ArticlePsychological methods2015
The cusp catastrophe model as cross-sectional and longitudinal mixture structural equation models.
Article in Psychological methods, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 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
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- Common and unique latent transition analysis (CULTA) as a way to examine the trait-state dynamics of alcohol intoxication.Psychology of addictive behaviors : journal of the Society of Psychologists in Addictive Behaviors · 2025Article
- Whole Person Recovery from Substance Use Disorder: A Call for Research Examining a Dynamic Behavioral Ecological Model of Contexts Supportive of Recovery.Addiction research & theory · 2025Article
- Data driven mixed effects modeling of the dual process framework of addiction among individuals with alcohol use disorder.PloS one · 2023Article
- Conceptualizing and Examining Change in Communication Research.Communication methods and measures · 2023Article
- Bayesian Forecasting with a Regime-Switching Zero-Inflated Multilevel Poisson Regression Model: An Application to Adolescent Alcohol Use with Spatial Covariates.Psychometrika · 2022Article
- Mechanisms of Behavior Change in Substance Use Disorder With and Without Formal Treatment.Annual review of clinical psychology · 2022Review
- Pursuing Collective Synchrony in Teams: A Regime-Switching Dynamic Factor Model of Speed Similarity in Soccer.Psychometrika · 2021Article
- Patterns of transitions between relapse to and remission from heavy drinking over the first year after outpatient alcohol treatment and their relation to long-term outcomes.Journal of consulting and clinical psychology · 2020Article
- A complex systems approach to the study of change in psychotherapy.BMC medicine · 2020Article
- What's for dynr: A Package for Linear and Nonlinear Dynamic Modeling in R.The R journal · 2019Article
- Zero-Inflated Regime-Switching Stochastic Differential Equation Models for Highly Unbalanced Multivariate, Multi-Subject Time-Series Data.Psychometrika · 2019Article
- Scalar-on-function regression for predicting distal outcomes from intensively gathered longitudinal data: Interpretability for applied scientists.Statistics surveys · 2019Article
- Advancing Analytic Approaches to Address Key Questions in Mechanisms of Behavior Change Research.Journal of studies on alcohol and drugs · 2018Article
- Self-Regulation Shift Theory: A Dynamic Personal Agency Approach to Recovery Capital and Methodological Suggestions.Frontiers in psychology · 2018Review
- Complex Systems Research in Educational Psychology: Aligning Theory and Method.Educational psychologist · 2018Article
- Practical Tools and Guidelines for Exploring and Fitting Linear and Nonlinear Dynamical Systems Models.Multivariate behavioral researchArticle
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4 authors.
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Abstract
Catastrophe theory (Thom, 1972, 1993) is the study of the many ways in which continuous changes in a system's parameters can result in discontinuous changes in 1 or several outcome variables of interest. Catastrophe theory-inspired models have been used to represent a variety of change phenomena in the realm of social and behavioral sciences. Despite their promise, widespread applications of catastrophe models have been impeded, in part, by difficulties in performing model fitting and model comparison procedures. We propose a new modeling framework for testing 1 kind of catastrophe model-the cusp catastrophe model-as a mixture structural equation model (MSEM) when cross-sectional data are available; or alternatively, as an MSEM with regime-switching (MSEM-RS) when longitudinal panel data are available. The proposed models and the advantages offered by this alternative modeling framework are illustrated using 2 empirical examples and a simulation study.
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