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

Chao Yin (), Yihai He, Zhen Shen and Chun-hui Wu
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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

Chapter Chapter 3 in The 19th International Conference on Industrial Engineering and Engineering Management, 2013, pp 23-29 from Springer

Abstract: 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.

Keywords: Binary profile; Logistic regression model; Bi-sectional search; ARL (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-38391-5_3

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