Chapter
Aug 31, 2020
International Conference on Transportation and Development 2020

A Two-Level Random Intercept Logit Model for Predicting Pedestrian-Vehicle Crash

Publication: International Conference on Transportation and Development 2020

ABSTRACT

The issue relating to pedestrian with motor vehicles crashes has received more attention in recent years. In this paper the two-level random intercept model for pedestrian crashes severity prediction that accounts for the interdependent characteristics was introduced. A thought is proposed in this paper by using Bayesian probability inference to calculate the parameters rather than the maximum likelihood method, setting parameter distribution for each parameter, using Monte Carlo Markov (MCMC) algorithm to generate model parameter distributions. To demonstrate this approach, pedestrian crashes data from Colorado is divided into spatial categories: urban road intersection, urban road section, and driveway access. The result shows that the prediction accuracy of Bayesian probability inference is better than the traditional ones of urban road intersection and urban road section. The results prove that causes of pedestrian death or injury crashes at intersections are: pedestrian age, pedestrian direction, vehicle type, and driver speed. Significant factors causing pedestrian death or injury on urban road sections including: road condition, lighting condition, belt use, and driver speed. The analysis results reflect the objective feasibility of the model and the method for model parameter estimation optimization. It is expected that the two-level intercept model and Bayesian probabilistic inference model optimization method can help more researchers, transportation officials, and urban city community planners to make more efficient treatments to proactively improve pedestrian safety.

Get full access to this article

View all available purchase options and get full access to this chapter.

REFERENCES

Retting, R. Pedestrian Traffic Fatalities by State. Governors Highway Safety Association, Washington, DC, 2017.
United States. National Highway Traffic Safety, A. Traffic Safety Facts 2015: A Compilation of Motor Vehicle Crash Data from the Fatality Analysis Reporting System and the General Estimates System, Washington, D.C. : U.S. Dept. of Transportation, National Center for Statistics and Analysis, National Highway Traffic Safety Administration 2015.
Hatfield, J., R. Fernandes, R. S. Job, and K. Smith. (2012). “Misunderstanding of Right-of-Way Rules at Various Pedestrian Crossing Types: Observational Study and Survey.” Accident Analysis & Prevention 39(4): 833-842.
National Bureau of Statistics of China (NBS). (2017).Traffic Crashes Statistic of Traffic Accidents, Beijing. < http://www.stats.gov.cn/.>
Kim, S. G. “Walking Accident Characteristics and Walking Factors for Road Crossing of the Transportation Vulnerable in the Case of Yeo su. (2016).” Journal of Digital Convergence 14(6): 439-448.
Barić, D., H. Pilko, and M. Starčević. (2018). “Introducing Experiment in Pedestrian Behaviour and Risk Perception Study at Urban Level Crossing.” International journal of injury control and safety promotion 25(1): 102-112.
Olszewski, P., P. Szagała, M. Wolański, and A. Zielińska. (2015). “Pedestrian Fatality Risk in Accidents at Unsignalized Zebra Crosswalks in Poland.” Accident Analysis & Prevention 84: 83-91.
Mcfadden, D., and Train, K. “Mixed MNL models for discrete response”. (2000). Journal of applied Econometrics 15(5):447-471.
Al-Ghamdi, A. S. (2002). “Using logistic regression to estimate the influence of accident factors on accident severity. ” Accident Analysis & Prevention 34(6): 729-741.
Shankar, V., and Mannering, F. (1996). “An exploratory multinomial logit analysis of single-vehicle motorcycle accident severity.” Journal of Safety Research 27(3): 183-194.
Cao, S. R. Su, Y. N., and Tian, M. Z. “Bayesian inference based on hierarchical linear model and its application.” Statistics and Decision 2015 3.
Clark, J. S. et al., Synthesizing Ecological Experiments and Observational Data with Hierarchical Bayes, Pages 41-58 in J. S. Clark, and A. Gelfand, Application of Computational Statistics in the Environmental Science: Hierarchical Bayes and MCMC Methods, Oxford University Press, 2006.
B.E., Chen, W., Jiang, D., and Tu. (2014). “A Hierarchical Bayes Models for Biomarker Subset Effects in Clinical Trials” Computational Statistics & Data Analysis 71: 324-334.
Elsner, J. B., Jagger, T. H.(2004). “A Hierarchical Bayesian Approach to Seasonal Hurricane Modelling.” Journal of Climate 17(15): 2813-2826.
James, S. C., Michael W., Michael D., et al.(2007). “Miranda Welsh and Brian Kloeppel Tree Growth Inference and Prediction From Diameter Censuses and Ring Widths.” Ecological Applications 17(7): 1942-1953.
Zhang, L., Lei, L., and Guo, B. L.(2002) Multi-level linear model application [M]. Beijing:educational sciences publishing house, Beijing, China.
Pei X. Bayesian approach to road safety analyses.(2011). the University of Hong Kong Press, Hong Kong, China.
Dong, C., Clarke, D. B., and Yan, X.(2014). “Multivariate random-parameters zero-inflated negative binomial regression model: An application to estimate crash frequencies at intersections.” Accident Analysis & Prevention 70(2014): 320-329.
Ma, J., Kockelman, K. M., and Damien, P. (2008). “A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods.” Accident Analysis &Prevention 40(3): 964-975.
Zeng, Q., and Huang, H. (2014). “Bayesian spatial joint modeling of traffic crashes on an urban road network.” Accident Analysis & Prevention., 67(2014): 105-112.
Wang, L. Y. Factors influencing road traffic accidents in China Statistical regression analysis.(2016) Beijing: Transportation research institute, department of civil engineering, Tsinghua university, June 2016.
Huang, H., and Abdel-Aty, M. (2010). “Multilevel data and Bayesian analysis in traffic safety.” Accident Analysis & Prevention 42(6): 1556-1565.
Xie, K., Wang, X. S., Huang, H. L., and Chen, X. H.(2013). “Corridor-level signalized intersection safety analysis in Shanghai, China using Bayesian hierarchical models.” Accident Analysis & Prevention 2013(50): 25-33.
Laird, N. M., and Ware, J. H.(1982). “Random-Effects Models for Longitudinal Data.” Biometrics 38(4): 963-974.
Von Tress, M.(2003) “ Generalized, Linear, and Mixed Models.” Technometrics, 45(1), 99.
Joe, H.(2008). “Accuracy of Laplace Approximation for Discrete Response Mixed Models.” Computational Statistics & Data Analysis 52(12): 5066-5074.
Vaughn, B. K. Data Analysis Using Regression and Multilevel/Hierarchical Models. (2008). Cambridge University Press, Cambridgeshire, United Kingdom.
Mastrangelo, C. M. Multilevel Statistical Models.(2011). In, Taylor & Francis, Wiley Press.
Andrews, M., T. Schank, and R. Upward.(2006) “Practical Fixed-Effects Estimation Methods for the Three-Way Error-Components Model.” The Stata Journal 6(4): 461-481.
Marchenko, Y. V.(2006). “Estimating Variance Components in Stata.” The Stata Journal 6(1) : 1-21.
Harbord, R. M., and Whiting, P. (2009). “Metandi: Meta-Analysis of Diagnostic Accuracy Using Hierarchical Logistic Regression.” The Stata Journal 9(2): 211-229.
Bayes, T. Xliii. (1763). “A Letter from the Late Reverend Mr. Thomas Bayes, Frs to John Canton, Ma and Fr S.” Philosophical Transactions of the Royal Society of London 53, 269-271.
Dale, A.(2005). “Thomas Bayes, an Essay Towards Solving a Problem in the Doctrine of Chances (1764).In Landmark Writings in Western Mathematics 1640-1940.” Elsevier 199-207.
Ng, E. S., Carpenter, J. R., Goldstein, H., and Rasbash, J. (2006). “Estimation in Generalised Linear Mixed Models with Binary Outcomes by Simulated Maximum Likelihood.” Statistical Modelling 6(1): 23-42.
Self, S. G., and Liang, K.-Y.(1987). “Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests under Nonstandard Conditions.” Journal of the American Statistical Association 82(398): 605-610.
Gutierrez, R. G., Carter, S., and Drukker, D. M. (2001). “On Boundary-Value Likelihood-Ratio Tests.” Stata Technical Bulletin 10(60): 2-48.
Lin, X., and Breslow, N. E. (1996). “Bias Correction in Generalized Linear Mixed Models with Multiple Components of Dispersion.” Journal of the American Statistical Association 91(435): 1007-1016.

Information & Authors

Information

Published In

Go to International Conference on Transportation and Development 2020
International Conference on Transportation and Development 2020
Pages: 68 - 81
Editor: Guohui Zhang, Ph.D., University of Hawaii
ISBN (Online): 978-0-7844-8315-2

History

Published online: Aug 31, 2020
Published in print: Aug 31, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

1Ph.D. Candidate, Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing, China; Dept. of Civil Engineering, Univ. of Colorado Denver, Denver, CO. Email: [email protected]
Zhenzhou Yuan, Ph.D. [email protected]
2Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing, China. Email: [email protected]
Bruce Janson, Ph.D. [email protected]
3Dept. of Civil Engineering, Univ. of Colorado Denver, Denver, CO. Email: [email protected]
4Ph.D. Candidate, Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, School of Traffic and Transportation, Beijing Jiaotong Univ., Beijing, China; Dept. of Civil and Environmental Engineering, Univ. of Washington, Seattle, WA. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$80.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share