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Assessing the robustness of cluster solutions obtained from sparse count matrices.

Kathleen M Gates1, Zachary F Fisher1, Cara Arizmendi1

  • 1Department of Psychology and Neuroscience, University of North Carolina at Chapel Hill.

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Summary

Researchers can now evaluate the robustness of community detection cluster solutions in psychological data. The perturbR package offers two novel methods to assess if results are reliable or due to random noise.

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Area of Science:

  • Psychology
  • Data Science
  • Network Analysis

Background:

  • Psychological research increasingly uses community detection for clustering sparse count matrices (e.g., social networks, brain imaging).
  • Existing methods lack robust approaches to evaluate the reliability of these cluster solutions in empirical data, leaving results susceptible to noise.

Purpose of the Study:

  • To introduce two novel methods for evaluating the robustness of cluster solutions derived from community detection in psychological research.
  • To present the R package, perturbR, which automates these robustness assessment techniques for psychological researchers.

Main Methods:

  • Method 1: Compares original cluster assignments with those derived from randomly perturbing matrix edges to assess stability.
  • Method 2: Utilizes Monte Carlo simulations to compare the modularity score of the original solution against random matrices with similar properties.
  • The perturbR package implements these methods, facilitating their application in psychological studies.

Main Results:

  • Demonstrated the utility of perturbR using benchmark simulated data.
  • Applied the robustness assessment methods to publicly available empirical data from social networks and structural neuroimaging.

Conclusions:

  • The introduced methods and perturbR package provide psychological researchers with essential tools to validate community detection cluster solutions.
  • These approaches enable researchers to distinguish reliable findings from those potentially caused by random data fluctuations, enhancing scientific rigor.