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Network Trees: A Method for Recursively Partitioning Covariance Structures

Payton J. Jones (), Patrick Mair, Thorsten Simon and Achim Zeileis
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Payton J. Jones: Harvard University
Patrick Mair: Harvard University
Thorsten Simon: Universität Innsbruck
Achim Zeileis: Universität Innsbruck

Psychometrika, 2020, vol. 85, issue 4, No 5, 926-945

Abstract: Abstract 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.

Keywords: network analysis; correlation networks; recursive partitioning; decision trees; conditional inference (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11336-020-09731-4

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