中文摘要：

混料试验设计在工业生产、科学实验和医药领域有着非常广泛的应用,因而得到了许多统计学研究者的重视.随着混料试验设计问题的研究深入,常常需要研究含有定性因子的混料模型及其最优设计.文章考虑在混料试验设计中含定性因子的混料模型情形,获得了这类混料模型D-最优以及A-最优设计的充要条件.利用这个重要条件,可以获得具有定性因子混料模型的最优设计.

英文摘要：

Mixture designs are applied in industry, agriculture, science experiments and medicine, which at-tract the attention of many researchers. With deep research for mixture experiment, we often need to analyze the model with qualitative factors. This paper considers mixture model with the qualitative factor and its optimal de-signs. We obtain the necessary and sufficient condition of the D-optimal and A-optimal designs for the model, then we can obtain the optimal designs for mixture model with qualitative factor.