Abstract
dc:description.abstractUnder 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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Statistics
- Department dc:contributor.department
- Statistics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 1992
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Baran, Gary Steven
- Chair dc:contributor.committeechair
-
- Myers, Raymond H.
- Committee members dc:contributor.committeemember
-
- Foutz, Robert
- Smith, Eric P.
- Reynolds, Marion R. Jr.
- Terrell, George R.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-02012006-141729
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/37246