Research Article

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

Table 10

Zero-inflated multivariate 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)−0.228 (−1.02)0.426 (4.48)−0.0568 (−0.16)

Traffic characteristics
Interchange23−0.314 (−2.48)−0.552 (−2.46)
Black spots51.020 (16.68)0.859 (10.40)1.004 (7.92)1.050 (22.56)1.230 (5.18)
AADT40.0000236 (10.04)0.00000909 (3.03)0.0000114 (2.62)0.0000282 (15.83)

Speed characteristics
4−0.0134 (−5.96)−0.00807 (−2.81)−0.00999 (−2.21)−0.0155 (−9.21)
40.0119 (5.27)0.00829 (2.85)0.0113 (6.76)0.0235 (2.48)
20.0209 (4.86)0.0228 (6.93)
4−0.0196 (−6.81)−0.00939 (−2.54)−0.0142 (−2.62)−0.202 (−9.33)

Geometric characteristics
20.000000154 (2.54)0.000000110 (2.45)
10.000239 (2.13)
20.00000041 (6.12)0.000000336 (6.75)
50.000567 (15.62)0.000460 (9.02)0.000606 (8.71)0.000595 (21.66)0.000735 (6.54)
10.000000093 (2.08)
1−0.000131 (−2.71)
3−0.000348 (−3.67)−0.000545 (−3.07)−0.000423 (−2.83)

Sight characteristics
5−0.00644 (−4.78)−0.00641 (−3.35)−0.0106 (−3.51)−0.00696 (−6.65)−0.0137 (−2.61)
3−0.104 (−3.93)−0.106 (−3.06)−0.107 (−5.39)

Total number of parameters: 53; log-likelihood: −16194.117; AIC: 32662.229; BIC: 33203.686; :41460.088.