Model crash frequency at highway–railroad grade crossings using negative binomial regression

References

• Akaike , H . 1974 . A new look at the statistical model identification . IEEE transactions on automatic control , 19 ( 6 ) : 716 – 723 .
   Web of Science ®Google Scholar
• Austin , RD and Carson , JL . 2002 . An alternative accident prediction model for highway–rail interfaces . Accident analysis and prevention , 34 ( 1 ) : 31 – 42 .
   PubMed Web of Science ®Google Scholar
• Ayyub , BM . 2003 . Risk analysis in engineering and economics , New York : Chapman and Hall/CRC .
   Google Scholar
• Cameron , AC and Trivedi , PK . 1998 . Regression analysis of count data , New York : Cambridge University Press .
   Google Scholar
• El-Basyouny , K and Sayed , T . 2006 . Comparison of two-binomial regression techniques in developing accident prediction models . Transportation research record , 1950 : 9 – 16 .
   Web of Science ®Google Scholar
• Federal Highway Administration . 2000 . Manual on uniform traffic control devices Millennium ed. , Washington , DC : US Department of Transportation .
   Google Scholar
• Gitelman , V and Hakkert , AS . 1997 . The evaluation of road-rail crossing safety with limited accident statistics . Accident analysis and prevention , 29 ( 2 ) : 171 – 179 .
   PubMed Web of Science ®Google Scholar
• Harwood , DW . et al., 2000. Prediction of the expected safety performance of rural two-lane highways. Washington, DC: Federal Highway Administration, US Department of Transportation, FHWA-RD-99-207
   Google Scholar
• Hilbe , JM . 2007 . Negative binomial regression , New York : Cambridge University Press .
   Google Scholar
• Hu , SR and Lee , CK . Analysis of accident risk at railroad grade crossing . In: Proceedings of the 87th Annual meeting of the transportation research board . 13–17 January 2008 , Washington , DC . Paper 08-1426
   Google Scholar
• Liao , TF . 1994 . Interpreting probability models: logit, probit, and other generalized linear models, series: quantitative applications in the social sciences , Thousand Oaks , CA : SAGE .
   Google Scholar
• Lord , D , Washington , SP and Ivan , JN . 2005 . Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory . Accident analysis and prevention , 37 ( 1 ) : 35 – 46 .
   PubMed Web of Science ®Google Scholar
• Lord , D , Washington , SP and Ivan , JN . 2007 . Further notes on the application of zero-inflated models in highway safety . Accident analysis and prevention , 39 ( 1 ) : 53 – 57 .
   PubMed Web of Science ®Google Scholar
• Ma , J and Kockelman , KM . 2006 . Bayesian multivariate Poisson regression for models of injury count, by severity . Transportation research record , 1950 : 24 – 34 .
   Web of Science ®Google Scholar
• Ma , J , Kockelman , KM and Damien , PA . 2008 . Multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods . Accident analysis and prevention , 40 ( 3 ) : 964 – 975 .
   PubMed Web of Science ®Google Scholar
• McCullagh , P . 1980 . Regression models for ordinal data (with discussion) . Journal of the royal statistical society, series B , 42 ( 2 ) : 109 – 142 .
   Google Scholar
• McCullagh , P and Nelder , JA . 1989 . Generalized linear models , New York : Chapman and Hall .
   Google Scholar
• Miaou , SP . 1994 . The relationship between truck accident and geometric design of road sections: poisson versus negative binomial regressions . Accident analysis and prevention , 26 ( 4 ) : 471 – 482 .
   PubMed Web of Science ®Google Scholar
• Miaou , SP . 1992 . Relationship between truck accidents and highway geometric design: a Poisson regression approach . Transportation research record , 1376 : 10 – 18 .
   Google Scholar
• Miaou , SP and Lum , H . 1993 . Modeling vehicle accidents and highway geometric design relationships . Accident analysis and prevention , 25 ( 6 ) : 689 – 709 .
   PubMed Web of Science ®Google Scholar
• Miranda-Moreno , LF . 2005 . Alternative risk models for ranking locations for safety improvement . Transportation research record , 1908 : 1 – 8 .
   Google Scholar
• Nam , D and Lee , J . 2006 . Accident frequency model using zero probability process . Transportation research record , 1973 : 142 – 148 .
   Google Scholar
• Odgen , BD . 2007. Railroad-highway grade crossing handbook - revised second edition. Washington, DC: Federal Highway Administration, US Department of Transportation, FHWA-SA-07-010
   Google Scholar
• Oh , J , Washington , SP and Nam , D . 2006 . Accident prediction model for railway-highway interfaces . Accident analysis and prevention , 38 ( 2 ) : 346 – 356 .
   PubMed Web of Science ®Google Scholar
• Park , ES and Lord , D . 2007 . Multivariate Poisson-lognormal models for jointly modeling crash frequency by severity . Transportation research record , 2019 : 1 – 6 .
   Web of Science ®Google Scholar
• Park , PYJ and Saccomanno , FF . 2005a . Collision frequency analysis using tree-based stratification . Transportation research record , 1908 : 121 – 129 .
   Google Scholar
• Park , PYJ and Saccomanno , FF . 2005b . Evaluating factors affecting safety at highway–railway grade crossings . Transportation research record , 1918 : 1 – 9 .
   Google Scholar
• Park , PYJ and Saccomanno , FF . 2005c . A structured model for evaluating countermeasures at highway–railway grade crossings . Canadian journal of civil engineering , 32 ( 4 ) : 627 – 635 .
   Web of Science ®Google Scholar
• Park , PYJ and Saccomanno , FF . 2007 . Reducing treatment selection bias for estimating treatment effects using propensity score method . Journal of transportation engineering , 133 ( 2 ) : 112 – 118 .
   Web of Science ®Google Scholar
• Qin , X , Ivan , JN and Ravishanker , N . 2004 . Selecting exposure measures in crash rate prediction for two-lane highway segments . Accident analysis and prevention , 36 ( 2 ) : 183 – 191 .
   PubMed Web of Science ®Google Scholar
• Rail Safety and Standards Board . 2007 . Annual safety performance report , London , UK : Rail Safety and Standards Board .
   Google Scholar
• Rao , CR . 1973 . Linear statistical nference and its applications , New York : John Wiley and Sons .
   Google Scholar
• Saccomanno , FF , Fu , L and Miranda-Moreno , LF . 2004 . Risk-based model for identifying high-rail grade crossing blackspots . Transportation research record , 1862 : 127 – 135 .
   Google Scholar
• Saccomanno , FF and Lai , X . 2005 . A model for evaluating countermeasures at highway–railway grade crossings . Transportation research record , 1918 : 18 – 25 .
   Google Scholar
• Saccomanno , FF , Park , PYJ and Fu , L . 2007 . Estimating countermeasure effects for reducing collisions at highway–railway grade crossings . Accident analysis and prevention , 39 ( 2 ) : 406 – 416 .
   PubMed Web of Science ®Google Scholar
• Shankar , V , Milton , J and Mannering , F . 1997 . Modeling accident frequencies as zero-altered probability processes: an empirical inquiry . Accident analysis and prevention , 29 ( 6 ) : 829 – 837 .
   PubMed Web of Science ®Google Scholar
• Shankar , VN . 2004 . Marginal impacts of design, traffic, weather, and related interactions on roadside crashes . Transportation research record , 1897 : 156 – 163 .
   Web of Science ®Google Scholar
• Song , JJ . 2006 . Bayesian multivariate spatial models for roadway traffic collision mapping . Journal of multivariate analysis , 97 ( 1 ) : 246 – 273 .
   Web of Science ®Google Scholar
• TRA . 2008 . Taiwanese railway annual safety report , Taiwan : TRA, MOTC .
   Google Scholar
• Vogt , A and Bared , J . 1998. Accident prediction models for two-lane rural roads: segments and intersections. Washington, DC: FHWA, US Department of Transportation, FHWA-RD-98-133
   Google Scholar
• Zhang , C and Ivan , JN . 2005 . Effects of geometric characteristics on head-on crash incidence on two roads in Connecticut . Transportation research record , 1908 : 159 – 164 .
   Web of Science ®Google Scholar