Archive for March, 2010

Modeling Noisy Data with Differential Equations using Observed and Expected Matrices

Tuesday, March 23rd, 2010

Deboeck, P. R. & Boker, S. M. (in press) Modeling Noisy Data with Differential Equations using Observed and Expected Matrices. Psychometrika

Complex intraindividual variability observed in psychology may be well described using differential equations. It is difficult, however, to apply differential equation models in psychological contexts, as time series are frequently short, poorly sampled, and have large proportions of measurement and dynamic error. Furthermore, current methods for differential equation modeling usually consider data that are atypical of many psychological applications. Using embedded and observed data matrices, a statistical approach to differential equation modeling is presented. This approach appears robust to many characteristics common to psychological time series.

The manuscript of this article accepted for publication can be requested as a pdf file from the first author: Pascal Deboeck at University of Kansas.

Resilience-As-Process: Negative Affect, Stress, and Coupled Dynamical Systems

Tuesday, March 23rd, 2010

Montpetit, M. A., Bergeman, C. S., Deboeck, P. R., Tiberio, S. S., & Boker, S. M. (2010) Resilience-As-Process: Negative Affect, Stress, and Coupled Dynamical Systems. Psychology and Aging 25:3, 631-640

This article describes a link between stress and negative affect as a system of coupled linear differential equations. The idea is basically that stress and negative affect are coupled, but that those individuals with higher trait resilience scores would experience stress as being less coupled to changes in negative affect. In addition it was found that higher levels of social support resulted in greater damping of the fluctuations in negative affect and decreased coupling between stress and negative affect.

The manuscript of this article accepted for publication can be requested as a pdf file from the first author: Mignon Montpetit at Illinois Wesleyan University.