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基于log-linear模型的列联表的独立性检验及其实证分析

Independence Test for Contingency Tables Based on Log-Linear Models and Its Authentic Proof Analysis
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摘要 探讨了广义线性模型中的log-linear模型在三维列联表中独立性模型建模的应用.首先利用Fisher-scoring算法得到了log-linear模型中回归参数的最大似然估计,并给出了模型的拟合优度检验办法;其次介绍了三维列联表中三种属性的独立性类型及它们的log-linear模型,并将其应用于具体实例,改善了现行方法中的不足. The article makes an inquiry into the application of the log-linear model included in the generalized linear models in the independent models" modeling of the three-way contingency table. Firstly,maximum likelihood estimate of the regression parameter in the log-linear model is obtained by Fisher-scoring algorithm and the testing method of the goodness of fit of the model is given secondly,the types of independence and theirs log-linear models about three attributes of the three- way contingency table are introduced, and then, one example as their application is given, which imoroves the inadeauacv of the methods already existed .
作者 苏连塔
出处 《泉州师范学院学报》 2013年第2期15-19,共5页 Journal of Quanzhou Normal University
基金 福建省教育厅A类科技项目(2010JA10235) 2010年度丰泽区第一批科技计划项目(2010FZ005)
关键词 三维列联表 广义线性模型 log—linear模型 独立性检验 three-way contingency table generalised linear models log-linear model independencetest
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二级参考文献13

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