CAJ | 학술논문

对于一些混料试验,在整个的单纯形试验区域,不同子区域中响应变量Y的特性有明显不同,引入样条函数T1(x1-α),得到分段多项式模型,在整个试验区域用一个多项式模型来表示,只用一个试验设计,就能估计出模型的所有系数讨论了在实际中经常用到的两类不同的二阶分块混料模型,给出整个试验区域的A－最优设计以及它们测度的解析解,并从理论上证明
대우일사혼료시험,재정개적단순형시험구역,불동자구역중향응변량Y적특성유명현불동,인입양조함수T1(x1-α),득도분단다항식모형,재정개시험구역용일개다항식모형래표시,지용일개시험설계,취능고계출모형적소유계수토론료재실제중경상용도적량류불동적이계분괴혼료모형,급출정개시험구역적A－최우설계이급타문측도적해석해,병종이론상증명
In some mixture experiments,the property of the response variable ‘Y’is obviously different in the different subregion,it must use different models in the different subregion. So in the whole simplex experimental region,it must use a lot of models and designs. By introducing a spline function T1(x1-α),only one mixture model and one design is used in the whole simplex experimental region. Two different sorts of quadratic segented mixture experimental models are used in this article. Their A-optimal designs and their analytic solutions are given.