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Int. J. Environ. Res. Public Health 2017, 14(10), 1220; https://doi.org/10.3390/ijerph14101220

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

1
School of Social Work, University of North Carolina, Chapel Hill, NC 27599, USA
2
Department of Biostatistics, Gillings School of Global Health, University of North Carolina, Chapel Hill, NC 27599, USA
3
Department of Epidemiology, College of Public Health & Health Professions, College of Medicine, University of Florida, Gainesville, FL 32610, USA
*
Author to whom correspondence should be addressed.
Received: 9 August 2017 / Revised: 25 September 2017 / Accepted: 10 October 2017 / Published: 13 October 2017
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Abstract

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. View Full-Text
Keywords: cusp catastrophe regression; maximum likelihood estimation; bifurcation; asymmetry; bootstrapping; HIV prevention cusp catastrophe regression; maximum likelihood estimation; bifurcation; asymmetry; bootstrapping; HIV prevention
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Chen, D.-G.; Chen, X. Cusp Catastrophe Regression and Its Application in Public Health and Behavioral Research. Int. J. Environ. Res. Public Health 2017, 14, 1220.

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