## 6 Results and Discussions
\begin{table}
\begin{tabular}{l c c c c} \hline \hline
**Variables** & **RPOL** & \multicolumn{2}{c}{**RPOLMH**} \\ \cline{2-5}  & **Coefficient** & **t-Stat** & **Coefficient** & **t-Stat** \\ \hline \hline \(\mathrm{VA_{MAX}}\) & \(-0.122\) ** & \(-2.34\) & \(-0.164\) *** & \(-2.830\) \\ \(\mathrm{LTV_{MEAN}}\) & 1.707 *** & 22.03 & 2.122 *** & 22.440 \\ \(\mathrm{TA_{MEAN}}\) & \(-0.572\) *** & \(-9.36\) & \(-0.747\) *** & \(-10.720\) \\ \(\mathrm{ZNP_{ETTC}}\) & 0.789 *** & 13.18 & 0.332 * & 1.910 \\ \(\mathrm{N_{LLC1}}\) & 0.319 ** & 2.37 & 0.417 *** & 2.780 \\ Random parameters & & & & \\ \(\mathrm{TV_{STD}}\) & 0.184 *** & 2.69 & 0.404 *** & 2.910 \\ \(\mathrm{Standard deviation for the random parameter (TV_{STD})}\) & 0.674 *** & 17.18 & 1.013 *** & 20.310 \\ \(\mathrm{Z_{VOL}}\) & \(-0.286\) *** & \(-4.12\) & \(-1.290\) *** & \(-9.340\) \\ Standard deviation for the random parameter (\(\mathrm{Z_{VOL}}\)) & 0.903 *** & 26.85 & 1.381 *** & 28.010 \\ \(\mathrm{ZE_{STD}}\) & 0.262 *** & 4.62 & 0.382 *** & 3.80 \\ Standard deviation for the random parameter (\(\mathrm{ZE_{STD}}\)) & 0.975 *** & 23.14 & 1.086 *** & 22.490 \\ Heterogeneity in the means of random parameters & & & & \\ \(\mathrm{TV_{STD}}\): & & & 0.895 * & 1.420 \\ \(\mathrm{Z_{MIX}}\) & & & & \(-0.239\) ** & \(-2.110\) \\ \(\mathrm{T_{STD}}\): & & & & \\ \(\mathrm{L_{M}}\) & & & & \\ \(\mathrm{ZSP_{ETTC}}\) & & & & \(-0.149\) ** & \(-2.540\) \\ \(\mathrm{ZV_{OL}}\): & & & & 0.937 * & 1.270 \\ \(\mathrm{Z_{MIX}}\) & & & & 0.613 *** & 8.270 \\ \(\mathrm{ZVP_{CTLC}}\) & & & & 0.107 * & 1.800 \\ \(\mathrm{L_{M}}\) & & & & \\ \(\mathrm{ZE_{STD}}\): & & & & \\ \(\mathrm{ZSP_{ETTC}}\) & & & & \(-0.144\) ** & \(-2.410\) \\ \(\mathrm{ZNP_{ETTC}}\) & & & & & \\ \(\mathrm{Number of parameters}\) & 18 & & & 25 \\ Number of observations & 2466 & & & 2466 \\ Log-likelihood with constants only & \(-3000.274\) & & & \(-3000.274\) \\ Log-likelihood at convergence & \(-2308.335\) & & & \(-2294.59157\) \\ Akaike information criterion (AIC) & 4652.7 & & & 4639.2 \\ McFadden Pseudo R-squared & 0.230 & & & 0.235 \\ \hline \hline \end{tabular} Notes: *, **, and *** denote the statistical significance at 0.1, 0.05, and 0.01 levels, respectively.  
\end{table} 
Table 7: _Cont._ \begin{table}
\begin{tabular}{l c c c} \hline \hline
**Variables** & **RPOL** & \multicolumn{2}{c}{**RPOLMH**} \\ \cline{2-4}  & **Coefficient** & **t-Stat** & **Coefficient** & **t-Stat** \\ \hline \hline Nonrandom parameters & \(3.565\) *** & \(27.37\) & \(3.869\) *** & \(26.88\) \\ \(\mathrm{Constant}\) & \(-7.383\) *** & \(-11.32\) & \(-7.475\) *** & \(-10.41\) \\ \(\mathrm{L_{INIT}2}\) & \(-1.140\) *** & \(-8.85\) & \(-1.141\) *** & \(-8.46\) \\ \(\mathrm{Z_{MIX}}\) & \(-0.130\) * & \(-1.81\) & \(-0.420\) & \(-2.2\) \\ \(\mathrm{Lat}\) & \(0.075\) * & \(2.59\) & \(-0.395\) ** & \(-2.53\) \\ \(\mathrm{VA_{MAX}}\) & \(0.184\) *** & \(3.29\) & \(0.244\) *** & \(4.17\) \\ \(\mathrm{TV_{MEAN}}\) & \(1.903\) *** & \(23.28\) & \(2.077\) ** & \(23.57\) \\ \(\mathrm{TA_{MEAN}}\) & \(-0.447\) *** & \(-5.85\) & \(-0.453\) *** & \(-5.67\) \\ \(\mathrm{ZZII_{ETTC}}\) & \(0.694\) *** & \(10.81\) & \(0.224\) & \(1.27\) \\ \(\mathrm{Z_{TET}}\) & \(-0.224\) *** & \(-3.5\) & \(-0.270\) *** & \(-4.05\) \\ \(\mathrm{N_{RLC1}}\) & \(0.983\) *** & \(8.8\) & \(1.095\) *** & \(9.37\) \\ \(\mathrm{Random parameters}\) & \(-0.799\) *** & \(-10.33\) & \(-1.746\) *** & \(-9.57\) \\ \(\mathrm{Q.641}\) *** & \(21.28\) & \(0.744\) *** & \(22.33\) \\ \(\mathrm{ZZ_{STD}}\) & \(0.192\) *** & \(3.07\) & \(0.040\) *** & \(3.13\) \\ \(\mathrm{Standard deviation for the random parameter (ZE_{STD})}\) & \(0.577\) *** & \(14.45\) & \(0.520\) *** & \(12.95\) \\ \(\mathrm{TV_{STD}}\) & \(-0.518\) * & \(-7.2\) & \(0.990\) * & \(6.60\) \\ \(\mathrm{Standard deviation for the random parameter (TV_{STD})}\) & \(0.815\) *** & \(17.24\) & \(0.977\) *** & \(18.68\) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Parameter estimation results for ETC-MTC vehicle-following pattern.