title: Coupled latent differential equation with moderators: simulation and application.
abstract: Latent differential equations (LDE) use differential equations to analyze time series data. Because of the recent development of this technique, some issues critical to running an LDE model remain. In this article, the authors provide solutions to some of these issues and recommend a step-by-step procedure demonstrated on a set of empirical data, which models the interaction between ovarian hormone cycles and emotional eating. Results indicated that emotional eating is self-regulated. For instance, when people do more emotional eating than normal, they will subsequently tend to decrease their emotional eating behavior. In addition, a sudden increase will produce a stronger tendency to decrease than will a slow increase. We also found that emotional eating is coupled with the cycle of the ovarian hormone estradiol, and the peak of emotional eating occurs after the peak of estradiol. The self-reported average level of negative affect moderates the frequency of eating regulation and the coupling strength between eating and estradiol. Thus, people with a higher average level of negative affect tend to fluctuate faster in emotional eating, and their eating behavior is more strongly coupled with the hormone estradiol. Permutation tests on these empirical data supported the reliability of using LDE models to detect self-regulation and a coupling effect between two regulatory behaviors.
authors: Department of Psychology, University of Virginia.
authors: Yueqin
authors: Y
authors: Hu
authors: Department of Psychology, University of Virginia.
authors: Steve
authors: S
authors: Boker
authors: Department of Psychiatry and Human Genetics, Virginia Commonwealth University.
authors: Michael
authors: M
authors: Neale
authors: Department of Psychology, Michigan State University.
authors: Kelly L
authors: KL
authors: Klump
mesh_terms: D004958:Estradiol / Q000502:physiology*; D005247:Feeding Behavior / Q000502:physiology* / Q000523:psychology; D005260:Female; D006801:Humans; D008597:Menstrual Cycle / Q000502:physiology* / Q000523:psychology; D015233:Models, Statistical; D015203:Reproducibility of Results; D013223:Statistics as Topic; D013997:Time Factors
chemical_list: D004958:Estradiol
references: Multivariate Behav Res. 2008 Oct 1;43(4):497-523
references: 19829740
references: Biol Cybern. 1995 Nov;73(6):499-507
references: 8527496
references: Psychol Med. 2007 Jan;37(1):131-41
references: 17038206
references: Psychometrika. 2011 Apr 1;76(2):306-317
references: 23258944
references: Nonlinear Dynamics Psychol Life Sci. 2010 Jan;14(1):27-46
references: 20021776
references: Psychol Methods. 2005 Jun;10(2):159-77
references: 15998175
references: Emotion. 2005 Jun;5(2):208-25
references: 15982086
references: J Pers. 2009 Dec;77(6):1777-804
references: 19807864
references: Psychol Med. 2008 Dec;38(12):1749-57
references: 18307829
references: Psychol Aging. 2010 Sep;25(3):631-40
references: 20853969
references: Psychol Methods. 2002 Sep;7(3):338-55
references: 12243305
references: J Gerontol B Psychol Sci Soc Sci. 2004 Jul;59(4):P158-67
references: 15294919
references: Multivariate Behav Res. 2007 Apr-Jun;42(2):283-321
references: 26765489
references: Am J Psychiatry. 2009 May;166(5):575-82
references: 19369320
references: J Pers Soc Psychol. 1988 Jun;54(6):1063-70
references: 3397865
references: Psychometrika. 2010 Mar;75(1):158-175
references: 23335820
references: Multivariate Behav Res. 1998 Oct 1;33(4):479-507
references: 26753826
references: Psychol Rev. 1993 Jul;100(3):432-59
references: 8356185
references: Psychol Methods. 2009 Dec;14(4):367-86
references: 19968398
references: Multivariate Behav Res. 2002 Jan 1;37(1):127-60
references: 26824172
references: J Abnorm Psychol. 2013 Feb;122(1):131-7
references: 22889242