Partial proportional odds model—An alternate choice for analyzing pedestrian crash injury severities

Abdel-Aty, 2003, Analysis of driver injury severity levels at multiple locations using ordered probit models, J. Saf. Res., 34, 597, 10.1016/j.jsr.2003.05.009 Abdel-Aty, 2000, Modeling traffic accident occurrence and involvement, Accid. Anal. Prev., 32, 633, 10.1016/S0001-4575(99)00094-9 Anastasopoulos, 2009, A note on modeling vehicle accident frequencies with random-parameters count models, Accid. Anal. Prev., 41, 153, 10.1016/j.aap.2008.10.005 Bhat, 2014, A count data model with endogenous covariates: formulation and application to roadway crash frequency at intersections, Anal. Methods Accid. Res., 1, 53, 10.1016/j.amar.2013.10.001 Bhat, 2013, A new estimation approach to integrate latent psychological constructs in choice modeling Carson, 2001, The effect of ice warning signs on accident frequencies and severities, Accid. Anal. Prev., 33, 99, 10.1016/S0001-4575(00)00020-8 Castro, 2013, A spatial generalized ordered response model to examine highway crash injury severity, Accid. Anal. Prev., 52, 188, 10.1016/j.aap.2012.12.009 Chang, 1999, Analysis of injury severity and vehicle occupancy in truck- and non-truck-involved accidents, Accid. Anal. Prev., 31, 579, 10.1016/S0001-4575(99)00014-7 Donnell, 2004, Predicting the severity of median-related crashes in Pennsylvania by using logistic regression, Transp. Res. Rec., 1897, 55, 10.3141/1897-08 Duncan, 1998, Applying the ordered probit model to injury severity in truck-passenger car rear-end collisions, Transp. Res. Rec., 1635, 63, 10.3141/1635-09 Eluru, 2013, Evaluating alternate discrete choice frameworks for modeling ordinal discrete variables, Accid. Anal. Prev., 55, 1, 10.1016/j.aap.2013.02.012 Eluru, 2007, A joint econometric analysis of seatbelt use and crash-related injury severity, Accid. Anal. Prev., 39, 1037, 10.1016/j.aap.2007.02.001 Eluru, 2008, A mixed generalized ordered response model for examining pedestrian and bicyclist injury severity level in traffic crashes, Accid. Anal. Prev., 40, 1033, 10.1016/j.aap.2007.11.010 Eluru, 2010, Modeling multiple vehicle occupant injury severity: a copula-based multivariate approach, Transp. Res. Rec., 2165, 1, 10.3141/2165-01 Everitt, 1988, A finite mixture model for the clustering of mixed-model data, Stat. Probab. Lett., 6, 305, 10.1016/0167-7152(88)90004-1 Francis, 2012, Characterizing the performance of the Conway–Maxwell–Poisson generalized linear model, Risk Anal., 32, 167, 10.1111/j.1539-6924.2011.01659.x Fu, 1998, Estimating generalized ordered logit models, vol. 8, 160 Greene, 2003 Hadi, 1995, Estimating safety effects of cross-section design for various highway types using negative binomial regression, 169 Hedeker, 2006, Location-scale models for multilevel ordinal data: between- and within-subjects variance modeling, J. Probab. Stat. Sci., 4, 1 Hutchinson, 1986, Statistical modeling of injury severity, with special reference to driver and front seat passenger in single-vehicle crashes, Accid. Anal. Prev., 18, 157, 10.1016/0001-4575(86)90060-6 Hu, 2010, Median barrier crash severity: some new insights, Accid. Anal. Prev., 42, 1697, 10.1016/j.aap.2010.04.009 Jones, 1991, Analysis of the frequency and duration of freeway accidents in Seattle, Accid. Anal. Prev., 23, 239, 10.1016/0001-4575(91)90003-N Jung, 2010, Rain fall effect on single-vehicle crash severities using polychotomous response models, Accid. Anal. Prev., 42, 213, 10.1016/j.aap.2009.07.020 Karwa, 2011, Causal inference in transportation safety studies: comparison of the potential outcomes and causal Bayesian networks, Ann. Appl. Stat., 5, 1428, 10.1214/10-AOAS440 Keele, 2006, Difficult choices: an evaluation of heterogeneous choice models Khorashadi, 2005, Differences in rural and urban driver-injury severities in accidents involving large trucks: an exploratory analysis, Accid. Anal. Prev., 37, 910, 10.1016/j.aap.2005.04.009 Kim, 2008, Age and pedestrian injury severity in motor-vehicle crashes: a heteroskedastic logit analysis, Accid. Anal. Prev., 40, 1695, 10.1016/j.aap.2008.06.005 Kim, 2010, A note on modeling pedestrian injury severity in motor vehicle crashes with the mixed logit model, Accid. Anal. Prev., 42, 1073, 10.1016/j.aap.2010.04.016 Lee, 2002, Impact of roadside features on the frequency and severity of run-off-roadway accidents: an empirical analysis, Accid. Anal. Prev., 34, 149, 10.1016/S0001-4575(01)00009-4 Lord, 2006, Modelingmotor 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, Accid. Anal. Prev., 38, 751, 10.1016/j.aap.2006.02.001 Lord, 2008, Investigating the effects of the fixed and varying dispersion parameters of Poisson-gamma models on empirical Bayes estimates, Accid. Anal. Prev., 40, 1441, 10.1016/j.aap.2008.03.014 Lord, 2012, The Conway–Maxwell–Poisson model for analyzing crash data, Appl. Stochastic Models Business Ind., 28, 122, 10.1002/asmb.937 Mannering, 2014, Analytic methods in accident research: methodological frontier and future directions, Anal. Methods Accid. Res., 1, 1, 10.1016/j.amar.2013.09.001 McFadden, 2000, Mixed MNL models for discrete response, J. Appl. Econ., 15, 447, 10.1002/1099-1255(200009/10)15:5<447::AID-JAE570>3.0.CO;2-1 Milton, 1998, The relationship among highway geometrics, traffic related elements and motor vehicle accident frequencies, Transportation, 25, 395, 10.1023/A:1005095725001 Milton, 2008, Highway accident severities and the mixed logit model: an exploratory empirical analysis, Accid. Anal. Prev., 40, 260, 10.1016/j.aap.2007.06.006 Mooradian, 2013, Analysis of driver and passenger crash injury severity using partial proportional odds models, Accid. Anal. Prev., 58, 53, 10.1016/j.aap.2013.04.022 Narayanamoorthy, 2013, On accommodating spatial dependence in bicycle and pedestrian injury counts by severity level, Transp. Res. B, 55, 245, 10.1016/j.trb.2013.07.004 O’Donnell, 1996, Predicting the severity of motor vehicle accident injuries using models of ordered multiple choices, Accid. Anal. Prev., 28, 739, 10.1016/S0001-4575(96)00050-4 Park, 2009, Application of finite mixture models for vehicle crash data analysis, Accid. Anal. Prev., 41, 683, 10.1016/j.aap.2009.03.007 Park, 2010, Bias properties of Bayesian statistics infinite mixture of negative regression models for crash data analysis, Accid. Anal. Prev., 45, 741, 10.1016/j.aap.2009.11.002 Peterson, 1990, Partial proportional odds models for ordinal response variables, Appl. Stat., 39, 205, 10.2307/2347760 Poch, 1996, Negative binomial analysis of intersection-accident frequencies, J. Transp. Eng., 122, 105, 10.1061/(ASCE)0733-947X(1996)122:2(105) Posada, 2004, Model selection and model averaging in phylogenetics: advantages of akaike information criterion and bayesian approaches over likelihood ratio tests, Syst. Biol., 53, 793, 10.1080/10635150490522304 Quddus, 2010, Road traffic congestion and crash severity: an econometric analysis using ordered response models, J. Transp. Eng., 136, 424, 10.1061/(ASCE)TE.1943-5436.0000044 Rifaat, 2011, Effect of street pattern on the severity of crashes involving vulnerable road users, Accid. Anal. Prev., 43, 276, 10.1016/j.aap.2010.08.024 Renski, 1998, Impact of speed limit increases on crash injury severity: analysis of single-vehicle crashes on North Carolina interstate highways Sasidharan, 2013, Application of propensity scores and potential outcomes to estimate effectiveness of traffic safety countermeasures: exploratory analysis using intersection lighting data, Accid. Anal. Prev., 50, 539, 10.1016/j.aap.2012.05.036 Savolainen, 2008, Examination of factors affecting driver injury severity in Michigan's single- vehicle–deer crashes, Transp. Res. Rec., 2078, 17, 10.3141/2078-03 Savolainen, 2007, Probabilistic models of motorcyclists’ injury severities in single- and multi-vehicle crashes, Accid. Anal. Prev., 39, 955, 10.1016/j.aap.2006.12.016 Savolainen, 2005, Safety impacts at intersections on curved segments, Transp. Res. Rec., 1908, 130, 10.3141/1908-16 Savolainen, 2011, The statistical analysis of crash–injury severities: a review and assessment of methodological alternatives, Accid. Anal. Prev., 43, 1666, 10.1016/j.aap.2011.03.025 Schneider, 2011, Comparison of motorcyclist injury severity among various crash types, Transp. Res. Rec., 2265, 70, 10.3141/2265-08 Shankar, 1996, An exploratory multinomial logit analysis of single-vehicle motorcycle accident severity, J. Saf. Res., 27, 183, 10.1016/0022-4375(96)00010-2 Shankar, 1995, Effect of roadway geometrics and environmental factors on rural accident frequencies, Accid. Anal. Prev., 27, 371, 10.1016/0001-4575(94)00078-Z Shankar, 1998, Evaluating median cross-over likelihoods with clustered accident counts: an empirical inquiry using the random effects negative binomial model, Transp. Res. Rec., 1635, 44, 10.3141/1635-06 Shankar, 1997, Modeling accident frequencies as zero altered probability processes: an empirical inquiry, Accid. Anal. Prev., 29, 829, 10.1016/S0001-4575(97)00052-3 Stata, 2005 Tay, 2011, A multinomial logit model of pedestrian–vehicle crash severity, Int. J. Sustainable Transp., 5, 233, 10.1080/15568318.2010.497547 Train, 2003 Ulfarsson, 2004, Difference in male and female injury severities in sport-utility vehicle, minivan, pickup and passenger car accidents, Accid. Anal. Prev., 36, 135, 10.1016/S0001-4575(02)00135-5 Wang, 2008, Analysis of left-turn crash injury severity by conflicting pattern using partial proportional odds models, Accid. Anal. Prev., 40, 1674, 10.1016/j.aap.2008.06.001 Washington, 2011, 425 Williams, 2006, Generalized ordered logit/partial proportional odds models for ordinal dependent variables, Stata J., 6, 58, 10.1177/1536867X0600600104 Williams, 2013 Wooldridge, 2002 Wu, 2013, Exploring the association between traffic safety and geometric design consistency based on vehicle speed metrics, J. Trans. Eng., 139, 738, 10.1061/(ASCE)TE.1943-5436.0000553 Yamamoto, 2004, Bivariate ordered-response probit model of driver's and passenger's injury severities in collisions with fixed objects, Accid. Anal. Prev., 36, 869, 10.1016/j.aap.2003.09.002 Yasmin, 2013, Evaluating alternate discrete outcome frameworks for modeling crash injury severity, Accid. Anal. Prev., 59, 506, 10.1016/j.aap.2013.06.040 Yasmin, 2013, Alternative ordered response frameworks for examining pedestrian injury severity in New York City, J. Transp. Saf. Secur. Yasmin, 2013, Examining driver injury severity in two vehicle crashes—a copula based approach Ye, 2011, Investigation of effects of under reporting crash data on three commonly used traffic crash severity models:multinomial logit, ordered probit, and mixed logit, Transp. Res. Rec., 2241, 51, 10.3141/2241-06 Ye, 2014, Comparing three commonly used crash severity models on sample size requirements: multinomial logit, ordered probit, and mixed logit, Anal. Methods Accid. Res., 1, 72, 10.1016/j.amar.2013.03.001 Zajac, 2003, Factors influencing injury severity of motor vehicle–crossing pedestrian crashes in rural Connecticut, Accid. Anal. Prev., 35, 369, 10.1016/S0001-4575(02)00013-1 Zou, 2013, Application of finite mixture of negative binomial regression models with varying weight parameters for vehicle crash data analysis, Accid. Anal. Prev., 50, 1042, 10.1016/j.aap.2012.08.004