Type of Document	Dissertation
Author	Wang, Li
Author's Email Address	liwang4@vt.edu
URN	etd-08252006-133010
Title	Recommendations for Design Parameters for Central Composite Designs with Restricted Randomization
Degree	PhD
Department	Statistics
Advisory Committee	Advisor Name Title Vining, G. Geoffrey Committee Chair Kowalski, Scott M. Committee Co-Chair Morgan, John P. Committee Member Spitzner, Dan J. Committee Member Ye, Keying Committee Member
Keywords	response surface designs orthogonal blocking rotatability split-plot designs central composite designs
Date of Defense	2006-08-15
Availability	unrestricted
Abstract In response surface methodology, the central composite design is the most popular choice for fitting a second order model. The choice of the distance for the axial runs, alpha, in a central composite design is very crucial to the performance of the design. In the literature, there are plenty of discussions and recommendations for the choice of alpha, among which a rotatable alpha and an orthogonal blocking alpha receive the greatest attention. Box and Hunter (1957) discuss and calculate the values for alpha that achieve rotatability, which is a way to stabilize prediction variance of the design. They also give the values for alpha that make the design orthogonally blocked, where the estimates of the model coefficients remain the same even when the block effects are added to the model. In the last ten years, people have begun to realize the importance of a split-plot structure in industrial experiments. Constructing response surface designs with a split-plot structure is a hot research area now. In this dissertation, Box and Hunters' choice of alpha for rotatablity and orthogonal blocking is extended to central composite designs with a split-plot structure. By assigning different values to the axial run distances of the whole plot factors and the subplot factors, we propose two-strata rotatable splitplot central composite designs and orthogonally blocked split-plot central composite designs. Since the construction of the two-strata rotatable split-plot central composite design involves an unknown variance components ratio d, we further study the robustness of the two-strata rotatability on d through simulation. Our goal is to provide practical recommendations for the value of the design parameter alpha based on the philosophy of traditional response surface methodology.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    dissertationLiWangrevised.pdf 783.74 Kb 00:03:37 00:01:51 00:01:37 00:00:48 00:00:04

If you have questions or technical problems, please Contact DLA.