Multilevel modeling of two cyclical processes: extending differential structural equation modeling to nonlinear coupled systems.
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.
Department of Psychology, University of Utah, Salt Lake City, UT 84112-0251, USA. jonathan.butner@psych.utah.edu
Jonathan
J
Butner
Polemnia G
PG
Amazeen
Genna M
GM
Mulvey
D006801:Humans; D008960:Models, Psychological; D011584:Psychology / Q000379:methods*; D011597:Psychomotor Performance; D012919:Social Behavior