Research Article

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

Table 8

Independent Poisson 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)

Constant50.177 (1.41)0.515 (3.27)−0.460 (−2.31)0.228 (2.51)−0.348 (−1.07)

Traffic characteristics
Interchange33−0.3482 (−3.01)−0.088 (−1.93)−0.529 (−2.54)
Black spots51.020 (16.68)0.859 (10.40)1.227 (10.68)1.083 (23.20)1.316 (6.10)
AADT50.0000236 (10.04)0.00000909 (3.03)0.000011 (2.77)0.0000312 (18.14)−0.000014 (0.047)

Speed characteristics
5−0.0134 (−5.96)−0.00807 (−2.81)−0.0144 (−3.73)−0.0181 (−10.98)−0.0154 (−2.05)
50.0119 (5.27)0.00829 (2.85)0.0112 (2.80)0.0124 (7.53)0.0219 (2.70)
20.0209 (4.86)0.0285 (8.90)
4−0.0196 (−6.81)−0.00939 (−2.54)−0.0190 (−3.90)−0.0234 (−11.05)

Geometric characteristics
20.000000154 (2.54)0.000000148 (3.36)
30.0000506 (1.94)0.000272 (2.62)
20.000000410 (6.12)0.000000375 (7.71)
50.000567 (15.62)0.000460 (9.02)0.000659 (10.59)0.000630 (24.12)0.00075 (7.16)
1−0.000131 (−2.71)
1−0.108 (−2.44)
4−0.0003483 (−3.67)−0.0004866 (−2.91)−0.000437 (−6.18)−0.000644 (−2.12)

Sight characteristics
5−0.00644 (−4.78)−0.00641 (−3.35)−0.0118 (−4.28)−0.00847 (−8.14)−0.0142 (−3.03)
4−0.104 (−3.93)−0.106 (−3.06)−0.110 (−2.37)−0.1232 (−6.11)

Total number of parameters: 61; log-likelihood: −16595.848; AIC: 33441.697; BIC: 33934.501; :50507.432.