Effects of spatial correlation in random parameters collision count-data models

Analytic Methods in Accident Research

Volumn 5-6, Issue , 2015, Pages 28-42

  Barua, Sudip ^a   El Basyouny, Karim ^a   Islam, Md Tazul ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Collision count data modeling; Full Bayesian (FB) estimation; Heterogeneous effects; Poisson lognormal regression; Random parameters model; Spatial correlation

Indexed keywords

BARIUM COMPOUNDS; MARKOV PROCESSES; MONTE CARLO METHODS;

BAYESIAN; COUNT DATA MODELING; HETEROGENEOUS EFFECTS; POISSON LOGNORMAL REGRESSIONS; RANDOM PARAMETERS; SPATIAL CORRELATIONS;

PARAMETER ESTIMATION;

EID: 84924873987     PISSN: 22136657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amar.2015.02.001     Document Type: Article

References (84)

1. M. Abdel-Aty, and X. Wang Crash estimation at signalized intersections along corridors analyzing spatial effect and identifying significant factors Transportation Research Record: Journal of the Transportation Research Board 1953 2006 98 111
2. J. Aguero-Valverde Multivariate spatial models of excess crash frequency at area level: case of Costa Rica Accident Analysis and Prevention 59 2013 365 373
3. J. Aguero-Valverde, and P.P. Jovanis Analysis of road crash frequency with spatial models Transportation Research Record: Journal of the Transportation Research Board 2061 2008 55 63
4. J. Aguero-Valverde, and P.P. Jovanis Spatial correlation in multilevel crash frequency models effects of different neighboring structures Transportation Research Record: Journal of the Transportation Research Board 2165 2010 21 32
5. J. Aguero-Valverde, and P. Jovanis Spatial analysis of fatal and injury crashes in Pennsylvania Accident Analysis and Prevention 38 3 2006 618 625
6. M. Ahmed, H. Huang, M. Abdel-Aty, and B. Guevara Exploring a Bayesian hierarchical approach for developing safety performance functions for a mountainous freeway Accident Analysis and Prevention 43 4 2011 1581 1589
7. E. Amoros, J.L. Martin, and B. Laumon Comparison of road crashes incident and severity between some French counties Accident Analysis and Prevention 35 4 2003 537 547
8. P.C. Anastasopoulos, and F.L. Mannering A note on modeling vehicle accident frequencies with random-parameters count models Accident Analysis and Prevention 41 1 2009 153 159
9. P.C. Anastasopoulos, and F.L. Mannering An empirical assessment of fixed and random parameter logit models using crash- and non-crash-specific injury data Accident Analysis and Prevention 43 3 2011 1140 1147
10. P.C. Anastasopoulos, F.L. Mannering, V.N. Shankar, and J.E. Haddock A study of factors affecting highway accident rates using the random-parameters tobit model Accident Analysis and Prevention 45 2012 628 633
11. L. Anselin Spatial Econometrics: Methods and Models, Studies in Operational Regional Science vol. 4 1988 Springer
12. E.J. Bedrick, R. Christensen, and W. Johnson A new perspective on priors for generalized linear models Journal of the American Statistical Association 91 436 1996 1450 1460
13. J. Besag, and C. Kooperberg On conditional and intrinsic autoregressions Biometrika 82 4 1995 733 746
14. J. Besag, J. York, and A. Mollié Bayesian image restoration with two applications in spatial statistics Annals of the Institute of Statistical Mathematics 43 1 1991 1 59
15. S. Brooks, and A. Gelman Alternative methods for monitoring convergence of iterative simulations Journal of Computational and Graphical Statistics 7 4 1998 434 455
16. E. Chen, and A.P. Tarko Modeling safety of highway work zones with random parameters and random effects models Analytic Methods in Accident Research 1 2014 86 95
17. W. Cheng, and S. Washington Experimental evaluation of hotspot identification methods Accident Analysis and Prevention 37 5 2005 870 881
18. P. Congdon Bayesian Statistical Modeling 2nd ed. 2006 Wiley New York
19. N. Cressie Statistics for Spatial Data 1993 John Wiley & Sons New York
20. R. Dinu, and A. Veeraragavan Random parameter models for accident prediction on two-lane undivided highways in India Journal of Safety Research 42 1 2011 39 42
21. R. Dubin Estimation of regression coefficients in the presence of spatially auto correlated error terms Review of Economics and Statistics 70 3 1988 466 474
22. K. El-Basyouny, and T. Sayed Accident prediction models with random corridor parameters Accident Analysis and Prevention 41 5 2009 1118 1123
23. K. El-Basyouny, and T. Sayed Collision prediction models using multivariate Poisson-lognormal regression Accident Analysis and Prevention 41 4 2009 820 828
24. K. El-Basyouny, and T. Sayed Urban arterial accident prediction models with spatial effects Transportation Research Record: Journal of the Transportation Research Board 2102 2009 27 33
25. K. El-Basyouny, and T. Sayed Comparison of two negative binomial regression techniques in developing accident prediction models Transportation Research Record 1950 2006 9 16
26. T. Flask, and W. Schneider A Bayesian analysis of multi-level spatial correlation in single vehicle motorcycle crashes in Ohio Safety Science 53 2013 1 10
27. M. Garnowski, and H. Manner On factors related to car accidents on German Autobahn connectors Accident Analysis and Prevention 43 5 2011 1864 1871
28. A. Gelman, X. Meng, and H. Stern Posterior predictive assessment of model fitness via realized discrepancies Statistica Sinica 6 1996 733 807
29. W. Gilks, S. Richardson, and D. Spiegelhalter Markov Chain Monte Carlo in Practice 1996 Chapman & Hall London
30. K. Gkritza, and F.L. Mannering Mixed logit analysis of safety-belt use in single- and multi-occupant vehicles Accident Analysis and Prevention 40 2 2008 443 451
31. H. Goldstein Multilevel Statistical Models 1995 Arnold London
32. F. Guo, X. Wang, and M. Abdel-Aty Modeling signalized intersection safety with corridor-level spatial correlations Accident Analysis and Prevention 42 1 2010 84 92
33. A. Hadayeghi, A. Shalaby, and B. Persaud Macrolevel accident prediction models for evaluating safety of urban transportation systems Transportation Research Record 1840 2003 87 95
34. A. Hadayeghi, A. Shalaby, B. Persaud, and C. Cheung Development of planning level transportation safety tools using geographically weighted poisson regression Accident Analysis and Prevention 42 2 2010 676 688
35. A. Hadayeghi, A. Shalaby, B. Persaud, and C. Cheung Safety prediction models proactive tool for safety evaluation in urban transportation planning applications Transportation Research Record 2019 2007 225 236
36. E. Hauer, J. Ng, and J. Lovell Estimation of safety at signalized intersections Transportation Research Record 1185 1988 48 61
37. H. Huang, M. Abdel-Aty, and A.L. Darwiche County-level crash risk analysis in Florida: Bayesian spatial modeling Transportation Research Record 2148 2010 27 37
38. N. Johnson, and S. Kotz Distributions in Statistics: Continuous Multivariate 1972 Wiley New York
39. S. Joshua, and N. Garber Estimating truck accident rate and involvements using linear and Poisson regression models Transportation Planning and Technology 15 1 1990 41 58
40. P. Jovanis, and H. Chang Modeling the relationship of accidents to miles traveled Transportation Research Record 1068 1986 42 51
41. I. Langford, A. Leyland, J. Rasbash, and H. Goldstein Multilevel modelling of the geographical distributions of diseases Applied Statistics 48 2 1999 253 268
42. J.P. LeSage Spatial Econometrics 1998 University of Toledo, Department of Economics Ohio
43. W. Li, A. Carriquiry, M. Pawlovich, and T. Welch The choice of statistical models in road safety countermeasures effectiveness studies in Iowa Accident Analysis and Prevention 40 4 2008 1531 1542
44. 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
45. D. Lord, and J. Bonneson Development of accident modification factors for rural frontage road segments in Texas Transportation Research Record 2023 2007 20 27
46. D. Lord, and F. Mannering The statistical analysis of crash-frequency data: a review and assessment of methodological alternatives Transportation Research Part A 44 5 2010 291 305
47. D. Lord, and B. Persaud Accident prediction models with and without trend: application of the generalized estimating equation Transportation Research Record 1717 2000 102 108
48. D. Lunn, A. Thomas, N. Best, and D. Spiegelhalter WinBUGS - a Bayesian modeling framework: concepts, structure, and extensibility Statistics and Computing 10 4 2000 325 337
49. M. Maher, and I. Summersgill A comprehensive methodology for the fitting predictive accident models Accident Analysis and Prevention 28 3 1996 281 296
50. G. Maycock, and R. Hall Accidents at 4-Arm Roundabouts. TRRL Laboratory Report 1120 1984 Transportation and Road Research Laboratory Crowthorne, UK
51. S. Miaou, and D. Lord Modeling traffic crash-flow relationships for intersections: dispersion parameter, functional form, and Bayes versus empirical Bayes Transportation Research Record 1840 2003 31 40
52. S. Miaou, and 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
53. S.-P. Miaou The relationship between truck accidents and geometric design of road sections: Poisson versus negative binomial regressions Accident Analysis and Prevention 26 4 1994 471 482
54. S.-P. Miaou, and H. Lum Modeling vehicle accidents and highway geometric design relationships Accident Analysis and Prevention 25 6 1993 689 709
55. S.-P. Miaou, R. Bligh, and D. Lord Developing median barrier installation guidelines: a benefit/cost analysis using Texas data Transportation Research Record 1904 2005 3 19
56. J. Milton, and F. Mannering The relationship among highway geometrics, traffic-related elements and motor vehicle accident frequencies Transportation 25 4 1998 395 413
57. J. Milton, V. Shankar, and F. Mannering Highway accident severities and the mixed logit model: an exploratory empirical analysis Accident Analysis and Prevention 40 1 2008 260 266
58. Miranda-Moreno, L., Lord, D., 2007. Evaluation of alternative hyper-priors for Bayesian road safety analysis. In: Presented at the 87th Annual Meeting of the Transportation Research Board, Washington, DC.
59. S. Mitra Spatial autocorrelation and Bayesian spatial statistical method for analyzing intersections prone to injury crashes Transportation Research Record: Journal of the Transportation Research Board 2136 2009 92 100
60. A. Nicholson Analysis of spatial distributions of accidents Safety Science 31 1999 71 91
61. R.B. Noland, and M. Quddus A spatially disaggregate analysis of road casualties in England Accident Analysis and Prevention 36 6 2004 973 984
62. B. Persaud Accident prediction models for rural roads Canadian Journal of Civil Engineering 21 4 1994 547 554
63. X. Qin, J. Ivan, N. Ravishanker, and J. Liu Hierarchical Bayesian estimation of safety performance functions for two-lane highways using Markov Chain Monte Carlo modeling Journal of Transportation Engineering 131 5 2005 345 351
64. M. Quddus Modelling area-wide count outcomes with spatial correlation and heterogeneity: an analysis of London crash data Accident Analysis and Prevention 40 4 2008 1486 1497
65. B.J. Russo, P.T. Savolainen, W.H. Schneider IV, and P.C. Anastasopoulos Comparison of factors affecting injury severity in angle collisions by fault status using a random parameters bivariate ordered probit model Analytic Methods in Accident Research 2 2014 21 29
66. P. Schluter, J. Deely, and A. Nicholson Ranking and selecting motor vehicle accident sites by using a hierarchical Bayesian model Statistician 46 3 1997 293 316
67. S. Shugan Editorial: errors in the variables, unobserved heterogeneity, and other ways of hiding statistical error Marketing Science 25 3 2006 203 216
68. C. Siddiqui, M. Abdel-Aty, and M. Choi Macroscopic spatial analysis of pedestrian and bicycle crashes Accident Analysis and Prevention 45 2012 382 391
69. J. Song, M. Ghosh, S. Miaou, and B. Mallick Bayesian multivariate spatial models for roadway traffic crash mapping Journal of Multivariate Analysis 97 1 2006 246 273
70. D.J. Spiegelhalter, N.G. Best, B.P. Carlin, and A. Van der Linde Bayesian measures of model complexity and fit Journal of the Royal Statistical Society B 64 4 2002 583 639
71. D. Spiegelhalter, A. Thomas, N. Best, and D. Lunn WinBUGS User Manual 2005 MRC Biostatistics Unit Cambridge, United Kingdom
72. H. Stern, and N. Cressie Posterior predictive model checks for disease mapping models Statistics in Medicine 19 17-18 2000 2377 2397
73. A. Thomas, N. Best, D. Lunn, R. Arnold, and D. Spiegelhalter GeoBUGS User Manual 2004 Imperial College and Medical Research Council (MRC) UK
74. S. Ukkusuri, S. Hasan, and H.M. Aziz Random parameter model used to explain effects of built-environment characteristics on pedestrian crash frequency Transportation Research Record: Journal of the Transportation Research Board 2237 2011 98 106
75. I. Van Schalkwyk The Development of Aggregated Macrolevel Safety Prediction Models 2008 Arizona State University USA
76. N.S. Venkataraman, G.F. Ulfarsson, V. Shankar, J. Oh, and M. Park Model of relationship between interstate crash occurrence and geometrics Transportation Research Record: Journal of the Transportation Research Board 2236 2011 41 48
77. N. Venkataraman, G.F. Ulfarsson, and V.N. Shankar Random parameter models of interstate crash frequencies by severity, number of vehicles involved, collision and location type Accident Analysis and Prevention 59 2013 309 318
78. X. Wang, Y. Jin, M. Abdel-Aty, P. Tremont, and X. Chen Macrolevel model development for safety assessment of road network structures Transportation Research Record 2280 2012 100 109
79. S. Washington, M. Karlaftis, and F. Mannering Statistical and Econometric Methods for Transportation Data Analysis 2003 Chapman Hall/CRC Boca Raton, FL
80. S. Washington, M. Karlaftis, and F. Mannering Statistical and Econometric Methods for Transportation Data Analysis second ed. 2011 Chapman Hall/CRC Boca Raton, FL
81. F. Wei, and G. Lovegrove An empirical tool to evaluate the safety of cyclists: community based, macro-level collision prediction models using negative binomial regression Accident Analysis and Prevention 61 2013 129 137
82. Z. Wu, A. Sharma, F.L. Mannering, and S. Wang Safety impacts of signal-warning flashers and speed control at high-speed signalized intersections Accident Analysis and Prevention 54 2013 90 98
83. Y. Xiong, and F.L. Mannering The heterogeneous effects of guardian supervision on adolescent driver-injury severities: a finite-mixture random-parameters approach Transportation Research Part B 49 2013 39 54
84. W. Xuesong, and C. Ming Safety analysis on urban arterials considering operational conditions in Shanghai Procedia Engineering 45 2012 836 840