Minimal-point Composite Designs for Second-order Response Surfaces
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 accord...
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/73385494795279579798 |
| Summary: | 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.
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