正交饱和效应模型及其统计分析
The Orthogonal Saturated Effects Model and Its Statistical Analysis
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摘要: 文\cite14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.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, the Procedure of Searching Zero Effects is used to test the active effects. The results of the simulated example shows that it is satisfied.