Research Article

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

Table 4

Random-parameter 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)

Constant51.867 (1.77)15.393 (15.21)11.763 (0.02)−0.604 (−3.49)0.867 (0.85)

Traffic characteristics
Interchange33−0.422 (−2.91)−0.165 (−2.05)−0.636 (−2.58)
Black spots51.048 (11.25)0.859 (9.77)1.276 (7.17)1.052 (12.37)1.274 (4.97)
AADT50.0000254 (7.90)0.00000936 (3.00)0.0000126 (2.52)0.0000322 (11.11)−0.0000128 (−1.63)

Speed characteristics
5−0.0120 (−3.37)−0.00795 (−2.32)−0.0161 (−3.10)−0.0180 (−5.34)−0.0165 (−1.89)
50.00999 (2.76)0.00788 (2.29)0.0120 (2.22)0.0103 (3.07)0.0231 (2.30)
20.0200 (2.92)−0.0326 (4.93)
4−0.0189 (−4.02)−0.00948 (−2.12)−0.020 (−3.18)−0.0243 (−5.44)

Geometric characteristics
20.000000173 (1.98)0.00000017 (1.91)
10.000278 (2.44)
20.000000359 (3.72)0.000000365 (3.75)
50.000557 (9.86)0.000468 (8.12)0.000672 (7.32)0.000685 (11.07)0.000747 (6.44)
1−0.000133 (−2.48)
3−0.000319 (−2.34)−0.000453 (−3.19)−0.000608 (−1.85)
1−0.000420 (−2.17)

Sight characteristics
5−0.00493 (−2.29)−0.0059 (−2.61)−0.0107 (−3.01)−0.00706 (−3.44)−0.0135 (−2.51)
2−0.100 (−2.40)−0.0878 (−2.06)

Total number of parameters: 56; log-likelihood: −14326.558; AIC: 28985.114; BIC: 29610.316; :23043.735.