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Estimation and diagnostics in nested variance component models
| dc.contributor.advisor | Hocking, Ronald R. | |
| dc.creator | Von Tress, Mark Scott | |
| dc.date.accessioned | 2020-09-02T21:11:03Z | |
| dc.date.available | 2020-09-02T21:11:03Z | |
| dc.date.issued | 1987 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/DISSERTATIONS-755013 | |
| dc.description | Typescript (photocopy). | en |
| dc.description.abstract | Estimation and diagnostics in nested variance component models is researched in this dissertation. Sufficiency and completeness of the statistics in nested models is studied to build the foundation for efficient estimators of the variance components. Information inequalities for unbiased estimators of the parameters in nested random models are studied next so that the efficiencies of different estimators may be compared. Several point estimates are presented for the variance components of the one-way and two-fold nested random models. Each of the estimators are compared on the basis of efficiency. Confidence intervals are presented next. Finally diagnostics are studied in order to asses the effect of the individual data on the ANOVA estimators. | en |
| dc.format.extent | ix, 161 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 | 1987 Dissertation V948 | |
| dc.subject.lcsh | Analysis of variance | en |
| dc.subject.lcsh | Linear models (Statistics) | en |
| dc.title | Estimation and diagnostics in nested variance component models | en |
| dc.type | Thesis | en |
| thesis.degree.grantor | Texas A&M University | en |
| thesis.degree.name | Doctor of Philosophy | en |
| thesis.degree.name | Ph. D | en |
| dc.contributor.committeeMember | Longnecker, Michael T. | |
| dc.contributor.committeeMember | Matis, James H. | |
| dc.contributor.committeeMember | Williams, Glen N. | |
| 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 | 19011199 |
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