中文摘要：

针对二、三混水平饱和正交设计d,在适当的划分下d=（D：^-D）,给出设计d的广义离散偏差与子设计D（^-D）的广义字长型及均匀性模式的解析关系.同时,给出这类因子设计的广义离散偏差的下界.最后,通过例子来验证其结论.

英文摘要：

We consider a kind of mixed two and three levels saturated orthogonal designs d. Under a proper decomposition of d =（ D ： ^-D）,we give connections between the generalized discrete discrepancy of d and generalized word length pattern or uniformity pattern of D or ^-D. Meanwhile,we also present the lower bound of generalized discrete discrepancy of this kind of fractional factorials. Finally,an illustrative example is given to shown our theoretical results.