IDEAS home Printed from https://ideas.repec.org/a/bla/stanee/v62y2008i4p458-481.html
   My bibliography  Save this article

Monitoring process mean level using auxiliary information

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9574.2008.00390.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9574.2008.00390.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Muhammad Riaz & Ronald Does, 2009. "A process variability control chart," Computational Statistics, Springer, vol. 24(2), pages 345-368, May.
    3. 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.
    4. 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.
    5. 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.
    6. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Willem Albers & Wilbert C. M. Kallenberg, 2009. "Normal control charts with nonparametric safeguard," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(1), pages 63-81, February.
    2. Muhammad Riaz & Ronald Does, 2009. "A process variability control chart," Computational Statistics, Springer, vol. 24(2), pages 345-368, May.
    3. Axel Gandy & Jan Terje Kvaløy, 2013. "Guaranteed Conditional Performance of Control Charts via Bootstrap Methods," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(4), pages 647-668, December.
    4. Rashid Mehmood & Muhammad Riaz & Ronald Does, 2013. "Efficient power computation for r out of m runs rules schemes," Computational Statistics, Springer, vol. 28(2), pages 667-681, April.
    5. Willem Albers & Wilbert C.M. Kallenberg, 2006. "Alternative Shewhart-type charts for grouped observations," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 357-375.
    6. Ahmad, Shabbir & Riaz, Muhammad & Abbasi, Saddam Akber & Lin, Zhengyan, 2013. "On monitoring process variability under double sampling scheme," International Journal of Production Economics, Elsevier, vol. 142(2), pages 388-400.
    7. Luiz M A Lima-Filho & Tarciana Liberal Pereira & Tatiene C Souza & Fábio M Bayer, 2020. "Process monitoring using inflated beta regression control chart," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-20, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:stanee:v:62:y:2008:i:4:p:458-481. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0039-0402 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.