Investigating the effect of modeling single-vehicle and multi-vehicle crashes separately on confidence intervals of Poisson-gamma models

Accident Analysis and Prevention

Volumn 42, Issue 4, 2010, Pages 1273-1282

  Geedipally, Srinivas Reddy ^a   Lord, Dominique ^b  

^a TEXAS A AND M UNIVERSITY SYSTEM   (United States)

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

Author keywords

Confidence intervals; Multi vehicle crashes; Single vehicle crashes

Indexed keywords

BIVARIATE; COMPARISON ANALYSIS; CONFIDENCE INTERVAL; CRASH MODELS; CRASH PREDICTION; CRASH RISK; GAMMA MODELS; HIGHWAY SAFETY; INJURY CRASHES; MULTI-VEHICLES; PER UNIT; RESEARCH SUPPORT; SAFETY STUDIES; SIMULATION RESULT; STATISTICAL MODELS; SUB-GROUPS; TRAFFIC SAFETY; UNIVARIATE MODELS; VEHICLE CRASHES;

COMPUTER SIMULATION; FORECASTING; HIGHWAY ENGINEERING; MATHEMATICAL MODELS; RISK PERCEPTION; VEHICLES;

HIGHWAY ACCIDENTS;

ARTICLE; CONFIDENCE INTERVAL; HUMAN; INJURY; MORTALITY; MOTOR VEHICLE; POISSON DISTRIBUTION; PREDICTION AND FORECASTING; REPRODUCIBILITY; RISK ASSESSMENT; SAFETY; STATISTICAL MODEL; STATISTICS; TRAFFIC ACCIDENT;

ACCIDENTS, TRAFFIC; CONFIDENCE INTERVALS; HUMANS; MODELS, STATISTICAL; MOTOR VEHICLES; POISSON DISTRIBUTION; PREDICTIVE VALUE OF TESTS; REPRODUCIBILITY OF RESULTS; RISK ASSESSMENT; SAFETY; WOUNDS AND INJURIES;

EID: 77955336039     PISSN: 00014575     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aap.2010.02.004     Document Type: Article

References (47)

1. F.D. Bijleveld The covariance between the number of accidents and the number of victims in multivariate analysis of accident related outcomes Accident Analysis and Prevention 37 4 2005 591 600
2. J. Bonneson, D. Lord, K. Zimmerman, K. Fitzpatrick, and M. Pratt Development of tools for evaluating the safety implications of highway design decisions TTI Report FHWA/TX-07/0-4703-4 2007 Texas Transportation Institute College Station, TX
3. Cameron, A.C., Trivedi, P.K., 1998. Regression analysis of count data, Econometric Society Monograph No. 30, Cambridge University Press.
4. L.R. Cercarelli, P.K. Arnold, D.L. Rosman, D. Sleet, and M.L. Thornett Travel exposure and choice of comparison crashes for examining motorcycle conspicuity by analysis of crash data Accident Analysis and Prevention 24 4 1992 363 368
5. S.R. Geedipally, and D. Lord Effects of the varying dispersion parameter of Poisson-gamma models on the estimation of confidence intervals of crash prediction models Transportation Research Record 2061 2008 46 54
6. M.S. Griffith Safety evaluation of rolled-in continuous shoulder rumble strips installed on freeways Transportation Research Record 1665 1999 28 35
7. D.W. Harwood, K.M. Bauer, K.R. Richard, D.K. Gilmore, J.L. Graham, I.B. Potts, D.J. Torbic, and E. Hauer Methodology to predict the safety performance of urban and suburban arterials NCHRP Web Document No. 129: Phases I and II 2007 Transportation Research Board Washington, DC
8. E. Hauer Observational Before-After Studies in Road Safety: Estimating the Effect of Highway and Traffic Engineering Measures on Road Safety 1997 Elsevier Science Ltd. Oxford
9. J.N. Ivan, R.K. Pasupathy, and P.J. Ossenbruggen Differences in causality factors for single and multi-vehicles crashes on two-lane roads Accident Analysis and Prevention 31 1999 695 704
10. J.N. Ivan, C. Wang, and N.R. Bernardo Explaining two-lane highway crash rates using land use and hourly exposure Accident Analysis and Prevention 32 6 2000 787 795
11. J. Ivan New approach for including traffic volumes in crash rate analysis and forecasting Transportation Research Record 1897 2004 134 141
12. T. Jonsson, J. Ivan, and C. Zhang Crash prediction models for intersections on rural multilane highways: differences by collision type Transportation Research Record 2019 2007 91 98
13. P.P. Jovanis, and H.L. Chang Modeling the relationship of accidents to miles traveled Transportation Research Record 1068 1986 42 51
14. C. Lee, and M. Abdel-Aty Comprehensive analysis of vehicle-pedestrian crashes at intersections in Florida Accident Analysis and Prevention 37 4 2005 775 786
15. Lord, D, 2000. The prediction of accidents on digital networks: characteristics and issues related to the application of accident prediction models. Ph.D. Dissertation, Department of Civil Engineering, University of Toronto, Toronto, Ontario.
16. D. Lord Issues related to the application of accident prediction models for the computation of accident risk on transportation networks Transportation Research Record 1784 2002 17 26
17. D. Lord 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 38 4 2006 751 766
18. D. Lord Methodology for estimating the variance and confidence intervals of the estimate of the product of baseline models and AMFs Accident Analysis and Prevention 40 3 2008 1013 1017
19. D. Lord, and J.A. Bonneson Calibration of predictive models for estimating the safety of ramp design configurations Transportation Research Record 1908 2005 88 95
20. D. Lord, 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 37 1 2005 35 46
21. D. Lord, and J.A. Bonneson Development of accident modification factors for rural frontage road segments in Texas Transportation Research Record 2023 2007 20 27
22. D. Lord, S.P. Washington, and J.N. Ivan Further notes on the application of Zero Inflated models in highway safety Accident Analysis and Prevention 39 1 2007 53 57
23. Lord, D., Mannering, F., in press. The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives. Transportation Research, Part A. doi:10.1016/j.tra.2010.02.001.
24. D. Lord, S.R. Geedipally, B.N. Persaud, S.P. Washington, I. van Schalkwyk, J.N. Ivan, C. Lyon, and T. Jonsson Methodology for estimating the safety performance of multilane rural highways NCHRP Web-Only Document 126 2008 National Cooperation Highway Research Program Washington, DC
25. C. Lyon, J. Oh, B.N. Persaud, S.P. Washington, and J. Bared Empirical investigation of the IHSDM accident prediction algorithm for rural intersections Transportation Research Record 1840 2003 78 86
26. Ma, J., K.M. Kockelman, 2006. Bayesian Multivariate Poisson Regression for Models of Injury Count, by Severity. In Transportation Research Record: Journal of the Transportation Research Board, No. 1950, Transportation Research Board of the National Academies, Washington, DC, pp. 24-34.
27. M.J. Maher A bivariate negative binomial model to explain traffic accident mitigation Accident Analysis and Prevention 22 1990 487 498
28. M.J. Maher, and I. Summersgill A comprehensive methodology for the fitting predictive accident models Accident Analysis and Prevention 28 3 1996 281 296
29. A. Mensah, and E. Hauer Two problems of averaging arising in the estimation of the relationship between accidents and traffic flow Transportation Research Record 1635 1998 37 43
30. S.-P. Miaou, and J.J. Song Bayesian ranking of sites for engineering safety improvements: decision parameter, treatability concept, statistical criterion and spatial dependence Accident Analysis and Prevention 37 4 2005 699 720
31. T.R. Miller, D. Levy, R. Spicer, and D. Lestina Allocating the cost of motor vehicle crashes between vehicle types Transportation Research Record 1635 1998 81 97
32. J. Oh, C. Lyon, S.P. Washington, B.N. Persaud, and J. Bared Validation of the FHWA crash models for rural intersections: lessons learned Transportation Research Record 1840 2003 41 49
33. M. Ostrom, and A. Eriksson Single-vehicle crashes and alcohol: a retrospective study of passenger car fatalities in Northern Sweden Accident Analysis and Prevention 25 2 1993 171 176
34. E.S. Park, and D. Lord Multivariate Poisson-lognormal models for jointly modeling crash frequency by severity Transportation Research Record 2019 2007 1 6
35. B.N. Persaud, and K. Mucsi Microscopic accident potential models for two-lane rural roads Transportation Research Record 1485 1995 134 139
36. B. Persaud, and T. Nguyen Disaggregate safety performance models for signalized intersections on Ontario provincial roads Transportation Research Record 1635 1998 113 120
37. B.N. Persaud, R. Retting, P. Garder, and D. Lord Observational before-after study of U.S. roundabout conversions using the empirical Bayes method Transportation Research Record 1751 2001 1 8
38. B.N. Persaud, D. Lord, and J. Palminaso Issues of calibration and transferability in developing accident prediction models for urban intersections Transportation Research Record 1784 2002 57 64
39. X. Qin, J.N. Ivan, and N. Ravishanker Selecting exposure measures in crash rate prediction for two-lane highway segments Accident Analysis and Prevention 36 2 2004 183 191
40. SAS Institute Inc. Version 9 of the SAS System for Windows 2002 SAS Institute Cary, NC
41. V. Shankar, F. Mannering, and W. Barfield Effect of roadway geometric and environmental factors on rural freeway accident frequencies Accident Analysis and Prevention 27 3 1995 371 389
42. J.J. Song, M. Ghosh, S. Miaou, and B. Mallick Bayesian multivariate spatial models for roadway traffic crash mapping Journal of Multivariate Analysis 97 2006 246 273
43. K. Subrahmaniam, and K. Subrahmaniam On the estimation of the parameters in the bivariate negative binomial distribution Journal of the Royal Statistical Society 35 1973 131 146
44. A.P. Tarko, M. Inerowicz, J. Ramos, and W. Li Tool with road-level crash prediction for transportation safety planning Transportation Research Record 2083 2008 16 25
45. R. Tunaru Hierarchical Bayesian models for multiple count data Austrian Journal of Statistics 31 2-3 2002 221 229
46. G.R. Wood Confidence and prediction intervals for generalized linear accident models Accident Analysis and Prevention 37 2 2005 267 273
47. P.L. Zador Motorcycle headlight-use laws and fatal motorcycle crashes in the US American Journal of Public Health 75 5 1985 543 546