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Monitoring process mean level using auxiliary information

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  • Muhammad Riaz

Abstract

In this study, a Shewhart‐type control chart is proposed for the improved monitoring of process mean level (targeting both moderate and large shifts which is the major concern of Shewhart‐type control charts) of a quality characteristic of interest Y. The proposed control chart, namely the Mr chart, is based on the regression estimator of mean using a single auxiliary variable X. Assuming bivariate normality of (Y, X), the design structure of Mr chart is developed for phase I quality control. The comparison of the proposed chart is made with some existing control charts used for the same purpose. Using power curves as a performance measure, better performance of the proposedMr chart is observed for detecting the shifts in mean level of the characteristic of interest.

Suggested Citation

  • Muhammad Riaz, 2008. "Monitoring process mean level using auxiliary information," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(4), pages 458-481, November.
    • Handle: RePEc:bla:stanee:v:62:y:2008:i:4:p:458-481
    DOI: 10.1111/j.1467-9574.2008.00390.x
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    References listed on IDEAS

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    1. Willem Albers & Wilbert C. M. Kallenberg, 2006. "Self‐adapting control charts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(3), pages 292-308, August.
    2. Muhammad Riaz, 2008. "Monitoring process variability using auxiliary information," Computational Statistics, Springer, vol. 23(2), pages 253-276, April.
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    Cited by:

    1. Muhammad Aslam & Nasrullah Khan & Chi-Hyuck Jun, 2016. "A control chart using belief information for a gamma distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(4), pages 5-19.
    2. Jen-Hsiang Chen & Shin-Li Lu, 2022. "Economic-Statistical Performance of Auxiliary Information-Based Maximum EWMA Charts for Monitoring Manufacturing Processes," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    3. Shahid Hussain & Sun Mei & Muhammad Riaz & Saddam Akber Abbasi, 2020. "On Phase-I Monitoring of Process Location Parameter with Auxiliary Information-Based Median Control Charts," Mathematics, MDPI, vol. 8(5), pages 1-21, May.
    4. Mehwish Butt & Hafiza Farwa Amin & Javed Iqbal & Maqbool Hussain Sial & Najam-ul Hassan & Mueen-ud-Din Azad, 2023. "Homogeneously Weighted Moving Average Control Chart for Rayleigh Distribution," Bulletin of Business and Economics (BBE), Research Foundation for Humanity (RFH), vol. 12(3), pages 366-384.
    5. Muhammad Riaz & Ronald Does, 2009. "A process variability control chart," Computational Statistics, Springer, vol. 24(2), pages 345-368, May.
    6. Peh Sang Ng & Wai Chung Yeong & Sajal Saha & Sok Li Lim & Wai Kwan Lau, 2024. "Auxiliary information based HEWMA chart using variable sampling interval," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(5), pages 4301-4329, October.

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