Modeling Drinking Behavior Progression in Youth with Cross-sectional Data: Solving an Under-identified Probabilistic Discrete Event System

Author(s): Xingdi Hu, Xinguang Chen, Robert L. Cook, Ding-Geng Chen, Chukwuemeka Okafor

Journal Name: Current HIV Research
HIV and Viral Immune Diseases

Volume 14 , Issue 2 , 2016

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Graphical Abstract:


Background: The probabilistic discrete event systems (PDES) method provides a promising approach to study dynamics of underage drinking using cross-sectional data. However, the utility of this approach is often limited because the constructed PDES model is often non-identifiable. The purpose of the current study is to attempt a new method to solve the model.

Methods: A PDES-based model of alcohol use behavior was developed with four progression stages (never-drinkers [ND], light/moderate-drinker [LMD], heavy-drinker [HD], and ex-drinker [XD]) linked with 13 possible transition paths. We tested the proposed model with data for participants aged 12-21 from the 2012 National Survey on Drug Use and Health (NSDUH). The Moore-Penrose (M-P) generalized inverse matrix method was applied to solve the proposed model.

Results: Annual transitional probabilities by age groups for the 13 drinking progression pathways were successfully estimated with the M-P generalized inverse matrix approach. Result from our analysis indicates an inverse “J” shape curve characterizing pattern of experimental use of alcohol from adolescence to young adulthood. We also observed a dramatic increase for the initiation of LMD and HD after age 18 and a sharp decline in quitting light and heavy drinking.

Conclusion: Our findings are consistent with the developmental perspective regarding the dynamics of underage drinking, demonstrating the utility of the M-P method in obtaining a unique solution for the partially-observed PDES drinking behavior model. The M-P approach we tested in this study will facilitate the use of the PDES approach to examine many health behaviors with the widely available cross-sectional data.

Keywords: Behavioral model, cross-sectional data, Moore-Penrose generalized inverse matrix, non-identifiable system PDES, transitional probability, underage drinking.

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Article Details

Year: 2016
Published on: 28 October, 2015
Page: [93 - 100]
Pages: 8
DOI: 10.2174/1570162X13666151029102044

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