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Updated: Jun 6, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
A full Bayes multivariate intervention model with random parameters among matched pairs for before-after safety
Karim El-Basyouny1, Tarek Sayed
1Dept. of Civil Engineering, University of British Columbia, Vancouver, BC, Canada V6T 1Z4. basyouny@civil.ubc.ca
Safety improvements at Greater Vancouver intersections significantly reduced injury/fatality crashes by 23% and property damage only crashes by 15%. These findings highlight the effectiveness of specific traffic safety countermeasures.
Area of Science:
- Traffic Safety Engineering
- Transportation Planning
- Statistical Modeling
Background:
- Intersection safety is a critical concern in urban areas.
- Evaluating the effectiveness of implemented safety countermeasures is essential for informed decision-making.
- Existing methods may not fully account for site-specific variations and correlations.
Purpose of the Study:
- To assess the safety performance of improved intersections in Greater Vancouver.
- To quantify the effectiveness of implemented safety countermeasures using a robust statistical approach.
- To explore the impact of specific design features on crash reduction.
Main Methods:
- Utilized a full Bayes approach with a before-after design and matched comparison groups.
- Employed a multivariate Poisson-lognormal intervention model to analyze crash counts by severity.
- Extended the model with random parameters to address correlations between paired sites.
Main Results:
- Overall, significant reductions in predicted crash counts were observed: 23% for injury and fatality (I+F) and 15% for property damage only (PDO).
- Credible intervals at the 0.95 confidence level were (12%, 33%) for I+F and (6%, 24%) for PDO.
- Specific countermeasures showed varying effectiveness: signal visibility (29% I+F, 21% PDO), left turn phase improvement (15% I+F, 4% PDO), and left turn lane installation (21% I+F, 20% PDO).
Conclusions:
- The full Bayes approach with matched comparison groups improves model fit and reduces variation estimates.
- Extended models effectively account for unobserved heterogeneity in road geometry, traffic, environment, and driver behavior.
- Safety countermeasures demonstrate effectiveness, but impact varies by crash severity and location, necessitating tailored solutions.
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