节点文献
D-最优设计的对称性及其对称构造法
THE SYMMETRY AND SYMMETRY-CONSTRUCTING ALGORITHM FOR D-OPTIMAL EXPERIMENTAL DESIGN
【摘要】 <正> §1.引言 设我们考察一个未知的试验系统,并假定其响应值η与因子向量X及参数向量β具有如下的函数关系其中如进行N次试验,我们便会得到下面的观测值
【Abstract】 In this paper,based on the method of Fedorov,we advance a new method of symmetry constructing algorithm for D-optimal experimental design.From symmetry consideration,this algorithm only search for the maxima of variance function d(X,?) in the partial region instead of entire region.At the same time,it adds symmetric points to a given initial design at each stage.So that the rate of convergence of Fedorov’s algorithm will be improved and the more efficient approximate D-optimal design will be obtained.
【基金】 冶金部科学基金
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,1991年03期
- 【被引频次】13
- 【下载频次】129