| 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 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.
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