Research Article

Random-Parameter Multivariate Negative Binomial Regression for Modeling Impacts of Contributing Factors on the Crash Frequency by Crash Types

Table 9

Zero-inflated multivariate negative binomial model estimation results.

Variables1No.2Rear-end estimate (t-stat)Bumping-guardrail estimate (t-stat)Other estimate (t-stat)Noncasualty estimate (t-stat)Casualty estimate (t-stat)

Constant50.0433 (0.27)0.501 (3.07)−0.527 (−2.11)−0.0191 (−0.12)−0.430 (−1.13)

Traffic characteristics
Interchange33−0.422 (−2.91)−0.164 (−1.95)−0.601 (−2.55)
Black spots51.057 (11.06)0.859 (9.77)1.276 (7.17)1.196 (9.54)1.322 (4.88)
AADT40.0000263 (8.66)0.00000936 (3.00)0.0000126 (2.52)0.0000365 (11.55)

Speed characteristics
5−0.0131 (−3.63)−0.00812 (−2.38)−0.0140 (−2.63)−0.0177 (−4.58)−0.0161 (−1.85)
50.0114 (3.31)0.00828 (2.45)0.0109 (2.09)0.0119 (3.25)0.0237 (2.45)
20.0210 (3.14)0.0272 (3.82)
4−0.0190 (−4.09)−0.00934 (−2.11)−0.0182 (−2.67)−0.0221 (−4.40)

Geometric characteristics
10.000251 (2.13)
20.000000361 (3.69)0.000000375 (3.63)
50.000588 (10.32)0.000468 (8.12)0.000755 (8.09)0.000753 (11.64)0.000748 (6.25)
1−0.000133 (−2.48)
3−0.000357 (−2.51)−0.000423 (−2.83)−0.000588 (−1.76)

Sight characteristics
5−0.00540 (−2.78)−0.00633 (−2.86)−0.0111 (−3.20)−0.00706 (−3.44)−0.0135 (−2.51)
3−0.0860 (−2.13)−0.105 (−2.57)−0.0878 (−2.06)

Total number of parameters: 53; log-likelihood: −14352.888; AIC: 29131.777; BIC: 29674.168; :19426.561.