Control charts based on residuals for monitoring processes with correlated observations

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dc.contributor.authorLu, Chao-Wenen
dc.contributor.committeechairReynolds, Marion R. Jr.en
dc.contributor.committeememberArnold, Jesse C.en
dc.contributor.committeememberLentner, Marvin M.en
dc.contributor.committeememberFoutz, Roberten
dc.contributor.committeememberYe, Keyingen
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T21:23:03Zen
dc.date.adate2005-11-10en
dc.date.available2014-03-14T21:23:03Zen
dc.date.issued1993-08-05en
dc.date.rdate2005-11-10en
dc.date.sdate2005-11-10en
dc.description.abstractIn statistical process control, it is usually assumed that observations on the process output at different times are lID. However, for many processes the observations are correlated and control charts for monitoring these processes have recently received much attention. For monitoring the process level, this study evaluates the properties of control charts, such as the EWMA chart and the CUSUM chart, based on the residuals from the forecast values of an ARMA model. It is assumed that the process mean is a ftrst order autoregressive (AR(l)) model and the observations are the mean plus a random error. Properties of these charts are evaluated using a Markov chain approach or an integral equation approach. The performance of control charts based on the residuals is compared to the performance of control charts based on the original observations. A combined chart using forecasts and residuals as the control statistics as well as a combined chart using the EWMA of observations and the EWMA of residuals as the control statistics are also studied by simulation. It is found that no universally "good" chart exists among all the charts investigated in this study. In addition, for monitoring the process variance, two kinds of EWMA chart based on residuals are studied and compared.en
dc.description.degreePh. D.en
dc.format.extentx, 201 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-11102005-141105en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11102005-141105/en
dc.identifier.urihttp://hdl.handle.net/10919/40300en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1993.L8.pdfen
dc.relation.isformatofOCLC# 29021776en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1993.L8en
dc.subject.lcshQuality control -- Charts, diagrams, etcen
dc.titleControl charts based on residuals for monitoring processes with correlated observationsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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