A two-stage experimental design procedure under dispersion effects
dc.contributor.author | Baran, Gary Steven | en |
dc.contributor.committeechair | Myers, Raymond H. | en |
dc.contributor.committeemember | Foutz, Robert | en |
dc.contributor.committeemember | Smith, Eric P. | en |
dc.contributor.committeemember | Reynolds, Marion R. Jr. | en |
dc.contributor.committeemember | Terrell, George R. | en |
dc.contributor.department | Statistics | en |
dc.date.accessioned | 2014-03-14T21:08:59Z | en |
dc.date.adate | 2006-02-01 | en |
dc.date.available | 2014-03-14T21:08:59Z | en |
dc.date.issued | 1992-09-08 | en |
dc.date.rdate | 2006-02-01 | en |
dc.date.sdate | 2006-02-01 | en |
dc.description.abstract | Under heterogeneous variance, conventional optimal response surface experimental designs for estimating location models are no longer optimal. To address this deficiency. D and Q criteria appropriate under heterogeneous variance are developed. These criteria are then applied to demonstrate the improved efficiency of a proposed two-stage experimental design procedure. In the proposed procedure the first stage estimates the heterogeneous variance structure and the second stage augments the first stage to produce a total design that is Q or D-optimal for the estimated variance structure. The Q and 0 criteria not only direct the total design, but also suggest optimal designs for estimating dispersion effects in the first stage. The efficiency of the proposed two-stage procedure is further enhanced if certain mild assumptions concerning variance structure are valid. These assumptions are formulated as a prior distribution and effectively stabilize the variance estimation in the first stage through a Bayes estimator. | en |
dc.description.degree | Ph. D. | en |
dc.format.extent | ix, 116 leaves | en |
dc.format.medium | BTD | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.other | etd-02012006-141729 | en |
dc.identifier.sourceurl | http://scholar.lib.vt.edu/theses/available/etd-02012006-141729/ | en |
dc.identifier.uri | http://hdl.handle.net/10919/37246 | en |
dc.language.iso | en | en |
dc.publisher | Virginia Tech | en |
dc.relation.haspart | LD5655.V856_1992.B373.pdf | en |
dc.relation.isformatof | OCLC# 27379460 | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.lcc | LD5655.V856 1992.B373 | en |
dc.subject.lcsh | Response surfaces (Statistics) | en |
dc.title | A two-stage experimental design procedure under dispersion effects | en |
dc.type | Dissertation | en |
dc.type.dcmitype | Text | en |
thesis.degree.discipline | Statistics | en |
thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
thesis.degree.level | doctoral | en |
thesis.degree.name | Ph. D. | en |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- LD5655.V856_1992.B373.pdf
- Size:
- 3.96 MB
- Format:
- Adobe Portable Document Format
- Description: