chen, Kuen-Suan, 2020. "New process yield index of asymmetric tolerances for bootstrap method and six sigma approach," International Journal of Production Economics, Elsevier, vol. 219(C), pages 216-223.
    8. Chun-Min Yu & Tsun-Hung Huang & Kuen-Suan Chen & Tsung-Yu Huang, 2022. "Construct Six Sigma DMAIC Improvement Model for Manufacturing Process Quality of Multi-Characteristic Products," Mathematics, MDPI, vol. 10(5), pages 1-13, March.

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