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Modeling Drinking Behavior Progression in Youth with Cross-sectional Data: Solving an Under-identified Probabilistic
Xingdi Hu, Xinguang Chen1, Robert L Cook
1Department of Epidemiology, University of Florida, Gainesville, Florida, USA. jimax.chen@ufl.edu.
This study introduces a new Moore-Penrose (M-P) generalized inverse matrix method to solve probabilistic discrete event systems (PDES) models for underage drinking dynamics. The M-P method successfully estimated drinking progression pathways, revealing key age-related patterns.
Area of Science:
- Behavioral Science
- Quantitative Psychology
- Public Health
Background:
- Probabilistic discrete event systems (PDES) offer a method for studying underage drinking dynamics using cross-sectional data.
- PDES model identifiability issues often limit their practical application.
- A novel approach is needed to address these limitations and enhance PDES utility.
Purpose of the Study:
- To develop and test a new method for solving non-identifiable PDES models.
- To apply this method to understand the dynamics of underage alcohol consumption.
Main Methods:
- A PDES model was constructed with four stages: never-drinkers (ND), light/moderate-drinkers (LMD), heavy-drinkers (HD), and ex-drinkers (XD), with 13 transition paths.
- Data from the 2012 National Survey on Drug Use and Health (NSDUH) for individuals aged 12-21 were utilized.
- The Moore-Penrose (M-P) generalized inverse matrix method was employed to solve the PDES model.
Main Results:
- The M-P generalized inverse matrix approach successfully estimated annual transitional probabilities for 13 drinking progression pathways by age group.
- An inverse "J" shaped curve characterized experimental alcohol use patterns from adolescence to young adulthood.
- A significant increase in initiating light/moderate and heavy drinking was observed after age 18, alongside a sharp decrease in quitting.
Conclusions:
- The M-P method provides a unique solution for partially-observed PDES drinking behavior models, aligning with developmental perspectives on underage drinking.
- This approach enhances the utility of PDES for analyzing health behaviors using readily available cross-sectional data.
- The tested M-P approach is a valuable tool for future research on health behaviors.
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