Accident Analysis and Prevention 40 (2008) 1674–1682
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Accident Analysis and Prevention
journal homepage: www.elsevier.com/locate/aap
Analysis of left-turn crash injury severity by conflicting pattern using partial
proportional odds models
Xuesong Wang
∗
, Mohamed Abdel-Aty
Department of Civil & Environmental Engineering, University of Central Florida, Orlando, FL 32816-2450, United States
article info
Article history:
Received 19 October 2007
Received in revised form 24 May 2008
Accepted 2 June 2008
Keywords:
Signalized intersection
Left-turn crash
Conflicting pattern
Crash injury severity
Partial proportional odds model
Significant factor
abstract
The purpose of this study is to examine left-turn crash injury severity. Left-turning traffic colliding with
opposing through traffic and with near-side through traffic are the two most frequently occurring con-
flicting patterns among left-turn crashes (Patterns 5 and 8 in the paper, respectively), and they are prone
to be severe. Ordered probability models with either logit or probit function is commonly applied in crash
injury severity analyses; however, its critical assumption that the slope coefficients do not vary over dif-
ferent alternatives except the cut-off points is usually too restrictive. Partial proportional odds models are
generalizations of ordered probability models, for which some of the beta coefficients can differ across
alternatives, were applied to investigate Patterns 5 and 8, and the total left-turn crash injuries. The results
show that partial proportional odds models consistently perform better than ordered probability models.
By focusing on specific conflicting patterns, locating crashes to the exact crash sites and relating approach
variables to crash injury in the analysis, researchers are able to investigate how these variables affect
left-turn crash injuries. For example, opposing through traffic and near-side crossing through traffic in
the hour of collision were identified significant for Patterns 5 and 8 crash injuries, respectively. Protected
left-turn phasing is significantly correlated with Pattern 5 crash injury. Many other variables in driver
attributes, vehicular characteristics, roadway geometry design, environmental factors, and crash charac-
teristics were identified. Specifically, the use of the partial proportional formulation allows a much better
identification of the increasing effect of alcohol and/or drug use on crash injury severity, which previously
was masked using the conventional ordered probability models.
© 2008 Elsevier Ltd. All rights reserved.
1. Introduction
Intersections are among the most dangerous locations of a road-
way network. In the state of Florida, 43.1% of fatalities and serious
injuries occurred at or were influenced by intersections (Florida
Department of Transportation, 2006). In the U.S., although only
around 10% of all intersections are signalized, in 2005, nearly 30%
(2744) of intersection fatalities occurred at signalized intersections
(Rice, 2007). Left-turn crashes occur frequently and they account
for a high percentage of total crashes at signalized intersections.
They are prone to be severe, possibly due to the relatively high con-
flicting speeds of involved vehicles and the angle of impact. In a
sample of signalized intersections collected in Orange and Hillsbor-
ough counties in Florida, 64.2% of left-turn crashes involved injury,
∗
Corresponding author at: Department of Civil & Environmental Engineering,
University of Central Florida, Engr II, Room 301B, Orlando, FL 32816-2450,
United States. Tel.: +1 407 8234902; fax: +1 407 8234676.
E-mail address: xuewang@mail.ucf.edu (X. Wang).
whereas the percentage of injury crashes was only 50.1% for all
other crashes.
From 2002, a series of crash frequency studies have been
conduced in Florida to identify the crash profiles for the major inter-
section types (Abdel-Aty and Wang, 2006; Wang and Abdel-Aty,
2006, 2007, 2008; Wang et al., 2006). In one study, Wang and Abdel-
Aty (2008) investigated conflicting flows, intersection geometric
design features, and traffic control and operational features on left-
turn crash occurrence. Left-turn crashes were classified into distinct
conflicting patterns (i.e., left-turn traffic colliding with opposing
through traffic, or with near-side through traffic, etc.), and then the
crash frequencies of different patterns were modeled. The studies
indicate there are obvious differences in the factors which corre-
lated with different left-turn collisions. However, crash frequency
studies model accumulated crash counts, which ignores the dif-
ference of severe and minor crashes. Therefore, they are unable to
investigate how specific features affect crash injury severity.
The left-turn crashes at signalized intersections result in a huge
cost to society in terms of death, injury, lost productivity, and prop-
erty damage. However, how the different factors affect left-turn
0001-4575/$ – see front matter © 2008 Elsevier Ltd. All rights reserved.
doi:10.1016/j.aap.2008.06.001