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Quality Control Chart for the Mean using Double Ranked Set Sampling

Author

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  • Mu'azu Abujiya
  • Hassen Muttlak

Abstract

In this paper, an attempt is made to develop Quality Control Charts for monitoring the process mean based on Double Ranked Set Sampling (DRSS) rather than the traditional Simple Random Sampling (SRS). Considering a normal population and several shift values, the performance of the Average Run Length (ARL) of these new charts was compared with the control charts based on Ranked Set Sampling (RSS) and SRS with the same number of observations. It is shown that the new charts do a better job of detecting changes in process mean compared with SRS and RSS.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:31:y:2004:i:10:p:1185-1201
    DOI: 10.1080/0266476042000285549
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    Citations

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    Cited by:

    1. Razmkhah Mansooreh & Ahmadi Jafar & Sadeghpour Gildeh Bahram, 2017. "An Economic Design of Rectifying Double Acceptance Sampling Plans via Maxima Nomination Sampling," Stochastics and Quality Control, De Gruyter, vol. 32(2), pages 99-104, December.
    2. 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.
    3. 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.
    4. Bock, David, 2007. "Consequences of using the probability of a false alarm as the false alarm measure," Research Reports 2007:3, University of Gothenburg, Statistical Research Unit, School of Business, Economics and Law.
    5. David Bock, 2008. "Aspects on the control of false alarms in statistical surveillance and the impact on the return of financial decision systems," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(2), pages 213-227.
    6. 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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