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正交饱和效应模型及其统计分析
引用本文:张晓琴,李顺勇.正交饱和效应模型及其统计分析[J].应用概率统计,2009,25(3):309-319.
作者姓名:张晓琴  李顺勇
作者单位:山西大学数学科学学院,太原,030006
摘    要:文\cite{14}讨论了2水平正交饱和设计的一种统计分析方法---零效应搜索法, 本文将此方法推广到一般的饱和模型---正交饱和效应模型. 首先给出正交饱和效应模型的定义及其相关的参数估计和平方和分解, 然后用零效应搜索法对显著效应的检验问题进行分析, 模拟结果显示效果很好.

关 键 词:正交饱和效应模型  零效应搜索法  显著效应  方差估计.

The Orthogonal Saturated Effects Model and Its Statistical Analysis
ZHANG XIAOQIN,LI SHUNYONG.The Orthogonal Saturated Effects Model and Its Statistical Analysis[J].Chinese Journal of Applied Probability and Statisties,2009,25(3):309-319.
Authors:ZHANG XIAOQIN  LI SHUNYONG
Institution:School of Mathematics Science, Shanxi University
Abstract:The paper proposes a new model, that is, the orthogonal saturated effects model, to analyze the general saturated design. In addition, the paper gives the LSE estimators and their properties of the unknown parameters in this model, and gives the decomposition of the sum of squares. At last, theProcedure of Searching Zero Effects is used to test the active effects. The results of the simulated example shows that it is satisfied.
Keywords:The orthogonal saturated effects model  the Procedure of Searching Zero Effects  active effects  variance estimator  
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