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Basic Process Capability Indices: An Expository Review

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  • Mohammed Z. Anis

Abstract

A review of the four basic process capability indices has been made. The interrelationship among these indices has been highlighted. Attention has been drawn to their drawbacks. The relation of these indices to the proportion nonconforming has been dwelt upon and the requirement of the adequate sample size has been emphasized. Cautionary remarks on the use of these indices in the case of nonnormal distributions, skewed distributions, and autocorrelated data are also presented. The effect of measurement error on process capability indices has been dealt with in great detail. Une revue des quatre index de capacité de procédé fondamentaux a été faite. L'inter‐relation entre ces index a été soulignée. L'attention a été dessinée à leurs inconvénients. La relation de ces index au nonconformer de proportion a été demeurée sur et la condition de la taille d'échantillon suffisante a été soulignée. Les remarques d'avertissement sur l'usage de ces index dans le cas de distributions nonnormaux, les distributions déformés et les données d'auto‐correspondu sont aussi présentés. L'effet d'erreur de mesure sur les index de capacité de procédé a été traité dans les moindres détails.

Suggested Citation

  • Mohammed Z. Anis, 2008. "Basic Process Capability Indices: An Expository Review," International Statistical Review, International Statistical Institute, vol. 76(3), pages 347-367, December.
    • Handle: RePEc:bla:istatr:v:76:y:2008:i:3:p:347-367
    DOI: 10.1111/j.1751-5823.2008.00060.x
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    References listed on IDEAS

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    1. Pearn, W.L. & Hsu, Ya-Chen, 2007. "Optimal tool replacement for processes with low fraction defective," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1116-1129, August.
    2. K. Palmer & K.-L. Tsui, 1999. "A review and interpretations of process capability indices," Annals of Operations Research, Springer, vol. 87(0), pages 31-47, April.
    3. Nien Fan Zhang, 1998. "Estimating process capability indexes for autocorrelated data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(4), pages 559-574.
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    Cited by:

    1. Sanku Dey & Mahendra Saha & M. Z. Anis & Sudhansu S. Maiti & Sumit Kumar, 2023. "Estimation and confidence intervals of $$C_{Np}(u,v)$$ C Np ( u , v ) for logistic-exponential distribution with application," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 431-446, March.
    2. Sanku Dey & Vikas Kumar Sharma & M. Z. Anis & Babita Yadav, 2017. "Assessing lifetime performance index of Weibull distributed products using progressive type II right censored samples," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 318-333, June.

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