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 language | English (US) |
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Pages (from-to) | 159-177 |
Number of pages | 19 |
Journal | Psychological Methods |
Volume | 10 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2005 |
Keywords
- Cyclical
- Dynamical
- Models
- Multilevel
- Systems
ASJC Scopus subject areas
- Psychology (miscellaneous)