ArticlePsychometrika2018
Representing Sudden Shifts in Intensive Dyadic Interaction Data Using Differential Equation Models with Regime Switching.
Article in Psychometrika, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Simultaneous detection of gradual and abrupt structural changes in Bayesian longitudinal modelling using entropy and model fit measures.The British journal of mathematical and statistical psychology · 2026Article
- Healthy Mom Zone Adaptive Intervention With a Novel Control System and Digital Platform to Manage Gestational Weight Gain in Pregnant Women With Overweight or Obesity: Study Design and Protocol for a Randomized Controlled Trial.JMIR research protocols · 2025Article
- Unsupervised Model Construction in Continuous-Time.Structural equation modeling : a multidisciplinary journal · 2025Article
- Estimation of nonlinear mixed-effects continuous-time models using the continuous-discrete extended Kalman filter.The British journal of mathematical and statistical psychology · 2023Article
- Computational approaches to understanding interaction and development.Advances in child development and behavior · 2022Article
- Human attachment as a multi-dimensional control system: A computational implementation.Frontiers in psychology · 2022Article
- "Dancing" Together: Infant-Mother Locomotor Synchrony.Child development · 2021Article
- Identifying Qualitative Between-Subject and Within-Subject Variability: A Method for Clustering Regime-Switching Dynamics.Frontiers in psychology · 2020Article
- Gaussian Process Panel Modeling-Machine Learning Inspired Analysis of Longitudinal Panel Data.Frontiers in psychology · 2020Article
- What's for dynr: A Package for Linear and Nonlinear Dynamic Modeling in R.The R journal · 2019Article
- dynr.mi: An R Program for Multiple Imputation in Dynamic Modeling.World academy of science, engineering and technology · 2019Article
- What Technology Can and Cannot Do to Support Assessment of Non-cognitive Skills.Frontiers in psychology · 2019Article
- Multiple Imputation with Factor Scores: A Practical Approach for Handling Simultaneous Missingness Across Items in Longitudinal Designs.Multivariate behavioral researchArticle
- A Person- and Time-Varying Vector Autoregressive Model to Capture Interactive Infant-Mother Head Movement Dynamics.Multivariate behavioral researchArticle
- Practical Tools and Guidelines for Exploring and Fitting Linear and Nonlinear Dynamical Systems Models.Multivariate behavioral researchArticle
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9 authors.
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Abstract
A growing number of social scientists have turned to differential equations as a tool for capturing the dynamic interdependence among a system of variables. Current tools for fitting differential equation models do not provide a straightforward mechanism for diagnosing evidence for qualitative shifts in dynamics, nor do they provide ways of identifying the timing and possible determinants of such shifts. In this paper, we discuss regime-switching differential equation models, a novel modeling framework for representing abrupt changes in a system of differential equation models. Estimation was performed by combining the Kim filter (Kim and Nelson State-space models with regime switching: classical and Gibbs-sampling approaches with applications, MIT Press, Cambridge, 1999) and a numerical differential equation solver that can handle both ordinary and stochastic differential equations. The proposed approach was motivated by the need to represent discrete shifts in the movement dynamics of [Formula: see text] mother-infant dyads during the Strange Situation Procedure (SSP), a behavioral assessment where the infant is separated from and reunited with the mother twice. We illustrate the utility of a novel regime-switching differential equation model in representing children's tendency to exhibit shifts between the goal of staying close to their mothers and intermittent interest in moving away from their mothers to explore the room during the SSP. Results from empirical model fitting were supplemented with a Monte Carlo simulation study to evaluate the use of information criterion measures to diagnose sudden shifts in dynamics.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.