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• W4381616218 abstract "AbstractAbstractIn parametric non-linear profile modeling, it is crucial to map the impact of model parameters to a single metric. According to the profile monitoring literature, using multivariate T2 statistic to monitor the stability of the parameters simultaneously is a common approach. However, this approach only focuses on the estimated parameters of the non-linear model and treats them as separate but correlated quality characteristics of the process. Consequently, they do not take full advantage of the model structure. To address this limitation, we propose a procedure to monitor profiles based on a non-linear mixed model that considers the proper variance-covariance structure. Our proposed method is based on the concept of externally studentized residuals to test whether a given profile significantly deviates from the other profiles in the non-linear mixed model. The results show that our control chart is effective and appears to perform better than the T2 chart.Keywords: T2 control chartnon-linear mixed modelparametric modelingprofile monitoringχ2 statistic AcknowledgmentsThe authors thank the editor and two referees for the constructive comments and suggestions, which greatly improved the quality of the article.Disclosure statementNo potential conflict of interest was reported by the authors.Data availability statementRestrictions apply to the availability of the data used in the Case Study Section, which were used under license for this study.Additional informationNotes on contributorsA. Valeria QuevedoA. Valeria Quevedo obtained her Ph.D. in Statistics from Virginia Tech in 2019, her MS in Statistics from Virginia Tech in 2017, and her Master in Operations Research from the University of British Columbia in 2008. She is currently Associate Professor at Universidad de Piura, Peru. Her research interests center on profile monitoring, Gaussian process regression, and engineering education.G. Geoffrey ViningG. Geoffrey Vining is a Professor of Statistics at Virginia Tech. From 1999-2006, he also was the department head. He is an Honorary Member of the ASQ, a Fellow of the ASQ, a Fellow of the American Statistical Association (ASA), and an Elected Member of the International Statistical Institute. Dr. Vining is the author of three textbooks. Dr. Vining served as Editor of the Journal of Quality Technology from 1998-2000 and as Editor-in-Chief of Quality Engineering from 2008-2009. He has received ASQ Shewhart Medal, the 2015 ENBIS Medal. He also received an Honorary Doctor of Technology from Luleå University of Technology (Sweden)." @default.
• W4381616218 created "2023-06-23" @default.
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• W4381616218 date "2023-06-21" @default.
• W4381616218 modified "2023-09-27" @default.
• W4381616218 title "A non-linear mixed model approach for detecting outlying profiles" @default.
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• W4381616218 doi "https://doi.org/10.1080/00224065.2023.2217363" @default.
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