A Study onMinimal-point Composite Designs

• Main Authors: Yin-Jie Huang, 黃音倢
• Other Authors: Ray-Bing Chen
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/41399135867702919810

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 surface. A two-stage method is used for finding the composite designs. First we choose a proper first-order design with small supports, and then the remaining supports are selected according to an pre-specified criterion. A modified simulated annealing algorithm is applied here for numerically finding these added supports according to the different criteria. Besides A-optimal criterion, As-optimal and slope-rotatable criteria are also used here. Based on the three different types of first-order designs, the corresponding minimal-point designs are found. Finally these designs are compared with central composite designs, other small composite designs and minimal-point designs by relative efficiencies. It is shown that the proposed composite designs perform well in general.