二水平正交饱和设计中零效应搜索法的推广  

Spread of the Procedure of Searching Zero Effects in the Statistical Analysis of 2-Level Orthogonal Saturated Designs

作　　者：张晓琴[1] 赵深淼[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2010年第2期182-185,共4页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(44K55050);山西省高校高新技术产业化项目(20090006)

摘　　要：文[5]中提出的零效应搜索法是分析饱和设计的有效方法.一般假定误差是服从正态分布的.零效应搜索法对于密度函数是对称分布的函数也适用,因此零效应搜索法对t分布也适用.由于t分布的密度函数比较复杂,无法给出统计量的具体形式,但可通过模拟来实现,通过对各种情况的模拟计算来说明零效应搜索法对t分布也适用.本文选择自由度为3的t分布做模拟.并且在此假定下,也能很好的识别饱和设计中的显著因子,误差方差的估计也很好.The article[5] proposed the procedure of searching zero effects which is a effective method in analyzing orthogonal saturated designs. Generally,it assume that the errors are subject to normal distribution. Because the density function of t-distribution is also a symmetric distribution, the procedure of searching zero effects is also applicable to the t-distribution. The density function of t-distribution is much more complicated,so it can＇t give the specific form of statistics. However,it can achieve by simulation, through the simulation of various situations,illustrate that the procedure of searching zero effects is applicable to the t- distribution. Choosing the distribution of t（3） to do the simulation,under this assumption,it can also identify significant factor in orthogonal saturated designs,and the estimated of error varianceis also very well.

关 键 词：正交饱和设计 次序统计量 零效应搜索法 显著效应 T分布 

分 类 号：O212.1[理学—概率论与数理统计]