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Estimating process capability indexes for autocorrelated data

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  • Nien Fan Zhang

Abstract

Process capability indexes are widely used in the manufacturing industries and by supplier companies in process assessments and in the evaluation of purchasing decisions. One concern about using the process capability indexes is the assumption of the mutual independence of the process data, because, in process industries, process data are often autocorrelated. This paper discusses the use of the process capability indexes Cp and Cpk when the process data are autocorrelated. Interval estimation procedures for Cp and Cpk are proposed and their properties are studied.

Suggested Citation

  • Nien Fan Zhang, 1998. "Estimating process capability indexes for autocorrelated data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(4), pages 559-574.
    • Handle: RePEc:taf:japsta:v:25:y:1998:i:4:p:559-574
    DOI: 10.1080/02664769823025
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Sueli Mingoti & Julia De Carvalho & Joab De Oliveira Lima, 2008. "On the estimation of serial correlation in Markov-dependent production processes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(7), pages 763-771.
    2. Sueli Mingoti & Otaviano Neves, 2003. "A note on the Zhang omnibus test for normality based on the Q statistic," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 335-341.
    3. Michele Scagliarini, 2010. "Inference on Cpk for autocorrelated data in the presence of random measurement errors," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(1), pages 147-158.
    4. Mohammed Z. Anis, 2008. "Basic Process Capability Indices: An Expository Review," International Statistical Review, International Statistical Institute, vol. 76(3), pages 347-367, December.
    5. Boby John & K. K. Chowdhury, 2021. "Minimizing the Dry Content Variation in the Pulp Drying Process Using Six Sigma Methodology," SN Operations Research Forum, Springer, vol. 2(4), pages 1-21, December.

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