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المؤلفGomaa A.-S.
المؤلفBirch J.B.
تاريخ الإتاحة2020-04-27T08:34:21Z
تاريخ النشر2019
اسم المنشورCommunications in Statistics: Simulation and Computation
المصدرScopus
الرقم المعياري الدولي للكتاب3610918
معرّف المصادر الموحدhttp://dx.doi.org/10.1080/03610918.2017.1422751
معرّف المصادر الموحدhttp://hdl.handle.net/10576/14591
الملخصWhen process data follow a particular curve in quality control, profile monitoring is suitable and appropriate for assessing process stability. Previous research in profile monitoring focusing on nonlinear parametric (P) modeling, involving both fixed and random-effects, was made under the assumption of an accurate nonlinear model specification. Lately, nonparametric (NP) methods have been used in the profile monitoring context in the absence of an obvious linear P model. This study introduces a novel technique in profile monitoring for any nonlinear and auto-correlated data. Referred to as the nonlinear mixed robust profile monitoring (NMRPM) method, it proposes a semiparametric (SP) approach that combines nonlinear P and NP profile fits for scenarios in which a nonlinear P model is adequate over part of the data but inadequate of the rest. These three methods (P, NP, and NMRPM) account for the auto-correlation within profiles and treats the collection of profiles as a random sample with a common population. During Phase I analysis, a version of Hotelling’s T2 statistic is proposed for each approach to identify abnormal profiles based on the estimated random effects and obtain the corresponding control limits. The performance of the NMRPM method is then evaluated using a real data set. Results reveal that the NMRPM method is robust to model misspecification and performs adequately against a correctly specified nonlinear P model. Control charts with the NMRPM method have excellent capability of detecting changes in Phase I data with control limits that are easily computable.
اللغةen
الناشرTaylor and Francis Inc.
الموضوعBioassay
Model misspecification
Nonlinear mixed model robust regression
P-spline
Quality control
Robust profile monitoring
العنوانA semiparametric nonlinear mixed model approach to phase I profile monitoring
النوعArticle
الصفحات1677-1693
رقم العدد6
رقم المجلد48
dc.accessType Abstract Only


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