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Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods

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  • Amer Ibrahim Al-Omari
  • Abdul Haq

Abstract

Statistical control charts are widely used in the manufacturing industry. The Shewhart-type control charts are developed to improve the monitoring process mean by using the double quartile-ranked set sampling, quartile double-ranked set sampling, and double extreme-ranked set sampling methods. In terms of the average run length, the performance of the proposed control charts are compared with the existing control charts based on simple random sampling, ranked set sampling and extreme-ranked set sampling methods. An application of real data is also considered to investigate the performance of the suggested process mean control charts. The findings of the study revealed that the newly suggested control charts are superior to the existing counterparts.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:4:p:745-763
    DOI: 10.1080/02664763.2011.611488
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    References listed on IDEAS

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    1. Drikvandi, Reza & Modarres, Reza & Jalilian, Abdullah H., 2011. "A bootstrap test for symmetry based on ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1807-1814, April.
    2. 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.
    3. Al-Omari Amer Ibrahim & Al-Saleh Mohammad Fraiwan, 2009. "Quartile Double Rankled Set Sampling for Estimating the Population Mean," Stochastics and Quality Control, De Gruyter, vol. 24(2), pages 243-253, January.
    4. 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. Muhammad Abid & Hafiz Zafar Nazir & Muhammad Tahir & Muhammad Riaz, 2018. "On designing a new cumulative sum Wilcoxon signed rank chart for monitoring process location," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-18, April.
    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.
    3. 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.

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