部分追加试验设计的严格方法及其应用

Strict Method and Its Application of Fractional Addition Experimental Design

部分追加试验设计是用来解决不同水平的试验问题 ,是正交设计和非正交设计交叉的一种选优方法 .本文对这种试验设计的数据分析和方差分析给出严格方法 .即对离差平方和及它们的自由度 ,修正系数等用数学关系式作了推导和说明 .同时把部分追加法和拟水平法灵活相结合 ,发挥各自优点 ,既减少试验次数又便于计算分析 .

The fractional addition experimental method is used to solve some experimental problems on different level. It is an optimum seeking method of the orthogonal and nonorthogonal design intersection. In this paper, strict method is given to analysis of data and variance of fractional addition experimental design, that is, the deviation square sums, its degress of freedom, revised coefficient and etc are derived and explained with mathematical relationship. At the same time, fractional additional and quasi\|level method are combined flexibly to give full play to respective merits, so that the experimental times are reduced and it is convenient to calculate and analyse.