Optimal Composite Response Surface Designs

• Main Authors: Yu-Jen Tsai, 蔡雨蓁
• Other Authors: Ray-Bing Chen
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/92374053132723903970

碩士 === 國立高雄大學 === 統計學研究所 === 93 === In this thesis, we are interested in finding optimal composite designs and minimal-point designs for the second-order polynomial model. Firstly we ‾nd the optimal composite designs by fixing the first-order designs and then searching the optimal added supports. For cases of more than three factors, a simulated annealing algorithm with a MCMC sampling method is proposed for finding the optimal composite designs numerically. Therefore, based on the same symmetric structures of the central composite designs, D-optimal star points are found. Secondly we study the minimal-point designs by the D-optimal criterion which are also based on the different first-order designs. Finally these minimal-point designs are compared with the other small composite designs and minimal-point designs according to D-efficiency. .