Multilevel modeling of two cyclical processes: Extending differential structural equation modeling to nonlinear coupled systems

Jonathan Butner, Polemnia Amazeen, Genna M. Mulvey

Research output: Contribution to journalArticle

49 Scopus citations

Abstract

The authors present a dynamical multilevel model that captures changes over time in the bidirectional, potentially asymmetric influence of 2 cyclical processes. S. M. Boker and J. Graham's (1998) differential structural equation modeling approach was expanded to the case of a nonlinear coupled oscillator that is common in bimanual coordination studies in which participants swing hand-held pendulums but is also applicable to social systems in general. The authors' nonlinear coupled oscillator model decomposed the fluctuations into a competitive component, unique to each individual variable, and a cooperative component that captured bidirectional influence. The authors' model also generated an index of the symmetry/asymmetry of bidirectional influence. Together, the models are useful quantitative tools for the study of interacting, changing processes.

Original languageEnglish (US)
Pages (from-to)159-177
Number of pages19
JournalPsychological Methods
Volume10
Issue number2
DOIs
StatePublished - Jun 1 2005

Keywords

  • Cyclical
  • Dynamical
  • Models
  • Multilevel
  • Systems

ASJC Scopus subject areas

  • Psychology (miscellaneous)

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