Construction of Supersaturated Designs Through Partially Aliased Interactions
提出一种利用Hadamard矩阵中部分别名交互列来构造超饱和设计的方法，使因子数远超试验次数，并用三个准则评估设计效率。
An N × N Hadamard matrix can be used to construct a saturated 2 N−1design with N runs. Furthermore, if an interaction column for two of the columns of the matrix is not fully aliased with any column of the matrix, this interaction column can be used as a supplementary column for studying an additional factor. For some small Hadamard matrices studied by Plackett & Burman (1946), the number of such interaction columns is very large, thus allowing the construction of supersaturated designs whose number of factors far exceeds the number of runs. A general method of construction along these lines is proposed. The efficiency of the constructed designs is studied by using three criteria.