An examination of outliers and interaction in a nonreplicated two-way table

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dc.contributor.authorKuzmak, Barbara R.en
dc.contributor.committeechairSmith, Eric P.en
dc.contributor.committeememberFoutz, Roberten
dc.contributor.committeememberMyers, Raymond H.en
dc.contributor.committeememberReynolds, Marion R. Jr.en
dc.contributor.committeememberTerrell, George R.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T21:10:52Zen
dc.date.adate2006-05-11en
dc.date.available2014-03-14T21:10:52Zen
dc.date.issued1990-12-05en
dc.date.rdate2006-05-11en
dc.date.sdate2006-05-11en
dc.description.abstractThe additive-plus-multiplicative model, Y<sub>ij</sub> = μ + α<sub>i</sub> + β<sub>j</sub> + ∑<sub>p=1</sub><sup>k</sup>λ<sub>p</sub>τ<sub>pi</sub>γ<sub>pj</sub>, has been used to describe multiplicative interaction in an unreplicated experiment. Outlier effects often appear as interaction in a two-way analysis of variance with one observation per cell. I use this model in the same setting to study outliers. In data sets with significant interaction, one may be interested in determining whether the cause of the interaction is due to a true interaction, outliers or both. I develop a new technique which can show how outliers can be distinguished from interaction when there are simple outliers in a two-way table. Several examples illustrating the use of this model to describe outliers and interaction are presented. I briefly address the topics of leverage and influence. Leverage measures the impact a change in an observation has on fitted values, whereas influence evaluates the effect deleting an observation has on model estimates. I extend the leverage tables for an additive-plus-multiplicative model of rank 1 to a rank k model. Several examples studying the influence in a two-way nonreplicated table are given.en
dc.description.degreePh. D.en
dc.format.extentx, 132 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05112006-154754en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112006-154754/en
dc.identifier.urihttp://hdl.handle.net/10919/37747en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.K796.pdfen
dc.relation.isformatofOCLC# 23716366en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.K796en
dc.subject.lcshAnalysis of variance -- Researchen
dc.titleAn examination of outliers and interaction in a nonreplicated two-way tableen
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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