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Diagnosis Aids in Multivariate Multiple Linear Regression Profiles Monitoring
Authors:Amirhossein Amiri  Abbas Saghaei  Mohammad Mohseni  Yaser Zerehsaz
Institution:1. Industrial Engineering Department, Faculty of Engineering, Shahed University, Tehran, Iran;2. Industrial Engineering Department, Islamic Azad University-Science and Research Branch, Tehran, Iran;3. Industrial Engineering Department, Islamic Azad University-Qazvin Branch, Qazvin, Iran;4. Industrial Engineering Department, Islamic Azad University-South Tehran Branch, Tehran, Iran
Abstract:Diagnosis aids in addition to detecting the out-of-control state is an important issue in multivariate multiple linear regression profiles monitoring; because a large number of parameters and profiles in this structure are involved. In this paper, we specifically concentrate on identification of profile(s) and parameter(s) which have changed during the process in multivariate multiple linear regression profiles structure in Phase II. We demonstrate the effectiveness of our proposed approaches through Monte Carlo simulations and a real case study in terms of accuracy percent.
Keywords:Diagnosis aids  Hoteling's T2 statistic  Multivariate multiple linear regression profile  Phase II  Statistical process control
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