An analysis of repeated measurements on experimental units in a two-way classification

dc.contributor.authorMcNee, Richard Cameronen
dc.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T21:29:58Zen
dc.date.adate2010-02-16en
dc.date.available2014-03-14T21:29:58Zen
dc.date.issued1966en
dc.date.rdate2010-02-16en
dc.date.sdate2010-02-16en
dc.description.abstractIn experiments with repeated measurements made on the same subjects, the repeated observations in time may be correlated. Therefore, the assumption of independent observations cannot be made in general. This thesis considers the experimental design with treatments in a two-way classification with a disproportionate number of subjects allocated to each treatment combination and repeated measurements made on the subjects. A procedure is shown to be applicable for computing an analysis under somewhat restrictive assumptions. It is assumed that the variances are equal for all times and the correlations in time are equal. The tests obtained are for the three-factor interaction, the two-factor interactions assuming the three-factor interaction zero, and the main effects assuming all interactions zero. The procedure requires the inverse of one matrix, some matrix multiplication, and the calculation of some standard sums of squares.en
dc.description.degreeMaster of Scienceen
dc.format.extent52 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02162010-020543en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02162010-020543/en
dc.identifier.urihttp://hdl.handle.net/10919/41210en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1966.M363.pdfen
dc.relation.isformatofOCLC# 20456521en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1966.M363en
dc.subject.lcshDiscriminant analysisen
dc.subject.lcshExperimental designen
dc.titleAn analysis of repeated measurements on experimental units in a two-way classificationen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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