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. 2024 Feb 24;10(5):e26944. doi: 10.1016/j.heliyon.2024.e26944

Table 3.

Model results including the marginal effects.

Variables In Injury severity of: Parameter estimates: t-statistics Marginal Effects
Major Injury Minor Injury No Injury
Constant 1.47 17.91
Random Parameter
Shoulder and Lap Belt Used Major Injury −3.01 −3.75 −0.0066 0.0009 0.0057
Standard deviation “Shoulder and Lap Belt Used” (Normally distributed) 1.94 3.24
Male driver Minor Injury −1.13 −5.29 −0.0006 0.011 −0.0104
Standard deviation “Male” (Normally distributed) 1.99 6.83
Overturn/Rollover Minor Injury 0.69 2.19 −0.0014 0.012 −0.0106
Standard deviation “Overturn/Rollover” (Normally distributed) 2.66 2.9
Heterogeneity in means
Shoulder and Lap Belt Used: Tire blowout or separation 0.56 3.57
Male driver: Tire blowout or separation −0.34 −2.81
Overturn/Rollover: Tire blowout or separation 0.54 1.84
Crash characteristics
DUI Major Injury 0.61 2.46 0.0008 −0.0001 −0.0006
Head on crash Major Injury 0.79 3.21 0.001 −0.0002 −0.0008
No shoulder and lap belt used Major Injury 0.78 6.22 0.0056 −0.0011 −0.0045
Airbag deployed Minor Injury 1.27 14.22 −0.0011 0.0177 −0.0166
Collision with a ditch (First harmful event) No Injury −0.38 −3.38 0.0007 0.0021 −0.0029
Driving too Fast for Conditions No Injury −0.35 −3.73 0.001 0.003 −0.0039
Rear end collision No Injury 0.36 5.61 −0.0039 −0.0108 0.0127
Driver Characteristics
Teenage driver (13–19 years) Minor Injury 0.48 4.86 −0.0004 0.0086 −0.0081
Driver Age (20–39 years) Minor Injury 0.45 5.74 −0.0015 0.0275 −0.026
Employed No Injury 0.39 7.86 −0.006 −0.0219 0.0279
Driver age (40–59 years) No Injury −0.25 −3.17 0.0021 0.0058 −0.0079
Road and Environmental Characteristics
Curve Left and Down Grade Major Injury 0.70 3.32 0.0014 −0.0003 −0.0011
Rain Major Injury −0.60 −3.94 −0.003 0.0006 0.0025
Vehicle Characteristics
Improper Tread Depth (Vehicle defect) Major Injury 1.12 7.65 0.0079 −0.0015 −0.0064
Pick up Major Injury −0.48 −3.82 −0.0032 0.0005 0.0027
Brake (Vehicle defect) Minor Injury 0.43 6.79 −0.0009 0.0229 −0.022
Component failure (first harmful event) Minor Injury −0.46 −4.18 0.0002 −0.0041 0.0039
Passenger car No Injury 0.21 4.09 −0.0027 −0.0109 0.0136
Wheels (Vehicle defect) No Injury 0.33 2.66 −0.0004 −0.0016 0.002
Headlight (vehicle defect) No Injury −1.12 −4.59 0.0005 0.0011 −0.0015
Vehicle age (less than 6 years) No Injury 0.39 5.26 −0.0015 −0.0057 0.0072
Vehicle age (6–10 years) No Injury 0.26 3.99 −0.0012 −0.0049 0.0061
Model Statistics
Number of Observations 15054
Log-likelihood at constants −16538.51
Log-likelihood at convergence −9396.51
McFadden Pseudo r squared 0.43