TECHNICAL PAPERS
Jan 1, 2009

Crash Injury Severity Analysis Using Bayesian Ordered Probit Models

Publication: Journal of Transportation Engineering
Volume 135, Issue 1

Abstract

Understanding the underlying relationship between crash injury severity and factors such as driver’s characteristics, vehicle type, and roadway conditions is very important for improving traffic safety. Most previous studies on this topic used traditional statistical models such as ordered probit (OP), multinomial logit, and nested logit models. This research introduces the Bayesian inference and investigates the application of a Bayesian ordered probit (BOP) model in driver’s injury severity analysis. The OP and BOP models are compared based on datasets with different sample sizes from the 2003 National Automotive Sampling System General Estimates System (NASSGES). The comparison results show that these two types of models produce similar results for large sample data. When the sample data size is small, with proper prior setting, the BOP model can produce more reasonable parameter estimations and better prediction performance than the OP model. This research also shows that the BOP model provides a flexible framework that can combine information contained in the data with the prior knowledge of the parameters to improve model performance.

Get full access to this article

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

Acknowledgments

The writers would like to thank the anonymous reviewers for their valuable comments that substantially improve the quality of this paper.

References

Abdel-Aty, M. (2003). “Analysis of driver injury severity levels at multiple locations using ordered probit models.” J. Safety Res., 34(5), 597–603.
Abdel-Aty, M., and Abdelwahab, H. T. (2004). “Predicting injury severity levels in traffic crashes: A modeling comparison.” J. Transp. Eng., 130(2), 204–210.
Albert, J. H., and Chib, S. (1993). “Bayesian analysis of binary and polychotomous response data.” J. Am. Stat. Assoc., 88(422), 669–679.
Al-Ghamdi, A. S. (2002). “Using logistic regression to estimate the influence of accident factors on accident severity.” Accid. Anal Prev., 34(6), 729–741.
Chang, L. Y., and Mannering, F. (1999). “Analysis of injury severity and vehicle occupancy in truck- and non-truck-involved accidents.” Accid. Anal Prev., 31(5), 579–592.
Congdon, P. (2003). Applied Bayesian modelling, Wiley, West Sussex, U.K.
Cowles, M. K. (1996). “Accelerating Monte Carlo chain convergence for cumulative-link generalized linear models.” Stat. Comput., 6(2), 101–111.
Dissanayake, S., and Ratnayake, I. (2005). “An investigation on severity of rural highway crashes in Kansas.” Proc., 84th Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
Duncan, C. S., Khattak, A. J., and Council, F. M. (1998). “Applying the ordered probit model to injury severity in truck-passenger car rear-end collisions.” Transportation Research Record. 1635, Transportation Research Board, Washington, D.C., 63–71.
Greene, W. H. (2000). Econometric analysis, 4th Ed., Prentice-Hall, Upper Saddle River, N.J.
Johnson, V. E., and Albert, J. H. (1999). Ordinal data modeling, Springer, New York.
Khattak, A. J., Pawlovich, M. D., Souleyrette, R. R., and Hallmark, S. L. (2002). “Factors related to more severe older driver traffic crash injuries.” J. Transp. Eng., 128(3), 243–249.
Khattak, A. J., and Targa, F. (2004). “Injury severity and total harm in truck-involved work zone crashes.” Proc., 83rd Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
Khorashadi, A., Niemeier, D., Shankar, V., and Mannering, F. (2005). “Differences in rural and urban driver-injury severities in accidents involving large-trucks: An exploratory analysis.” Accid. Anal Prev., 37(5), 910–921.
Klop, J. R., and Khattak, A. J. (1999). “Factors influencing bicycle crash severity on two-lane, undivided roadways in North Carolina.” Transportation Research Record. 1674, Transportation Research Board, Washington, D.C., 78–85.
Kockelman, K. M., and Kweon, Y. J. (2002). “Driver injury severity: An application of ordered probit models.” Accid. Anal Prev., 34(3), 313–321.
Lee, C., and Abdel-Aty, M. (2005). “Comprehensive analysis of vehicle-pedestrian crashes at intersections in Florida.” Accid. Anal Prev., 37(4), 775–786.
Lord, D. (2006). “Modeling motor vehicle crashes using poisson-gamma models: Examining the effects of low sample mean values and small sample size on the estimation of the fixed dispersion parameter.” Accid. Anal Prev., 38(4), 751–766.
Lord, D., and Bonneson, J. A. (2005). “Calibration of predictive models for estimating safety of ramp design configurations.” Transportation Research Record. 1908, Transportation Research Board, Washington, D.C., 88–95.
Mckelvey, R. D., and Zavoina, W. (1975). “A statistical model for the analysis of ordinal level dependent variables.” J. Math. Sociol., 4, 103–120.
Milton, J. C., Shankar, V. N., and Mannering, F. L. (2008). “Highway accident severities and the mixed logit model: An exploratory empirical analysis.” Accid. Anal Prev., 40(1), 260–266.
National Highway Traffic Safety Administration (NHTSA). (2003). General estimates system coding and editing manual, Washington, D.C.
O’Donnell, C. J., and Connor, D. H. (1996). “Predicting the severity of motor vehicle accident injuries using models of ordered multiple choice.” Accid. Anal Prev., 28(6), 739–753.
O’Hagan, A., and Luce, B. R. (2003). “A primer on bayesian statistics in health economics and outcomes research.” ⟨http://www.medtap.com/Method/Bayesian%20Primer.pdf⟩ (May 23, 2007).
Riffat, S. M., and Chor, C. H. (2005). “Analysis of severity of single-vehicle crashes in Singapore.” Proc., 84th Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
SAS Institute Inc. (2004). Version 9.1.3 of the SAS system for Windows, Cary, N.C.
Savolainen, P., and Mannering, F. (2007). “Probabilistic models of motorcyclists’ injury severities in single- and multi-vehicle crashes.” Accid. Anal Prev., 39(5), 955–963.
Shankar, V., Mannering, F., and Barfield, W. (1996). “Statistical analysis of accident severity on rural freeways.” Accid. Anal Prev., 28(3), 391–401.
Siddiqui, N. A., Chu, X. H., and Guttenplan, M. (2006). “Crossing locations, light conditions, and pedestrian injury severity.” Proc., 85th Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
Srinivasan, K. K. (2002). “Injury severity analysis with variable and correlated thresholds: An ordered mixed logit (OML) formulation.” Proc., 81st Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
Wang, X. K., and Kockelman, K. M. (2005). “Occupant injury severity using a heteroscedastic ordered logit model: Distinguishing the effects of vehicle weight and type.” Proc., 84th Annual Meeting of the Transportation Research Board, Transportation Research Board, Washington, D.C.
Washington, S., Karlaftis, M. G., and Mannering, F. L. (2003). Statistical and econometric methods for transportation data analysis, Chapman & Hall/CRC, Boca Raton, Fla.
Yamamoto, T., and Shankar, V. N. (2004). “Bivariate ordered-response probit model of driver’s and passenger’s injury severities in collisions with fixed objects.” Accid. Anal Prev., 36(5), 869–876.
Zajac, S. S., and Ivan, J. N. (2003). “Factors influencing injury severity of motor vehicle-crossing pedestrian crashes in rural Connecticut.” Accid. Anal Prev., 35(3), 369–379.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 135Issue 1January 2009
Pages: 18 - 25

History

Received: May 30, 2007
Accepted: Jul 2, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Yuanchang Xie [email protected]
Assistant Professor, Dept. of Civil and Mechanical Engineering Technology, South Carolina State Univ., P.O. Box 8144, 300 College ST NE, Orangeburg, SC 29117. E-mail: [email protected]
Yunlong Zhang [email protected]
Assistant Professor, Zachry Dept. of Civil Engineering, Texas A&M Univ., 3136 TAMU, College Station, TX 77843 (corresponding author). E-mail: [email protected]
Faming Liang [email protected]
Associate Professor, Dept. of Statistics, Texas A&M Univ., 3143 TAMU, College Station, TX 77843. E-mail: [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.

Cited by

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 Article
$35.00
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 Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share