中文摘要：

考虑多响应模型E（Yi（X））=η（X）=fi^T（X）βi（i=1，2），其中两个响应分别为Seheffe一阶和二阶模型．主要研究一类支撑点为各顶点X←→（1，0，…，0）和各棱中心X←→（1/2，1/2，0，…，0）的设计，根据D-和A-最优设计准则得到最优设计测度ri^＊和r2^＊最后给出最优设计效率的一些数值结果，说明D-和A-最优设计在模型参数估计方面差别不大．

英文摘要：

The mulfiresponse models E（Yi（X） ） = ηi（X） = fi^T（X）βi（i = 1,2） are considered,where η1 and η2 are the Seheffe＇s linear model and quadratic model, respectively. D- and A-optimal designs are investigated in this paper. More precisely, we restrict ourselves to a particular type of design ξ^＊ whose support points are X←→（ 1,0,..., 1 0,... 0）, and X←→（1/2,1/2,0,…,0）and obtain the weights r1^＊ and r2^＊ according to the D- and the A-optimal design criteria The numerical results about the effieieneies of these optimal designs show that D- and A-optimal designs do not differ too much in some mixture experiments.