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Estimating the change point of binary profiles in phase II

Author

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  • Alireza Sharafi
  • Majid Aminnayeri
  • Amirhossein Amiri

Abstract

Identifying the real time change in a process, when an out-of-control signal is given by a control chart is crucial and leads to cost and time savings significantly. There are processes or products whose quality is described by a relationship between a response variable and one or more explanatory variable. This relationship is known as profile in the literature of statistical process control and is modelled by different regression types including logistic regression. This type of profile is used where the response variable follows a binomial distribution. In this paper, a maximum likelihood estimator (MLE) based on regression parameters is developed to find the real time of a step change in logistic regression profiles. Simulation studies are provided to evaluate the performance of the proposed change point estimator under both single step change and linear trend change.

Suggested Citation

  • Alireza Sharafi & Majid Aminnayeri & Amirhossein Amiri, 2014. "Estimating the change point of binary profiles in phase II," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 14(3), pages 336-351.
  • Handle: RePEc:ids:ijpqma:v:14:y:2014:i:3:p:336-351
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    Cited by:

    1. Ali Ghazizadeh & Mehrdad Sarani & Mahdi Hamid & Ahmad Ghasemkhani, 2023. "Detecting and estimating the time of a single-step change in nonlinear profiles using artificial neural networks," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 74-86, February.

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