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A new Shewhart control chart for monitoring process mean based on partially ordered judgment subset sampling

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  • Abdul Haq
  • Amer Al-Omari

Abstract

In this paper, we propose a new improved Shewhart control chart for monitoring the process mean based on partially ordered judgment subset sampling design. The performance of the suggested control chart is compared with some of the existing control charts based on simple random sampling and ranked set sampling methods. Average, standard deviation and percentiles of the run lengths are used to evaluate the performances of the control charts. It is observed that the proposed control chart is efficient in detecting random shifts in process mean as compared with the traditional quality control charts. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Abdul Haq & Amer Al-Omari, 2015. "A new Shewhart control chart for monitoring process mean based on partially ordered judgment subset sampling," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 1185-1202, May.
    • Handle: RePEc:spr:qualqt:v:49:y:2015:i:3:p:1185-1202
    DOI: 10.1007/s11135-014-0042-7
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    References listed on IDEAS

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    1. Amer Ibrahim Al-Omari & Abdul Haq, 2012. "Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 745-763, August.
    2. Al-Omari Amer Ibrahim & Al-Nasser Amjad D., 2011. "Statistical Quality Control Limits for the Sample Mean Chart Using Robust Extreme Ranked Set Sampling," Stochastics and Quality Control, De Gruyter, vol. 26(1), pages 73-89, January.
    3. Hassen Muttlak & Walid Al-Sabah, 2003. "Statistical quality control based on ranked set sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(9), pages 1055-1078.
    4. Mu'azu Abujiya & Hassen Muttlak, 2004. "Quality Control Chart for the Mean using Double Ranked Set Sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(10), pages 1185-1201.
    5. Omer Ozturk, 2010. "Nonparametric maximum-likelihood estimation of within-set ranking errors in ranked set sampling," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(7), pages 823-840.
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    Cited by:

    1. Zeinab Akbari Ghamsari & Ehsan Zamanzade & Majid Asadi, 2024. "Using nomination sampling in estimating the area under the ROC curve," Computational Statistics, Springer, vol. 39(5), pages 2721-2742, July.
    2. Fatimah Alshahrani & Ibrahim M. Almanjahie & Majid Khan & Syed M. Anwar & Zahid Rasheed & Ammara N. Cheema, 2023. "On Designing of Bayesian Shewhart-Type Control Charts for Maxwell Distributed Processes with Application of Boring Machine," Mathematics, MDPI, vol. 11(5), pages 1-20, February.

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