The application of a single control chart for dependent variables in multivariate quality control

dc.contributor.authorHanson, Robert Alexanderen
dc.contributor.committeememberNachlas, Joel A.en
dc.contributor.committeememberSchmidt, J. Williamen
dc.contributor.committeememberFabrycky, Wolter J.en
dc.contributor.departmentIndustrial Engineering and Operations Researchen
dc.date.accessioned2014-03-14T21:35:23Zen
dc.date.adate2009-05-02en
dc.date.available2014-03-14T21:35:23Zen
dc.date.issued1990-08-05en
dc.date.rdate2009-05-02en
dc.date.sdate2009-05-02en
dc.description.abstractMost control charts monitor only one quality characteristic. There are, however, many manufactured products for which good quality requires meeting specifications in more than one physical characteristic. Typical practice when dealing with multiple quality characteristics is to take a separate sample for each characteristic and then create individual univariate control charts which are independently monitored. This method can result in errors due to not accounting for the effects of correlation. In order to avoid these errors, an alternate approach to multivariate quality control problems is proposed and studied here. The original problem is converted into a univariate problem by using the following transformation: y=Σ a<sub>i</sub>x<sub>i</sub> i where αi = weighting coefficient for the i<sup>th</sup> quality characteristic X<sub>i</sub> = represents the i<sup>th</sup> quality characteristic This transformation retains sensitivity to changes in the original quality variables. The resulting univariate quality control model takes into account the sampling error probabilities for each of several candidate hypotheses. The probabilities of correctly diagnosing process shifts when an out-of-control state occurs are calculated and tabulated as are the probabilities that the model will signal when an out-of-control state occurs.en
dc.description.degreeMaster of Scienceen
dc.format.extentvi, 38 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05022009-040726en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05022009-040726/en
dc.identifier.urihttp://hdl.handle.net/10919/42422en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1990.H358.pdfen
dc.relation.isformatofOCLC# 23591299en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1990.H358en
dc.subject.lcshQuality control -- Charts, diagrams, etcen
dc.titleThe application of a single control chart for dependent variables in multivariate quality controlen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineIndustrial Engineering and Operations Researchen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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