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Recommendations for design parameter...

Wang, Li.

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Recommendations for design parameters for central composite designs with restricted randomization.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Recommendations for design parameters for central composite designs with restricted randomization./
Author:	Wang, Li.
Description:	131 p.
Notes:	Advisers: Geoff Vining; Scott Kowalski.
Contained By:	Dissertation Abstracts International67-07B.
Subject:	Statistics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3227058
ISBN:	9780542784927

Recommendations for design parameters for central composite designs with restricted randomization.
Wang, Li.

Recommendations for design parameters for central composite designs with restricted randomization. - 131 p.

Advisers: Geoff Vining; Scott Kowalski.

Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2006.

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 rotatability 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 split-plot 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 a based on the philosophy of traditional response surface methodology.

ISBN: 9780542784927Subjects--Topical Terms:

517247
Statistics.

Recommendations for design parameters for central composite designs with restricted randomization.
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020 $a 9780542784927
035 $a (UMI)AAI3227058
035 $a AAI3227058
040 $a UMI $c UMI
100 1 $a Wang, Li. $3 1278373
245 1 0 $a Recommendations for design parameters for central composite designs with restricted randomization.
300 $a 131 p.
500 $a Advisers: Geoff Vining; Scott Kowalski.
500 $a Source: Dissertation Abstracts International, Volume: 67-07, Section: B, page: 3882.
502 $a Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2006.
520 $a 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 rotatability 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 split-plot 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 a based on the philosophy of traditional response surface methodology.
590 $a School code: 0247.
650 4 $a Statistics. $3 517247
690 $a 0463
710 2 $a Virginia Polytechnic Institute and State University. $3 1017496
773 0 $t Dissertation Abstracts International $g 67-07B.
790 $a 0247
790 1 0 $a Kowalski, Scott, $e advisor
790 1 0 $a Vining, Geoff, $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3227058