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dc.contributor.advisorKunze, George W.
dc.creatorFarmer, John Henry
dc.date.accessioned2020-01-08T17:44:36Z
dc.date.available2020-01-08T17:44:36Z
dc.date.created1971
dc.identifier.urihttp://hdl.handle.net/1969.1/DISSERTATIONS-171014
dc.description.abstractThis dissertation is concerned with developing objective criteria to eliminate "unimportant" variables to aid in the interpretation of significant results in the multivariate analysis of variance. Chapter I discusses the problem in terms of the structures of the error and hypothesis matrices and gives a review of the pertinent literature. The MANOVA matrices are displayed in terms of inner product spaces. Basis vectors, linear transformations and successive orthogonalization are discussed in terms of these matrices and the invariance of statistical hypothesis in Chapter II. Chapter III discusses the effective dimensionality of the error and hypothesis spaces and proposes a variable elimination procedure based on properties developed in Chapter II. Six different variable elimination procedures are tested on artificial data sets with known variance-covariance structures in Chapter IV. The criteria judged "best" are used with "live" data examples in Chapter V. Chapter VI contains the summary and conclusions of the study along with recommendations for further research in this area.en
dc.format.extent112 leavesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.classification1971 Dissertation F233
dc.titleProblems of interpretation in multivariate analysis of varianceen
dc.typeThesisen
thesis.degree.disciplineStatisticsen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.nameDoctor of Philosophyen
thesis.degree.levelDoctoralen
dc.contributor.committeeMemberBlank, H. R.
dc.contributor.committeeMemberGodbey, C. B.
dc.contributor.committeeMemberKoenig, Karl J.
dc.contributor.committeeMemberWeekes, D. F.
dc.type.genredissertationsen
dc.type.materialtexten
dc.format.digitalOriginreformatted digitalen
dc.publisher.digitalTexas A&M University. Libraries


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