| 投影算子在方差分析模型中的应用 |
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| 引用本文： | 周力.投影算子在方差分析模型中的应用[J].东华大学学报(自然科学版),1991(Z1). |
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| 作者姓名： | 周力 |
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| 作者单位： | 上海大学商学院 |
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| 摘 要： | 本文以线性空间上的投影算子作为工具,来统一地处理各种不同类型的方差分析模型的假设检验问题,这样不仅使书写符号大大简化,还可使问题的结论直观、简单明了。为了避免在方差分析模型中由于设计阵X降秩,而带来不能直接求逆的困难,本文给出了一个寻求子空间V的一个基矩阵的方法,并用投影算子构造了假设检验的F统计量。
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| 关 键 词： | 投影算子 方差分析 设计阵 F-统计量 |
APPLICATION OF PROJECTIVE OPERATOR IN VARIANCE ANALYSIS MODELS |
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| Zhou Li.APPLICATION OF PROJECTIVE OPERATOR IN VARIANCE ANALYSIS MODELS[J].Journal of Donghua University,1991(Z1). |
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| Authors: | Zhou Li |
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| Institution: | Shanghai University |
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| Abstract: | Variance analysis models are actually linear models in which the design matrix X are incomplete rank matrix. Considering the problem that X'X has no inverse matrix, this paper attempts to use a linear projective operator to discuss variancc analysis models, and thus, to carry out the complete demonstration of F-statistics, which usually appears in varied hypothesis tests of variance analysis models. In this paper, a simple table-method to obtain the projective matrix is also presented. |
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| Keywords: | projective operator variance analysis design matrix F-statistics |
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