Analyzing different parameterizations of the varying dispersion parameter as a function of segment length

Transportation Research Record

Volumn , Issue 2103, 2009, Pages 108-118

  Geedipally, Srinivas Reddy ^a   Lord, Dominique ^a   Park, Byung Jung ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; FUNCTION EVALUATION; HIGHWAY ENGINEERING; PARAMETER ESTIMATION;

COVARIATES; DATA SET; DISPERSION PARAMETERS; GAMMA MODELS; HIGHWAY SAFETY; POISSON GAMMAS; PRIMARY OBJECTIVE; RECENT RESEARCHES; SEGMENT LENGTHS; VARIANCE FUNCTION;

PARAMETERIZATION;

EID: 76049113537     PISSN: 03611981     EISSN: None     Source Type: Journal    
DOI: 10.3141/2103-13     Document Type: Article

References (27)

1. Poch, M., and F. L. Mannering. Negative Binomial Analysis of Intersection-Accident Frequencies. Journal of Transportation Engineering, Vol.122, No.2, 1996, pp. 105-113.
2. Miaou, S.-P., and D. Lord. Modeling Traffic Crash-Flow Relationships for Intersections: Dispersion Parameter, Functional Form, and Bayes Versus Empirical Bayes Methods. In Transportation Research Record: Journal of the Transportation Research Board, No.1840, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 31-40.
3. Geedipally, S. R., and D. Lord. Effects of the Varying Dispersion Parameter of Poisson-Gamma Models on the Estimation of Confidence Intervals of Crash Prediction Models. In Transportation Research Record: Journal of the Transportation Research Board, No.2061, Transportation Research Board of the National Academies, Washington, D.C., 2008, pp. 46-54.
4. Park, B.-J., and D. Lord. Adjustment for Maximum Likelihood Estimate of Negative Binomial Dispersion Parameter. In Transportation Research Record: Journal of the Transportation Research Board, No.2061, Transportation Research Board of the National Academies, Washington, D.C., 2008, pp. 9-19.
5. Lord, D., S. P. Washington, and J. N. Ivan. Poisson, Poisson-Gamma and Zero Inflated Regression Models of Motor Vehicle Crashes: Balancing Statistical Fit and Theory. Accident Analysis and Prevention, Vol.37, No.1, 2005, pp. 35-46.
6. Oh, J., S. P. Washington, and D. Nam. Accident Prediction Model for Railway-Highway Interfaces. Accident Analysis and Prevention, Vol.38, No.2, 2006, pp. 346-356.
7. Lord, D., S. D. Guikema, and S. Geedipally. Application of the Conway-Maxwell-Poisson Generalized Linear Model for Analyzing Motor Vehicle Crashes. Accident Analysis and Prevention, Vol.40, No.3, 2008, pp. 1123-1134.
8. Hauer, E. Observational Before-After Studies in Road Safety: Estimating the Effect of Highway and Traffic Engineering Measures on Road Safety. Elsevier Science Ltd., Oxford, United Kingdom, 1997.
9. Hauer, E. Overdispersion in Modelling Accidents on Road Sections and in Empirical Bayes Estimation. Accident Analysis and Prevention, Vol.33, No.6, 2001, pp. 799-808.
10. Heydecker, B. G., and J. Wu. Identification of Sites for Road Accident Remedial Work by Bayesian Statistical Methods: An Example of Uncertain Inference. Advances in Engineering Software, Vol.32, 2001, pp. 859-869.
11. Mitra, S., and S. P. Washington. On the Nature of Over-Dispersion in Motor Vehicle Crash Prediction Models. Accident Analysis and Prevention, Vol.39, No.3, 2007, pp. 459-468.
12. Miranda-Moreno, L. F., L. Fu, F. F. Saccomanno, and A. Labbe. Alternative Risk Models for Ranking Locations for Safety Improvement. In Transportation Research Record: Journal of the Transportation Research Board, No.1908, Transportation Research Board of the National Academies, Washington, D.C., 2005, pp. 1-8.
13. Lord, D., and P. Y.-J. Park. Investigating the Effects of the Fixed and Varying Dispersion Parameters of Poisson-Gamma Models on Empirical Bayes Estimates. Accident Analysis and Prevention, Vol.40, No.4, 2008, pp. 1441-1457.
14. El-Basyouny, K., and T. A. Sayed. Comparison of Two Negative Binomial Regression Techniques in Developing Accident Prediction Models. In Transportation Research Record: Journal of the Transportation Research Board, No.1950, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 9-16.
15. Mountain, L., and B. Fawaz. Estimating Accidents at Junctions Using Routinely-Available Input Data. Traffic Engineering and Control, Vol.11, 1996, pp. 624-628.
16. Persaud, B. N., R. A. Retting, P. E. Garder, and D. Lord. Safety Effect of Roundabout Conversions in the United States: Empirical Bayes Observational Before-After Study. In Transportation Research Record: Journal of the Transportation Research Board, No.1751, TRB, National Research Council, Washington, D.C., 2001, pp. 1-8.
17. Lord, D. 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. Accident Analysis and Prevention, Vol.38, No.4, 2006, pp. 751-766.
18. Xie, Y., D. Lord, and Y. Zhang. Predicting Motor Vehicle Collisions Using Bayesian Neural Networks: An Empirical Analysis. Accident Analysis and Prevention, Vol.39, No.5, 2007, pp. 922-933.
19. Cameron, A. C., and P. K. Trivedi. Regression Analysis of Count Data. Cambridge University Press, Cambridge, United Kingdom, 1998.
20. Maher, M. J., and I. Summersgill. A Comprehensive Methodology for the Fitting Predictive Accident Models. Accident Analysis and Prevention, Vol.28, No.3, 1996, pp. 281-296.
21. Hardin, J. J., and J. M. Hilbe. Generalized Linear Models and Extensions. Stata Press, College Station, Tex., 2001.
22. Hilbe, J. M. Negative Binomial Regression. Cambridge University Press, New York, 2007.
23. Persaud, B., D. Lord, and J. Palminaso. Calibration and Transferability of Accident Prediction Models for Urban Intersections. In Transportation Research Record: Journal of the Transportation Research Board, No.1784, Transportation Research Board of the National Academies, Washington, D.C., 2002, pp. 57-64.
24. Lord, D., and J. A. Bonneson. Calibration of Predictive Models for Estimating Safety of Ramp Design Configurations. In Transportation Research Record: Journal of the Transportation Research Board, No.1908, Transportation Research Board of the National Academies, Washington, D.C., 2005, pp. 88-95.
25. Version 9 of the SAS System for Windows. SAS Institute Inc., Cary, N.C., 2002.
26. Lord, D., S. R. Geedipally, B. N. Persaud, S. P. Washington, I. van Schalkwyk, J. N. Ivan, C. Lyon, and T. Jonsson. NCHRP Web-Only Document 126: Methodology for Estimating the Safety Performance of Multilane Rural Highways. Transportation Research Board of the National Academies, Washington, D.C., 2008. onlinepubs.trb.org/onlinepubs/ nchrp/nchrp-w126.pdf. Accessed June 2008.
27. Burnham, K. P., and D. R. Anderson. Model Selection and Multimodel Inference. Springer-Verlag, New York, 2002.