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Profile Monitoring via Nonlinear Mixed Models

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dc.contributor.authorJensen, Willis A.en
dc.contributor.authorBirch, Jeffrey B.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2019-05-08T19:46:14Zen
dc.date.available2019-05-08T19:46:14Zen
dc.date.issued2006en
dc.description.abstractProfile monitoring is a relatively new technique in quality control best used where the process data follows a profile (or curve) at each time period. Little work has been done on the monitoring on nonlinear profiles. Previous work has assumed that the measurements within a profile are uncorrelated. To relax this restriction we propose the use of nonlinear mixed models to monitor the nonlinear profiles in order to account for the correlation structure. We evaluate the effectiveness of fitting separate nonlinear regression models to each profile in Phase I control chart applications for data with uncorrelated errors and no random effects. For data with random effects, we compare the effectiveness of charts based on a separate nonlinear regression approach versus those based on a nonlinear mixed model approach. Our proposed approach uses the separate nonlinear regression model fits to obtain a nonlinear mixed model fit. The nonlinear mixed model approach results in charts with good abilities to detect changes in Phase I data and has a simple to calculate control limit.en
dc.format.extent40 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.sourceurlhttps://www.stat.vt.edu/content/dam/stat_vt_edu/graphics-and-pdfs/research-papers/Technical_Reports/TechReport06-4.pdfen
dc.identifier.urihttp://hdl.handle.net/10919/89395en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.ispartofseriesTechnical Report No. 06-04en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBlupsen
dc.subjectMultivariate Statistical Process Controlen
dc.subjectNonlinear Modelen
dc.subjectPhase Ien
dc.subjectT² statisticen
dc.titleProfile Monitoring via Nonlinear Mixed Modelsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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