Distance Models for Three-Way Tables and Three-Way Association

Mark de Rooij

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Distance Models for Three-Way Tables and Three-Way Association

机译：三向表和三向关联的距离模型

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摘要

similarity function, the L p -transform and the Minkowski-p distance. For triadic distance models defined by the L p -transform we will prove that they do not model three-way association. Moreover, triadic distance models defined by the L p -transform are restricted multiple dyadic distances, where each dyadic distance is defined for a two-way margin of the three-way table. Distance models for three-way two-mode data, called three-way distance models, do succeed in modeling three-way association.

机译：相似性函数，L 变换和Minkowski-p距离。对于由L 变换定义的三重距离模型，我们将证明它们不对三向关联建模。此外，由L p 变换定义的三重距离模型是受限制的多个二元距离，其中每个二元距离是为三元表的二元余量定义的。用于三向两模式数据的距离模型（称为三向距离模型）确实成功地对三向关联进行了建模。

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《Journal of Classification》 |2002年第1期|161-178|共18页
作者
Mark de Rooij;
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Department of Psychology Leiden University;

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Distance Models for Three-Way Tables and Three-Way Association

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