Copula-based method for addressing endogeneity in models of severity of traffic crash injuries: Application to two-vehicle crashes

Transportation Research Record

Volumn , Issue 2147, 2010, Pages 75-87

  Rana, Tejsingh A ^a   Sikder, Sujan ^a   Pinjari, Abdul Rawoof ^a  

^a University of South Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCIDENTS; DISTRIBUTION FUNCTIONS;

COLLISION TYPES; CRASH INJURY; CRASH INJURY SEVERITY; ENDOGENEITY; JOINT MODELS; MODELLING SYSTEMS; ORDERED LOGIT MODEL; TRAFFIC CRASHES; VEHICLE CRASHES;

VEHICLES;

EID: 78651310818     PISSN: 03611981     EISSN: None     Source Type: Journal    
DOI: 10.3141/2147-10     Document Type: Article

References (23)

1. Washington, S., M. Karlaftis, and F. Mannering. Statistical and Econometric Methods for Transportation Data Analysis. Chapman and Hall, Boca Raton, Fla., 2003.
2. Evans, L. Safety-Belt Effectiveness: The Influence of Crash Severity and Selective Recruitment. Accident Analysis and Prevention, Vol. 28, No. 4, 1996, pp. 423-433.
3. Eluru, N., and C. R. Bhat. A Joint Econometric Analysis of Seat Belt Use and Crash Related Injury Severity. Accident Analysis and Prevention, Vol. 39, No. 5, 2007, pp. 1037-1049.
4. Dee, T. S. Reconsidering the Effects of Seat Belts Laws and their Enforcement Status. Accident Analysis and Prevention, Vol. 30, No. 1, 1997, pp. 1-10.
5. Derrig, R. A., M. Segui-Gomez, A. Abtahi, and L. L. Liu. The Effect of Population Safety Belt Usage Rates on Motor Vehicle-Related Fatalities. Accident Analysis and Prevention, Vol. 34, No. 1, 2000, pp. 101-110.
6. Cohen, A., and L. Einav. The Effects of Mandatory Seat Belt Laws on Driving Behavior and Traffic Fatalities. Review of Economics and Statistics, Vol. 85, No. 4, 2003, pp. 828-843.
7. de Lapparent, M. Willingness to Use Safety Belt and Levels of Injury in Car Accidents. Accident Analysis and Prevention, Vol. 40, No. 3, 2008, pp. 1023-1032.
8. Kim, K., L. Nitz, J. Richardson, and L. Li. Personal and Behavioral Predictors of Automobile Crash and Injury Severity. Accident Analysis and Prevention, Vol. 27, No. 4, 1995, pp. 469-481.
9. Ye, X., R. M. Pendyala, F. S. Al-Rukaibi, and K. Konduri. A Joint Model of Accident Type and Severity for Two-Vehicle Crashes. Presented at 87th Annual Meeting of the Transportation Research Board, Washington, D.C., 2008.
10. Lee, C., and M. Abdel-Aty. Presence of Passengers: Does It Increase or Reduce Driver's Crash Potential? Accident Analysis and Prevention, Vol. 40, No. 5, 2008, pp. 1703-1712.
11. Kim, D. G., and S. Washington. The Significance of Endogeneity Problems in Crash Models: An Examination of Left-Turn Lanes in Intersec- tion Crash Models. Accident Analysis and Prevention, Vol. 38, No. 6, 2006, pp. 125-134.
12. Hutchinson, T. P. A Bivariate Normal Model for Intra-Accident Correlations of Driver Injury with Application to the Effect of Mass Ratio. Accident Analysis and Prevention, Vol. 15, No. 3, 1983, pp. 215-224.
13. Hutchinson, T. P. Statistical Modeling of Injury Severity, with Special Reference to Driver and Front Seat Passenger in Single-Vehicle Crashes. Accident Analysis and Prevention, Vol. 18, No. 2, 1986, pp. 157-167.
14. Ouyang, Y., T. Yamamoto, and V. Shankar. Modeling the Simultaneity in Injury Causation in Multivehicle Collisions. In Transportation Research Record: Journal of the Transportation Research Board, No. 1784, Transportation Research Board of the National Academies, Washington, D.C., 2002, pp. 143-152.
15. Yamamoto, T., and V. N. Shankar. Bivariate Ordered-Response Probit Model of Driver's and Passenger's Injury Severities in Collision with Fixed Objects. Accident Analysis and Prevention, Vol. 36, No. 5, 2004, pp. 869-876.
16. Jones, A. P., and S. H. Jorgensen. The Use of Multilevel Models for the Prediction of Road Accident Outcomes. Accident Analysis and Prevention, Vol. 35, No. 1, 2003, pp. 59-69.
17. Lenguerrand, E., J. L. Martin, and B. Laumon. Modeling the Hierarchical Structure of Road Crash Data: Application to Severity Analysis. Accident Analysis and Prevention, Vol. 38, No. 1, 2006, pp. 43-53.
18. Kim, D. G., Y. Lee, S. Washington, and K. Choi. Modeling Crash Outcome Probabilities at Rural Intersections: Application of Hierarchical Binomial Logistic Models. Accident Analysis and Prevention, Vol. 39, No. 1, 2007, pp. 1094-1100.
19. Helai, H., C. H. Chor, and M. M. Haque. Severity of Driver Injury and Vehicle Damage in Traffic Crashes at Intersections: A Bayesian Hierarchical Analysis. Accident Analysis and Prevention, Vol. 40, No. 1, 2008, pp. 45-54.
20. Nelson, R. B. An Introduction to Copulas, 2nd ed. Springer-Verlag, New York, 2006.
21. Bhat, C. R., and N. Eluru. A Copula-Based Approach to Accommodate Residential Self-Selection Effects in Travel Behavior Modeling. Transportation Research Part B, Vol. 43, No. 7, 2009, pp. 749-765.
22. Sklar, A. Random Variables, Joint Distribution Functions, and Copulas. Kybernetika, Vol. 9, 1973, pp. 449-460.
23. Spissu, E., A. R. Pinjari, R. M. Pendyala, and C. R. Bhat. A Copula-Based Joint Multinomial Discrete-Continuous Model of Vehicle Type Choice and Miles of Travel. Transportation, Vol. 36, No. 4, 2009, pp. 403-422.