正规部分因析设计别名成分数型的一些性质  

Some Porperties of Aliased Component-Number Pattern for Regular Fractional Factorial Designs

作　　者：李智 李智明[1] LI Zhi;LI Zhiming(College of Mathematics and System Science,Xinjiang University,Urumqi,830046,China)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《应用概率统计》2021年第6期585-597,共13页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金项目(批准号:12061070、11661076);新疆维吾尔自治区自然科学基金项目(批准号:2021D01E13、2018Q011)资助

摘　　要：一般最小低阶混杂准则和最小混杂准则是挑选s(s≥2)水平最优正规部分因析设计的两个重要准则,其分类模式分别为别名成分数型与字长型.本文主要研究s水平正规设计的别名成分数型的一些性质,得到了s水平下字长型中的元素可以表示为别名成分数型的函数形式,揭示了别名成分数型与字长型之间的关系.另一方面,通过字长型也可以计算某些别名成分数型.进一步,得到了二水平设计的一些别名成分数型之间的表达公式.General minimum lower-order confounding and minimum aberration are two important criteria to select s(s≥2)-level optimal regular fractional factorial designs.Their classification are based on the aliased component-number and word-length patterns,respectively.The paper mainly studies some properties of the aliased component-number pattern for s-level regular designs.We obtain that the elements of word-length pattern are expressed as some functions of aliased component-numbers under s-level case.It reveals the relationship between the aliased component-number and word-length patterns.On the other hand,we can calculate some aliased component-numbers by word-length pattern.Further,the formulas of some aliased component-numbers are provided for two-level designs.

关 键 词：正规设计 定义关系 字长型 最小混杂准则 别名成分数型 一般最小低级混杂准则 

分 类 号：O212.6[理学—概率论与数理统计]