Coupled latent differential equation with moderators: Simulation and application

Psychological Methods

Volumn 19, Issue 1, 2014, Pages 56-71

  Hu, Yueqin ^a   Bokerm, Steve ^a   Neale, Michael ^b   Klump, Kelly L ^c  

^a UNIVERSITY OF VIRGINIA   (United States)

^b VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

^c MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Dynamical systems; Emotional eating; Latent differential equations; Moderator variables; Ovarian hormones

Indexed keywords

ESTRADIOL;

FEEDING BEHAVIOR; FEMALE; HUMAN; MENSTRUAL CYCLE; PHYSIOLOGY; PSYCHOLOGY; REPRODUCIBILITY; STATISTICAL MODEL; STATISTICS; TIME;

ESTRADIOL; FEEDING BEHAVIOR; FEMALE; HUMANS; MENSTRUAL CYCLE; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS; STATISTICS AS TOPIC; TIME FACTORS;

EID: 84897937980     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/a0032476     Document Type: Article

References (36)

1. Amazeen, P. G., Amazeen, E. L., & Turvey, M. T. (1998). Dynamics of human intersegmental coordination: Theory and research. In D. A. Rosenbaum & C. E. Collyer (Eds.), Timing of behavior: Neural, computational, and psychological perspectives (pp. 237-259). Cambridge, MA: MIT Press.
2. Beek, P. J., Schmidt, R. C., Morris, A. W., Sim, M.-Y., & Turvey, M. T. (1995). Linear and nonlinear stiffness and friction in biological rhythmic movements. Biological Cybernetics, 73, 499-507.
3. Beltrami, E. J. (1987). Mathematics for dynamic modeling. New York, NY: Academic Press.
4. Bisconti, T. L., Bergeman, C. S., & Boker, S. M. (2004). Emotional well-being in recently bereaved widows: A dynamical systems approach. Journals of Gerontology, Series B: Psychological Sciences and Social Sciences, 59, P158-P167.
5. Boker, S. M., & Bisconti, T. L. (2006). Dynamical systems modeling in aging research. In C. S. Bergeman & S. M. Boker (Eds.), Methodological issues in aging research (pp. 185-229). Mahwah, NJ: Erlbaum.
6. Boker, S. M., & Graham, J. (1998). A dynamical systems analysis of adolescent substance abuse. Multivariate Behavioral Research, 33, 479- 507.
7. Boker, S., Neale, M., Maes, H., Wilde, M., Spiegel, M., Brick, T.,... Bates, T. (2011). OpenMx: An open source extended structural equation modeling framework. Psychometrika, 76, 306-317.
8. Boker, S. M., Neale, M. C., & Rausch, J. R. (2003). Latent differential equation modeling with multivariate multi-occasion indicators. In H. O. K. van Montfort & A. Satorra (Eds.), Recent developments on structural equation models: Theory and applications (pp. 151-174). Amsterdam, the Netherlands: Kluwer.
9. Boker, S. M., & Nesselroade, J. R. (2002). A method for modeling the intrinsic dynamics of intraindividual variability: Recovering the parameters of simulated oscillators in multi-wave panel data. Multivariate Behavioral Research, 37, 127-160.
10. Boker, S. M., Xu, M., Rotondo, J. L., & King, K. (2002). Windowed cross-correlation and peak picking for the analysis of variability in the association between behavioral time series. Psychological Methods, 7, 338-355.
11. Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1970). Time series analysis: Forecasting and control (4th ed.). New York, NY: Wiley.
12. Busemeyer, J. R., & Townsend, J. T. (1993). Decision field theory: A dynamic cognition approach to decision making. Psychological Review, 100, 432-459.
13. Butner, J., Amazeen, P. G., & Mulvey, G. M. (2005). Multilevel modeling of two cyclical processes: Extending differential structural equation modeling to nonlinear coupled systems. Psychological Methods, 10, 159-177.
14. Chow, S.-M., Ferrer, E., & Nesselroade, J. R. (2007). An unscented Kalman filter approach to the estimation of nonlinear dynamical systems models. Multivariate Behavioral Research, 42, 283-321.
15. Chow, S.-M., Ram, N., Boker, S. M., Fujita, F., & Clore, G. (2005). Emotion as a thermostat: Representing emotion regulation using a damped oscillator model. Emotion, 5, 208-225.
16. Deboeck, P. R., Boker, S. M., & Bergeman, C. (2008). Modeling individual damped linear oscillator processes with differential equations: Using surrogate data analysis to estimate the smoothing parameter. Multivariate Behavioral Research, 43, 497-523.
17. Deboeck, P. R., Montpetit, M. A., Bergeman, C. S., & Boker, S. M. (2009). Using derivative estimates to describe intraindividual variability at multiple time scales. Psychological Methods, 14, 367-386.
18. Duncan, T. E., Duncan, S. C., Strycker, A. L., Li, F., & Alpert, A. (1999). An introduction to latent variable growth curve modeling: Concepts, issues, and applications. Mahwah, NJ: Erlbaum.
19. Edler, C., Lipson, S. F., & Keel, P. K. (2007). Ovarian hormones and binge eating in bulimia nervosa. Psychological Medicine, 37, 131-141.
20. Finan, P. H., Hessler, E. E., Amazeen, P. G., Butner, J., Zautra, A. J., & Tennen, H. (2010). Oscillations in daily pain prediction accuracy. Nonlinear Dynamics, Psychology, and Life Sciences, 14, 27-46.
21. Fisher, R. A. (1935). The design of experiment. New York, NY: Hafner.
22. Hajek, O. (1968). Dynamical systems in the plane. Boston, MA: Academic Press.
23. Klump, K. L., Keel, P. K., Culbert, K. M., & Edler, C. (2008). Ovarian hormones and binge eating: Exploring associations in community samples. Psychological Medicine, 38, 1749-1757.
24. Klump, K. L., Keel, P. K., Racine, S. E., Burt, S. A., Neal, M., Sisk, C. L.,... Hu, J. Y. (2013). The interactive effects of estrogen and progesterone on changes in binge eating across the menstrual cycle. Journal of Abnormal Psychology, 122, 131-137.
25. McCall, R. B., & Appelbaum, M. I. (1973). Bias in the analysis of repeated-measures designs: Some alternative approaches. Child Development, 44, 401-415.
26. 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, 631-640.
27. Noakes, L. (1991). The Takens embedding theorem. International Journal of Bifurcation and Chaos, 1, 867- 872.
28. Odgers, C. L., Mulvey, E. P., Skeem, J. L., Gardner, W., Lidz, C. W., & Schubert, C. (2009). Capturing the ebb and flow of psychiatric symptoms with dynamical systems models. The American Journal of Psychiatry, 166, 575-582.
29. Ong, A. D., Bergeman, C. S., & Boker, S. M. (2009). Resilience comes of age: Defining features in later adulthood. Journal of Personality, 77, 1777-1804.
30. Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage.
31. Schreiber, T., & Schmitz, A. (2000). Surrogate time series. Physica D: Nonlinear Phenomena, 142, 346-382.
32. Theiler, J., Eubank, S., Longtin, A., & Galdrikian, B. (1992). Testing for nonlinearity in time series: The method of surrogate data. Physica D: Nonlinear Phenomena, 58, 77-94.
33. Van Strien, T., Frijters, J. E. R., Bergers, G. P. A., & Defares, P. B. (1986). The Dutch Eating Behaviour Questionnaire for assessment of restrained, emotional, and external eating behaviour. International Journal of Eating Disorders, 5, 295-315.
34. Von Oertzen, T., & Boker, S. M. (2010). Time delay embedding increases estimation precision of models of intraindividual variability. Psychometrika, 75, 158-175.
35. Watson, D., Clark, L. A., & Tellegen, A. (1988). Development of validation of brief measures of positive and negative affect: The PANAS scales. Journal of Personality and Social Psychology, 54, 1063-1070.
36. Welch, W. J. 1990). Construction of permutation tests. Journal of American Statistical Association, 85, 693-698.