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A Comparison of the Modified Likelihood-Ratio-Test-Based Shewhart and EWMA Control Charts for Monitoring Binary Profiles

In: The 19th International Conference on Industrial Engineering and Engineering Management

Author

Listed:
  • Chao Yin

    (Beijing University of Aeronautics and Astronautics, BUAA)

  • Yihai He

    (Beijing University of Aeronautics and Astronautics, BUAA)

  • Zhen Shen

    (Beijing University of Aeronautics and Astronautics, BUAA)

  • Chun-hui Wu

    (Beijing University of Aeronautics and Astronautics, BUAA)

Abstract

Profile monitoring is used to check and evaluate the stability of the functional relationship between a response variable and one or more explanatory variables known as profile over time. Many studies assume that the response variable follows a continuous and normal distribution, while in fact it could be discrete, for example binary profiles. However, at present, there are few researches in this field. Based on an in-control binary dataset, this paper uses the logistic regression model to estimate the parameters in Phase I. And in Phase II, we apply bi-sectional search method to modifying the UCL’s calculation of the likelihood-ratio-test-based Shewhart and EWMA control charts. Moreover, according to the estimated parameters, ARL’s performances of the two modified control charts under different parameters’ deviation are compared.

Suggested Citation

  • Chao Yin & Yihai He & Zhen Shen & Chun-hui Wu, 2013. "A Comparison of the Modified Likelihood-Ratio-Test-Based Shewhart and EWMA Control Charts for Monitoring Binary Profiles," Springer Books, in: Ershi Qi & Jiang Shen & Runliang Dou (ed.), The 19th International Conference on Industrial Engineering and Engineering Management, edition 127, chapter 0, pages 23-29, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-38391-5_3
    DOI: 10.1007/978-3-642-38391-5_3
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