Table 6.

Copula-based joint modelling results under different severity levels.

 ParameterLevel 1 & frequency (Gaussian copula)Level 2 & frequency (Frank copula)Level 3 & frequency (Gaussian copula)
Binary logitZTPBinary logitZTPBinary logitZTP
Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)
Intercept0.493 (0.147)−1.248 (0.064)−1.023(0.157)−1.257 (0.064)−2.506(0.093)−1.251(0.064)
Volume0.508*** (0.051)0.522*** (0.052)0.507*** (0.052)
Avg_speed0.258*** (0.060)−0.131* (0.056)−0.322*** (0.078)
Std_speed−0.137* (0.067)0.118* (0.065)
Cv_speed0.436*** (0.033)0.443*** (0.033)0.442*** (0.033)
Prop_truck−0.189* (0.079)−0.187* (0.079)−0.194* (0.079)
Diff_AvgS−0.457*** (0.073)−0.486*** (0.074)−0.465*** (0.073)
Diff_StdS0.288** (0.088)0.200** (0.066)−0.131* (0.063)0.208** (0.066)0.200** (0.065)
Diff_CvS−0.291** (0.104)−0.165*** (0.045)−0.179*** (0.045)0.189** (0.069)−0.169*** (0.045)
Lanetype_12−0.354* (0.161)0.518** (0.171)
Lanetype_220.460* (0.219)
Kendall's |${{\tau }}$|−0.234 (−0.290, −0.166)0.152 (0.096, 0.215)0.168 (0.098, 0.241)
 ParameterLevel 1 & frequency (Gaussian copula)Level 2 & frequency (Frank copula)Level 3 & frequency (Gaussian copula)
Binary logitZTPBinary logitZTPBinary logitZTP
Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)
Intercept0.493 (0.147)−1.248 (0.064)−1.023(0.157)−1.257 (0.064)−2.506(0.093)−1.251(0.064)
Volume0.508*** (0.051)0.522*** (0.052)0.507*** (0.052)
Avg_speed0.258*** (0.060)−0.131* (0.056)−0.322*** (0.078)
Std_speed−0.137* (0.067)0.118* (0.065)
Cv_speed0.436*** (0.033)0.443*** (0.033)0.442*** (0.033)
Prop_truck−0.189* (0.079)−0.187* (0.079)−0.194* (0.079)
Diff_AvgS−0.457*** (0.073)−0.486*** (0.074)−0.465*** (0.073)
Diff_StdS0.288** (0.088)0.200** (0.066)−0.131* (0.063)0.208** (0.066)0.200** (0.065)
Diff_CvS−0.291** (0.104)−0.165*** (0.045)−0.179*** (0.045)0.189** (0.069)−0.169*** (0.045)
Lanetype_12−0.354* (0.161)0.518** (0.171)
Lanetype_220.460* (0.219)
Kendall's |${{\tau }}$|−0.234 (−0.290, −0.166)0.152 (0.096, 0.215)0.168 (0.098, 0.241)
Table 6.

Copula-based joint modelling results under different severity levels.

 ParameterLevel 1 & frequency (Gaussian copula)Level 2 & frequency (Frank copula)Level 3 & frequency (Gaussian copula)
Binary logitZTPBinary logitZTPBinary logitZTP
Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)
Intercept0.493 (0.147)−1.248 (0.064)−1.023(0.157)−1.257 (0.064)−2.506(0.093)−1.251(0.064)
Volume0.508*** (0.051)0.522*** (0.052)0.507*** (0.052)
Avg_speed0.258*** (0.060)−0.131* (0.056)−0.322*** (0.078)
Std_speed−0.137* (0.067)0.118* (0.065)
Cv_speed0.436*** (0.033)0.443*** (0.033)0.442*** (0.033)
Prop_truck−0.189* (0.079)−0.187* (0.079)−0.194* (0.079)
Diff_AvgS−0.457*** (0.073)−0.486*** (0.074)−0.465*** (0.073)
Diff_StdS0.288** (0.088)0.200** (0.066)−0.131* (0.063)0.208** (0.066)0.200** (0.065)
Diff_CvS−0.291** (0.104)−0.165*** (0.045)−0.179*** (0.045)0.189** (0.069)−0.169*** (0.045)
Lanetype_12−0.354* (0.161)0.518** (0.171)
Lanetype_220.460* (0.219)
Kendall's |${{\tau }}$|−0.234 (−0.290, −0.166)0.152 (0.096, 0.215)0.168 (0.098, 0.241)
 ParameterLevel 1 & frequency (Gaussian copula)Level 2 & frequency (Frank copula)Level 3 & frequency (Gaussian copula)
Binary logitZTPBinary logitZTPBinary logitZTP
Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)Coef. (Std. Err.)
Intercept0.493 (0.147)−1.248 (0.064)−1.023(0.157)−1.257 (0.064)−2.506(0.093)−1.251(0.064)
Volume0.508*** (0.051)0.522*** (0.052)0.507*** (0.052)
Avg_speed0.258*** (0.060)−0.131* (0.056)−0.322*** (0.078)
Std_speed−0.137* (0.067)0.118* (0.065)
Cv_speed0.436*** (0.033)0.443*** (0.033)0.442*** (0.033)
Prop_truck−0.189* (0.079)−0.187* (0.079)−0.194* (0.079)
Diff_AvgS−0.457*** (0.073)−0.486*** (0.074)−0.465*** (0.073)
Diff_StdS0.288** (0.088)0.200** (0.066)−0.131* (0.063)0.208** (0.066)0.200** (0.065)
Diff_CvS−0.291** (0.104)−0.165*** (0.045)−0.179*** (0.045)0.189** (0.069)−0.169*** (0.045)
Lanetype_12−0.354* (0.161)0.518** (0.171)
Lanetype_220.460* (0.219)
Kendall's |${{\tau }}$|−0.234 (−0.290, −0.166)0.152 (0.096, 0.215)0.168 (0.098, 0.241)
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