Minimal-point Composite Designs for Second-order Response Surfaces

• Main Authors: Chi-Lan Chou, 周祈藍
• Other Authors: Ray-Bing Chen
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/73385494795279579798

碩士 === 國立高雄大學 === 統計學研究所 === 95 === In this work, we are interested in constructing minimal-point designs for second-order response surfaces. A two-stage method is used. First a proper first-order design with small number of supports would be selected and then the remaining supports are added according to a pre-specified optimal criterion. Here a modified simulated annealing algorithm is applied for finding these designs according to the different criterion. Besides D-optimal criterion, Ds-optimal criterion and rotatable criterion are also used here. Thus based on the three different types of first-order designs, the corresponding minimal-point designs are found numerically. Finally these designs are compared with center composite designs, other small composite designs and minimal-point designs by relative efficiencies. It shows that the proposed composite designs perform well in general.