Visualizing loglinear models
Visualizing loglinear models
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DOI：
10.2307/1390864
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发表时间：
1999-09-01
影响因子：
2.4
通讯作者：
Lauer, SRW
中科院分区：
文献类型：
--
作者：
Theus, M;Lauer, SRW
我们考虑基于马赛克图的可视化方法来解释和建模分类数据。分类数据通常使用对数线性模型进行建模。对于某些对数线性模型。镶嵌图具有独特的形状，不依赖于要建模的实际数据。这些形状反映了模型的结构，由特定模型系数的存在和不存在来定义。显示对数线性模型的期望值允许以图形方式合并模型的残差，并直观地判断对数线性拟合的充分性。此过程有助于对数线性模型的逐步交互式图形建模。我们表明，它通常会导致对数据结构的更深层次的理解。将马赛克图链接到其他交互式显示器提供了额外的能力，允许调查比静态显示器提供的更复杂的依赖模型。
We consider visual methods based on mosaic plots for interpreting and modeling categorical data. Categorical data are most often modeled using loglinear models. For certain loglinear models. mosaic plots have unique shapes that do not depend on the actual data being modeled. These shapes reflect the structure of a model, defined by the presence and absence of particular model coefficients. Displaying the expected values of a loglinear model allows one to incorporate the residuals of the model graphically and to visually judge the adequacy of the loglinear fit. This procedure lends to stepwise interactive graphical modeling of loglinear models. We show that it often results in a deeper understanding of the structure of the data. Linking mosaic plots to other interactive displays offers additional power that allows the investigation of more complex dependence models than provided by static displays.