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Cusp Catastrophe Regression and Its Application in Public Health and Behavioral Research

Bibliographic Data

ID15475842
AuthorsDing‐Geng Chen (0000-0002-3199-8665, University of North Carolina at Chapel Hill, corresponding author), Xinguang Chen (0000-0001-8263-643X, University of Florida)
Year2017
Volume14
Issue10
Pages1220-1220
Publication date2017-10-13
Open AccessYes
TypeARTICLE
VenueInternational Journal of Environmental Research and Public Health (JOURNAL)
Journal identifiersISSN: 1661-7827 • E-ISSN: 1660-4601
PublisherMultidisciplinary Digital Publishing Institute (PUBLISHER • CH)
DOI10.3390/ijerph14101220
PMID29027967
OpenAlexW2763198541
LanguageEN
Citations received3
References cited6

The cusp catastrophe model is an innovative approach for investigating a phenomenon that consists of both continuous and discrete changes in one modeling framework. However, its application to empirical health and behavior data has been hindered by the complexity in data-model fit. In this study, we reported our work in the development of a new modeling method-cusp catastrophe regression (RegCusp in short) by casting the cusp catastrophe into a statistical regression. With the RegCusp approach, unbiased model parameters can be estimated with the maximum likelihood estimation method. To validate the RegCusp method, a series of simulations were conducted to demonstrate the unbiasedness of parameter estimation. Since the estimated residual variance with the Fisher information matrix method was over-dispersed, a bootstrap re-sampling procedure was developed and used as a remedy. We also demonstrate the practical applicability of the RegCusp with empirical data from an NIH-funded project to evaluate an HIV prevention intervention program to educate adolescents in the Bahamas for condom use. Study findings indicated that the model parameters estimated with RegCusp were practically more meaningful than those estimated with comparable methods, especially the estimated cusp point

Catastrophe theory · Cusp (singularity · Econometrics · Point estimation · Regression · Regression analysis · Statistics · Variance (accounting · Complex Systems and Decision Making · Computer Science · COVID-19 epidemiological studies · Engineering · Forecasting Techniques and Applications · Mathematics

  • An exploratory statistical cusp catastrophe model for the prediction of the effect of special education teachers’ emotional intelligence on their burnout

    Open Access•Alexandros-Stamatios Antoniou, Αλέξανδρος-Σταμάτιος Αντωνίου et al.•Frontiers in Education•2025

  • Exploring the Role of Interfaces in Microcontroller Circuits

    Open Access•Sokratis Tselegkaridis, Theodosios Sapounidis et al.•IEEE Transactions on Education•2025

  • Non-linear characteristics in switching intention to use a docked bike-sharing system

    Open Access•Yi-Wen Kuo, Cheng-Hsien Hsieh et al.•Transportation•2021

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  • Adolescent HIV Risk Reduction in the Bahamas

    Open Access•Bonita Stanton, Veronica Dinaj-Koci et al.•AIDS and Behavior•2015

  • A Cluster Randomized Controlled Trial of an Adolescent HIV Prevention Program Among Bahamian Youth

    Open Access•Xinguang Chen, Sonja Lunn et al.•AIDS and Behavior•2008

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  • Sudden Transitions in Attitudes

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Citations per year0.6
Citation span2021 - 2025 (5)
Highly citedNo

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