E-Book Overview
Each volume in the Notre Dame Series on Quantitative Methodology features leading methodologists and substantive experts who provide instruction on innovative techniques designed to enhance quantitative skills in a substantive area. This latest volume focuses on the methodological issues and analyses pertinent to understanding psychological data from a dynamical system perspective. Dynamical systems analysis (DSA) is increasingly used to demonstrate time-dependent variable change. It is used more and more to analyze a variety of psychological phenomena such as relationships, development and aging, emotional regulation, and perceptual processes.
The book opens with the best occasions for using DSA methods. The final two chapters focus on the application of dynamical systems methods to problems in psychology such as substance use and gestural dynamics. In addition, it reviews how and when to use:
time series models from a discrete time perspective
stochastic differential equations in continuous time
estimating continuous time differential equation models
multilevel models of differential equations to estimate within-person dynamics and the corresponding population means
new SEM models for dynamical systems data
Data Analytic Techniques for Dynamical Systems is beneficial to advanced students and researchers in the areas of developmental psychology, family studies, language processes, cognitive neuroscience, social and personality psychology, medicine, and emotion. Due to the book’s instructive nature, it serves as an excellent text for advanced courses on this particular technique.
E-Book Content
The Notre :bame Series on Quantitative Methodology Building on the strength of Notre Dame as a center for training in quantitative psychology, the Notre Dame Series on Quantitative Methodology (NDSQM) offers advanced training in quantitative methods for social and behavioral research. Leading experts in data analytic techniques provide instruction in state-of-the-art methods designed to enhance quantitative skills in a selected substantive domain. Each volume is the outcome from an annual conference that brings together expert methodologists and a workshop audience of substantive researchers. The substantive researchers are challenged with innovative techniques and the methodologists are challenged by innovative applications. The goal of each conference is to stimulate an emergent substantive and methodological synthesis, enabling the solution of existing problems and bringing forth the realization of new questions that need to be asked. The resulting volumes are targeted towards researchers in a specific substantive area, but also contain innovative techniques of interest to pure methodologists. The books in the series are:
Data Analytic Techniques for Dynamical Systems
Edited by
Steven M. Boker University of Virginia
and Michael J. Wenger
• Methodological issues in aging research, co-edited by Cindy S. Bergeman and Steven M. Boker (2006)
Pennsylvania State University
• Data Analytic Techniques for Dynamical Systems, co-edited by Steven M. Boker and Michael J. Wenger (2007) • Statistical and Process Mode ls for Cognitive Neuroscience and Aging, co-edited by Michael J. Wenger and Christ of Schuster (2007)
~ 2007
LAWRENCE ERLBAUM ASSOCIATES, PUBLISHERS Mahwah, New Jersey London
Table of Contents Camera ready copy for this book was provided by the editofs.
Preface Steven M. Boker
vii
1
1
Dynamical Systems: It's About Time Bennett I. Bertenthal
2
Repeated Time Series Models for Learning Data Michael W. Browne and Guangjian Zhang
25
3
Dynamic Extensions of Latent Difference Score Models Fumiaki H amagami f3 John J. M cA rdl