## 3 Methodology
### Statistical Significance of Analytical Indicators
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Comparison Group**} & \multirow{2}{*}{**Scenarios**} & \multirow{2}{*}{**Mean (km/h)**} & \multirow{2}{*}{**S.D.**} & \multicolumn{3}{c}{**Paired Differences**} \\ \cline{5-8}  & & & **(km/h)** & **(km/h)** & **Mean** & **t** & \(p\)**-Value** \\ \hline \multirow{8}{*}{Right side and left side} & RS100 & 3.73 & 4.09 & \multirow{8}{*}{6.00} & \multirow{8}{*}{3.99} & \multirow{2}{*}{0.000 \({}^{*}\)} \\ \cline{2-2} \cline{5-8}  & LS100 & 9.73 & 9.18 & & & \\ \cline{2-2} \cline{5-8}  & RS120 & 2.83 & 3.22 & & & \\ \cline{2-2} \cline{5-8}  & LS120 & 7.66 & 6.54 & \multirow{2}{*}{4.83} & \multirow{2}{*}{3.65} & \multirow{2}{*}{0.001 \({}^{*}\)} \\ \cline{2-2} \cline{5-8}  & RS140 & 2.33 & 2.70 & & & \\ \cline{2-2} \cline{5-8}  & LS140 & 4.71 & 3.18 & & & \\ \hline \multirow{8}{*}{Right side} & RS100 & 3.73 & 4.09 & \multirow{8}{*}{0.90} & \multirow{8}{*}{1.02} & \multirow{8}{*}{0.316} \\ \cline{2-2} \cline{5-8}  & RS120 & 2.83 & 3.22 & & & \\ \cline{2-2} \cline{5-8}  & RS140 & 2.83 & 2.70 & & & \\ \cline{2-2} \cline{5-8}  & LS100 & 9.73 & 9.18 & & & \\ \cline{2-2} \cline{5-8}  & LS120 & 7.66 & 6.54 & \multirow{2}{*}{2.07} & \multirow{2}{*}{3.09} & \multirow{2}{*}{0.004 \({}^{*}\)} \\ \cline{2-2} \cline{5-8}  & LS120 & 4.71 & 3.18 & & & \\ \hline \multicolumn{8}{l}{\({}^{*}\)The mean difference is significant at the 0.05 level.} \\ \end{tabular}
\end{table} 
Table 1: The paired \(t\)-test results for \(S_{difference}\). \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Comparison Group**} & \multirow{2}{*}{**Scenarios**} & \multirow{2}{*}{**Mean (m/s\({}^{2}\))**} & \multirow{2}{*}{**S.D.**} & \multicolumn{3}{c}{**Paired Differences**} \\ \cline{5-8}  & & & **(m/s\({}^{2}\))** & **(m/s\({}^{2}\))** & **Mean** & **t** & \(p\)**-Value** \\ \hline \multirow{8}{*}{Right side and left side} & RS100 & 0.42 & 0.26 & \multirow{8}{*}{0.04} & \multirow{8}{*}{0.56} & \multirow{8}{*}{0.577} \\ \cline{2-2} \cline{5-8}  & LS100 & 0.68 & 0.43 & & & \\ \cline{2-2} \cline{5-8}  & RS120 & 0.46 & 0.24 & & & \\ \cline{2-2} \cline{5-8}  & LS120 & 0.50 & 0.30 & & & \\ \cline{2-2} \cline{5-8}  & RS140 & 0.39 & 0.21 & & & \\ \cline{2-2} \cline{5-8}  & LS140 & 0.37 & 0.22 & & & \\ \hline \multirow{8}{*}{Left side} & RS100 & 0.42 & 0.26 & \multirow{8}{*}{0.04} & \multirow{8}{*}{0.78} & \multirow{8}{*}{0.443} \\ \cline{2-2} \cline{5-8}  & RS120 & 0.46 & 0.24 & & & \\ \cline{2-2} \cline{5-8}  & RS120 & 0.46 & 0.24 & & & \\ \cline{2-2} \cline{5-8}  & RS140 & 0.39 & 0.21 & & & \\ \cline{2-2} \cline{5-8}  & LS100 & 0.68 & 0.43 & & & \\ \cline{2-2} \cline{5-8}  & LS120 & 0.50 & 0.30 & & & \\ \cline{2-2} \cline{5-8}  & LS120 & 0.50 & 0.30 & & & \\ \cline{2-2} \cline{5-8}  & LS140 & 0.37 & 0.22 & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The paired \(t\)-test results for \(a_{minic}\). Finally, Table 4 shows the paired \(t\)-test results for lane changing locations. According to the box plot of lane change points in Figure 6, in the LS scenarios for 100 m and 120 m lengths of acceleration lanes, subjects changed lanes about 12.9 m to 12.6 m earlier than in the RS scenarios, with statistical significance (\(p=0.018\), \(p=0.024\)). Participants in the LS140 changed lanes about 5.0 m earlier than in the RS140. However, there was no statistical significance (\(p=0.529\)). Also, it was not statistically significant for RS scenarios (\(p=0.542\), \(p=0.204\)), but the lane changing location for LS140 was statistically 16.6 m higher than for RS140 (\(p=0.012\)).