Conditional Optimal Composite Designs

摘要：

In this work,optimal composite designs for the second-order response surfaces are considered.Given a first-order design and center points,we seek the axial points which make the composite desing with maximal determinant possible .An MCMC type algorithm is proposed for finding these optimal design points.Based on the symmetric structure of the central composite desings,optimal central composite designs are further constructed via three different optimal criteria (D-,A-,and Ds-optimality).We next consider the minimal-point designs. A novel two-stage method is proposed for finding the minimal-point designs of composite type.These minimal-point designs are obtained and compared with the other small composite designs based upon D-effciency. It is shown that although these minimal-point designs are not necessary optimal,they have reasonably high D-efficiencies in general.

关键词： A-optimality Central composite designs Conditional design D-optimality Ds-optimality Minmal opint design Simulated annealing algorithm Small composite design.

作者: Ray-Bing Chen Dennis K.J.Lin Yu-Jen Tsai

作者单位: Institute of Statistics,National University of Kaohsiung,Kaohsiung,Taiwan department of Supply Chain and Information Systems,Pennsylvania State University,Pennsylvania,U.S.A.

会议类型: 国际会议

会议名称: 2006 International Conference on Design of Experiments and Its Applications(2006实验设计及其应用国际会议)

会议地点: 天津

会议语种:英文

在线出版日期: 2006-07-09（万方平台首次上网日期，不代表论文的发表时间）