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A New Procedure to Monitor the Mean of a Quality Characteristic

Author

Listed:
  • Kiani, Mehdi
  • Panaretos, John
  • Psarakis, Stelios

Abstract

The Shewhart, Bonferroni-adjustment and analysis of means (ANOM) control chart are typically applied to monitor the mean of a quality characteristic. The Shewhart and Bonferroni procedure are utilized to recognize special causes in production process, where the control limits are constructed by assuming normal distribution for known parameters (mean and standard deviation), and approximately normal distribution regarding to unknown parameters. The ANOM method is an alternative to the analysis of variance method. It can be used to establish the mean control charts by applying equicorrelated multivariate non-central t distribution. In this paper, we establish new control charts, in phases I and II monitoring, based on normal and t distributions having as a cause a known (or unknown) parameter (standard deviation). Our proposed methods are at least as effective as the classical Shewhart methods and have some advantages.

Suggested Citation

  • Kiani, Mehdi & Panaretos, John & Psarakis, Stelios, 2008. "A New Procedure to Monitor the Mean of a Quality Characteristic," MPRA Paper 9066, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:9066
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    File URL: https://mpra.ub.uni-muenchen.de/9066/1/MPRA_paper_9066.pdf
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    References listed on IDEAS

    as
    1. Maravelakis, Petros & Panaretos, John & Psarakis, Stelios, 2002. "Effect of Estimation of the Process Parameters on the Control Limits of the Univariate Control Charts for Process Dispersion," MPRA Paper 6386, University Library of Munich, Germany.
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    Cited by:

    1. Lim, S.L. & Khoo, Michael B.C. & Teoh, W.L. & Xie, M., 2015. "Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated," International Journal of Production Economics, Elsevier, vol. 166(C), pages 20-35.

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    More about this item

    Keywords

    Shewhart; Bonferroni-adjustment; Analysis of means; Average run length; False alarm probability;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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