Adaptive Equilibrium Regulation: Modeling Individual Dynamics on Multiple Timescales. Issue 6 (2nd November 2018)

• Record Type: Journal Article
• Authors: McKee, Kevin L.; Rappaport, Lance M.; Boker, Steven M.; Moskowitz, Debbie S.; Neale, Michael C.
• Is Part Of: Structural equation modeling. Volume 25:Issue 6(2018)
• Page Start: 888
• Page End: 905
• Publication Date: 2018-11-02
• Subjects: Dynamical systems -- feedback control -- intra-individual -- multi-timescale; Multivariate analysis -- Periodicals; Social sciences -- Statistical methods -- Periodicals; 519.535
• DOI: 10.1080/10705511.2018.1442224
• Languages: English
• ISSNs: 1070-5511

Abstract

Abstract : Damped Linear Oscillators estimated by 2nd-order Latent Differential Equation have assumed a constant equilibrium and one oscillatory component. Lower-frequency oscillations may come from seasonal background processes, which non-randomly contribute to deviation from equilibrium at each occasion and confound estimation of dynamics over shorter timescales. Boker (2015) proposed a model of individual change on multiple timescales, but implementation, simulation, and applications to data have not been demonstrated. This study implemented a generalization of the proposed model; examined robustness to varied timescale ratios, measurement error, and occasions-per-person in simulated data; and tested for dynamics at multiple timescales in experience sampling affect data. Results show small standard errors and low bias to dynamic estimates at timescale ratios greater than 3:1. Below 3:1, estimate error was sensitive to noise and total occasions; rates of non-convergence increased. For affect data, model comparisons showed statistically significant dynamics at both timescales for both participants.