Network Trees: A Method for Recursively Partitioning Covariance Structures

Jones Payton J.; Mair Patrick; Simon Thorsten; Zeileis Achim

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Network Trees: A Method for Recursively Partitioning Covariance Structures

机译：网络树：一种用于递归分区协方差结构的方法

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In many areas of psychology, correlation-based network approaches (i.e., psychometric networks) have become a popular tool. In this paper, we propose an approach that recursively splits the sample based on covariates in order to detect significant differences in the structure of the covariance or correlation matrix. Psychometric networks or other correlation-based models (e.g., factor models) can be subsequently estimated from the resultant splits. We adapt model-based recursive partitioning and conditional inference tree approaches for finding covariate splits in a recursive manner. The empirical power of these approaches is studied in several simulation conditions. Examples are given using real-life data from personality and clinical research.

机译：在心理学的许多领域，基于相关性的网络方法（即心理测量网络）已经成为一种流行的工具。在本文中，我们提出了一种基于协变量递归分割样本的方法，以检测协方差或相关矩阵结构中的显著差异。心理测量网络或其他基于相关性的模型（例如，因子模型）随后可以根据结果的分裂进行估计。我们采用基于模型的递归划分和条件推理树方法，以递归方式寻找协变量拆分。在几种模拟条件下研究了这些方法的经验能力。这些例子是使用人格和临床研究的真实数据给出的。

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来源
《Psychometrika》 |2020年第4期|共20页
作者
Jones Payton J.; Mair Patrick; Simon Thorsten; Zeileis Achim;
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作者单位

Harvard Univ Cambridge MA 02138 USA;

Harvard Univ Cambridge MA 02138 USA;

Univ Innsbruck Innsbruck Austria;

Univ Innsbruck Innsbruck Austria;

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原文格式 PDF
正文语种 eng
中图分类心理测验;
关键词
network analysis; correlation networks; recursive partitioning; decision trees; conditional inference;

机译：网络分析;相关网络;递归分区;决策树;条件推断;

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3. A preliminary empirical comparison of recursive neural networks and tree kernel methods on regression tasks for tree structured domains [J] . Alessio Micheli, Filippo Portera, Alessandro Sperduti Neurocomputing . 2005,第Mar期

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7. Distinguishing HapMap Accessions Through Recursive Set Partitioning in Hierarchical Decision Trees [O] . Wenchao Zhang, Yun Kang, Xiaofei Cheng, 2021

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8. Recursive Partitioning and Tree-based Methods [O] . Heping Zhang 2008

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9. Generalized Regression Trees: Function Estimation via Recursive Partitioning andMaximum Likelihood [R] . Chudhuri, P., Lo, W. D., Loh, W. Y., 1993

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Network Trees: A Method for Recursively Partitioning Covariance Structures

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