Log-linear models approximate discrete multidimensional probability distributions. The method can be used to
estimate the probability of each cell in a base cuboid for a set of discretized attributes, based on the smaller cuboids
making up the data cube lattice. This allows higher order data cubes to be constructed from lower order ones.
Log-linear models are therefore also useful for data compression (since the smaller order cuboids together typically
occupy less space than the base cuboid) and data smoothing (since cell estimates in the smaller order cuboids are less
estimate the probability of each cell in a base cuboid for a set of discretized attributes, based on the smaller cuboids
making up the data cube lattice. This allows higher order data cubes to be constructed from lower order ones.
Log-linear models are therefore also useful for data compression (since the smaller order cuboids together typically
occupy less space than the base cuboid) and data smoothing (since cell estimates in the smaller order cuboids are less
subject to sampling variations than cell estimates in the base cuboid).
对数线性模型是用于离散型数据或整理成列联表格式的计数资料的统计分析工具。在对数线性模型中,所有用作的分类的因素均为独立变量,列联表各单元中的例数为应变量。对于列联表资料,通常作χ2 检验,但χ2 检验无法系统地评价变量间的联系,也无法估计变量间相互作用的大小,而对数线性模型是处理这些问题的最佳方法。
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