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Confidence regions for variance ratios in variance components model
dc.contributor.advisor | Hartley, H. O. | |
dc.creator | Al-Barhawe, Abduljabar Shihab | |
dc.date.accessioned | 2020-08-21T22:46:07Z | |
dc.date.available | 2020-08-21T22:46:07Z | |
dc.date.issued | 1971 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/DISSERTATIONS-213299 | |
dc.description.abstract | This study, using the method described by Hartley and Rao [10], derives confidence regions for the ratios of variances in random model. Each region is compared with a confidence region derived by Wald [22]. We derived confidence regions for the ratios of components of variance for the balanced one-way classification, balanced nested classification, balanced two-way classification mixed model without interaction, balanced two-way classification Model II without interaction and balanced incomplete block design. A full agreement was obtained between Hartley and Rao's [10] procedure, Wald's [22] procedure and the analysis of variance procedure for the one-way classification, nested classification and two-way classification mixed model without interaction. Wald's [22] confidence region was identical to the analysis of variance procedure for two-way classification Model II without interaction and the balanced incomplete block design. We then considered unbalanced one-way classification and unbalanced nested classification. The confidence interval for γ₁ in one-way classification with unequal numbers per subclass derived via Hartley and Rao's [10] procedure was identical to a confidence interval derived by Wald [19]. Three confidence regions for and γ₁ and γ₂ were derived based on the procedure outlined in Hartley and Rao [10]. Wald's [22] joint confidence region for γ₁ and γ₂ was derived by two methods then a confidence region for γ₂ was derived using Wald's [22] procedure. | en |
dc.format.extent | 67 leaves | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.rights | This 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.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Major statistics | en |
dc.subject.classification | 1971 Dissertation A327 | |
dc.title | Confidence regions for variance ratios in variance components model | en |
dc.type | Thesis | en |
thesis.degree.discipline | Statistics | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.name | Ph. D. in Statistics | en |
thesis.degree.level | Doctorial | en |
dc.contributor.committeeMember | Cartwright, T. C. | |
dc.contributor.committeeMember | Gates, Charles E. | |
dc.contributor.committeeMember | Klipple, E. C. | |
dc.contributor.committeeMember | Smith, W. B. | |
dc.type.genre | dissertations | en |
dc.type.material | text | en |
dc.format.digitalOrigin | reformatted digital | en |
dc.publisher.digital | Texas A&M University. Libraries | |
dc.identifier.oclc | 5670943 |
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