Please cite this article in press as: Gkritza, K., Mannering, F.L., Mixed logit analysis of safety-belt use in single- and multi-occupant vehicles,
Accid. Anal. Prev. (2007), doi:10.1016/j.aap.2007.07.013
ARTICLE IN PRESS
+Model
AAP-1540; No. of Pages 9
Accident Analysis and Prevention xxx (2007) xxx–xxx
Mixed logit analysis of safety-belt use in
single- and multi-occupant vehicles
Konstantina Gkritza
a,1
, Fred L. Mannering
b,∗
a
Department of Civil, Construction & Environmental Engineering, 450 Town Engineering Building,
Iowa State University, Ames, IA 50011-3232, United States
b
School of Civil Engineering, 550 Stadium Mall Drive, Purdue University, West Lafayette, IN 47907-2051, United States
Received 13 June 2007; received in revised form 17 July 2007; accepted 20 July 2007
Abstract
In this paper we demonstrate a modeling approach that can be used to better understand the use of safety belts in single- and multi-occupant
vehicles, and the effect that vehicle, roadway and occupant characteristics have on usage rates. Using data from a roadside observational survey
of safety-belt use in Indiana, a mixed (random parameters) logit model is estimated. Potentially interrelated choices of safety-belt use by drivers
and front-seat passengers are examined. The approach we use also allows for the possibility that estimated model parameters can vary randomly
across vehicle occupants to account for unobserved effects potentially relating to roadway characteristics, vehicle attributes, and driver behavior.
Estimation findings indicate that the choices of safety-belt use involve a complex interaction of factors and that the effect of these factors can vary
significantly across the population. Our results show that the mixed logit model can provide a much fuller understanding of the interaction of the
numerous variables which correlate with safety-belt use than traditional discrete-outcome modeling approaches.
© 2007 Elsevier Ltd. All rights reserved.
Keywords: Mixed logit model; Random parameters; Safety-belt use; Passenger safety-belt use
1. Introduction
In the United States, efforts to promote safety-belt use
have been ongoing for several decades with mostly encour-
aging results (see, for example National Highway Traffic
Safety Administration, 1991; National Center for Statistics and
Analysis, 2007). In 1984, New York became the first State to
enact safety-belt use legislation and today, all States except New
Hampshire have some form of a belt-use law that applies to
motorists (at least the driver and front-seat occupants). Research
that has focused on assessing the effectiveness of safety-belt laws
for safety-belt use has concluded that safety-belt laws are one
of the most effective approaches for increasing safety-belt use,
and that primary belt-use laws (where vehicles can be stopped
for non-compliant occupants) are more effective than secondary
belt-use laws (where vehicles can only be stopped if another
traffic infraction occurs) (Rivara et al., 1999; Dinh-Zarr et al.,
∗
Corresponding author. Tel.: +1 765 496 7913.
E-mail addresses: nadia@iasate.edu (K. Gkritza),
flm@ecn.purdue.edu (F.L. Mannering).
1
Tel.: +1 515 867 7290.
2001; White and Washington, 2001; Wells et al., 2002; Cohen
and Einav, 2003; Shults et al., 2004; Houston and Richardson,
2005). Still, as reported by Janssen (1994), Dee (1998) and Eluru
and Bhat (in press), the effect of state safety-belt policies in
terms of reducing injury severities might be more modest than
that reported, because those most likely to be involved in severe
traffic accidents (males, young drivers, or alcohol-users) have
been significantly less responsive to safety-belt laws and their
enforcement status (Shinar, 1993; Dee, 1998). Thus, with riskier
drivers tending to be non-belted, comparisons of belted and non-
belted injury severities may be overstating the effectiveness of
safety belts because, had non-belted drivers been observed in
accidents as belted, their injuries may be more severe because
of their potentially more aggressive driving behavior relative to
those normally observed to be belted.
Aside from state safety-belt laws, several sociodemographic
characteristics of motor vehicle occupants have been found to
correlate with safety-belt use. In general, females have been
found to be more likely to be observed wearing safety belts
than males (see Preusser et al., 1991; Reinfurt et al., 1996;
Nelson et al., 1998; Wells et al., 2002; Calisir and Lehto, 2002;
Glassbrenner et al., 2004). Young adults have generally exhib-
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doi:10.1016/j.aap.2007.07.013