Fractional Factorial Designs for Factors with a Prime Number of Quantitative Levels
回顾了质数水平定量因子的规范对比单自由度划分技术，讨论了规范对比与多项式对比的关系，以及部分因子设计中的别名结构，并给出了三水平和五水平定量因子的部分因子设计表。
SUMMARY A technique for single degree of freedom partitioning of canonical contrasts for prime level factorials with quantitative levels is reviewed. The relationship between canonical contrasts and the polynomial contrasts of response function models is discussed. Aliasing of canonical contrasts in fractional factorials is examined and alias sets from principal fractions are shown to have a particularly simple structure. Second-order response function designs built from single principal fractions or from sums of two or four different principal fractions are discussed. The accommodation of nuisance trend effects in experiments with quantitative factor effects is exemplified. Tables of fractional factorial designs for factors with three or five quantitative levels are presented.