Direct fit of a theoretical model of phase transition in oscillatory finger motions

Br J Math Stat Psychol. 2003 Nov;56(Pt 2):199-214. doi: 10.1348/000711003770480002.

Abstract

This paper presents a general method to fit the Schöner-Haken-Kelso (SHK) model of human movement phase transitions directly to time series data. A robust variant of the extended Kalman filter technique is applied to the data of a single subject. The options of covariance resetting and iteration within recursion were used to obtain time-dependent estimates of both the alpha and beta parameters in the SHK model. Comparison between transition onset time and the time at which /beta(t/T)/alpha(t/T)/ becomes critical indicates that the transitions are advanced by noise. The method can be extended to handle non-normal data and generalization across subjects and/or experimental conditions.

MeSH terms

  • Adult
  • Algorithms
  • Fingers
  • Humans
  • Models, Statistical*
  • Motor Activity*
  • Nonlinear Dynamics
  • Oscillometry / statistics & numerical data*