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Ordinal profile monitoring with random explanatory variables

Author

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  • Dong Ding
  • Fugee Tsung
  • Jian Li

Abstract

Profiles characterise the functional relationship between the response variable and one or more explanatory variables and have been playing an important role in many applications. Profile monitoring mainly aims at checking the stability of this relationship. In many situations, we observe that the response variable is categorical with three or more attribute levels, and that there is natural order among the levels. Moreover, the explanatory variables are also random rather than fixed at some predefined values. To fully exploit the ordinal information, it is assumed that there is an unknown latent continuous distribution determining the levels of the ordinal response. Based on this, we propose a novel control chart for jointly monitoring the functional relationship, location shifts in the latent continuous distribution, and the random explanatory variables. Simulation results show that our proposed chart is efficient in detecting abnormalities and is robust to various latent distributions.

Suggested Citation

  • Dong Ding & Fugee Tsung & Jian Li, 2017. "Ordinal profile monitoring with random explanatory variables," International Journal of Production Research, Taylor & Francis Journals, vol. 55(3), pages 736-749, February.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:3:p:736-749
    DOI: 10.1080/00207543.2016.1204476
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    References listed on IDEAS

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    1. Arthur Yeh & Longcheen Huwang & Yu-Mei Li, 2009. "Profile monitoring for a binary response," IISE Transactions, Taylor & Francis Journals, vol. 41(11), pages 931-941.
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    Cited by:

    1. Unarine Netshiozwi & Ali Yeganeh & Sandile Charles Shongwe & Ahmad Hakimi, 2023. "Data-Driven Surveillance of Internet Usage Using a Polynomial Profile Monitoring Scheme," Mathematics, MDPI, vol. 11(17), pages 1-23, August.
    2. Ali Yeganeh & Mahdi Parvizi Amineh & Alireza Shadman & Sandile Charles Shongwe & Seyed Mojtaba Mohasel, 2023. "Combination of Sequential Sampling Technique with GLR Control Charts for Monitoring Linear Profiles Based on the Random Explanatory Variables," Mathematics, MDPI, vol. 11(7), pages 1-21, March.

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