摘要
对于 q 分量正规单纯形利益区域,推广了一般的二阶可加混料模型。通过 CAD算法与理论论证相结合的途径,给出了参数估计的 D-最优设计。这些 D-最优设计的一个特点是它们的柱点随 q 而变化,分别属于三种设计类型:(1)q=3,4,柱点是S_(q-1)的顶点和二顶点中心,并且每类柱点的测度和相等;(2)q≥8,柱点是 S_(q-1)的顶点和三顶点中心,并且每类柱点的测度和相等;(3)5≤q≤7,柱点是顶点、二顶点和三顶点中心,而各类柱点的测度和不相等,且随q而变化。
Generalizes an additive mixture model of 2-degree available to the interest re-gion of q-component regular simplex S_(q-1). By way of proving theoretically incombination with CAD algorithm, the D-optimal design is given with par-ameter estimation.The design is featured with that all the supporting pointsvary with q and can be divided into three types as follows.(1) If q=3 or 4, thesupporting points will be the vertices and the centroids between two verticesof S_(q-1),with the sum of measures equal.(2) If q≥8.the supporting points willbe vertices and the centroids among three vertices,with the sum of measuresequal in either case. (3) If 5≤q≤7, the supporting points will be vertices. thecentroids between two vertices and that among three vertices, with the sumof measures unequal in different cases but varying with q.
