## 3 Results and Discussions
### Lateral Position
\begin{table}
\begin{tabular}{c c c c c} \hline
**Effect** & \(\mathbf{df}\) & \(\mathbf{F}\) & \(\mathbf{p}\) & \(\mathbf{\eta^{2}p}\) \\ \hline Curve direction & (1.00, 46.00) & 15.885 & **<0.001 \({}^{*}\)** & 0.257 \\ Curve radius & (1.00, 46.00) & 9.280 & **0.004** & 0.168 \\ Condition & (2.99, 137.96) & 16.800 & **<0.001** & 0.268 \\ Measuring points & (2.85, 130.92) & 5.345 & **0.002** & 0.104 \\ Curve direction \(\times\) Curve radius & (1.00, 46.00) & 57.411 & **<0.001** & 0.555 \\ Curve direction \(\times\) Condition & (3.41, 156.95) & 1.120 & 0.346 & 0.024 \\ Curve radius \(\times\) Condition & (3.56, 163.55) & 3.936 & **0.006** & 0.079 \\ Curve direction \(\times\) Curve radius \(\times\) Condition & (3.41, 156.77) & 2.800 & **0.035** & 0.057 \\ Curve direction \(\times\) Measuring points & (2.59, 118.93) & 62.929 & **<0.001** & 0.578 \\ Curve radius \(\times\) Measuring points & (3.63, 166.75) & 6.407 & **<0.001** & 0.122 \\ Curve direction \(\times\) Curve radius \(\times\) Measuring points & (2.39, 110.01) & 27.452 & **<0.001** & 0.374 \\ Condition \(\times\) Measuring points & (10.52, 483.83) & 13.111 & **<0.001** & 0.222 \\ Curve direction \(\times\) Condition \(\times\) Measuring points & (12.21, 561.47) & 5.678 & **<0.001** & 0.110 \\ Curve radius \(\times\) Condition \(\times\) Measuring points & (11.35, 521.98) & 1.173 & 0.302 & 0.025 \\ \hline \end{tabular} \({}^{*}\)Bolded values are statistically significant at the \(p\) < 0.05 level.  
\end{table} 
Table 6: Analysis of lateral position: within-subjects repeated measures ANOVA with Greenhouse-Geisser correction. \begin{table}
\begin{tabular}{c c c c c c} \hline
**Condition** & **Control** & **RWE** & **RE** & **RWM** & **RDT** \\ \hline Mean lateral position (m) & 1.99 & 1.98 & 1.95 & 2.05 & 1.98 \\ \hline Pairwise comparison (\(p\)-values) & & & & & \\ \hline Control & 1 & 1 & **<0.001 \({}^{*}\)** & **<0.001** & 1 \\ RWE & & 1 & **<0.001** & **<0.001** & 1 \\ RE & & & 1 & **<0.001** & **<0.001** \\ RWM & & & & 1 & **<0.001** \\ RDT & & & & & 1 \\ \hline \end{tabular} \({}^{*}\)Bolded values are statistically significant at the \(p\) < 0.05 level.  
\end{table} 
Table 7: Descriptive statistics: mean and pairwise comparison of lateral position with Bonferroni correction. during the horizontal curve. The vertical axis indicates the distance between the vehicle's center and the road's centerline on the right lane side. A greater lateral position implies that the car is farther from the centerline and closer to the road's edge. As shown in Figure 10a, on the left curve, the lateral position initially moves towards the right side of the lane at the beginning of the entry transition curve (point 3), then leans towards the midpoint of the circular curve (point 5). Conversely, on a right curve, the lateral position is the opposite of the left curve, being closer to the centerline at the start of the curve and leaning toward the edge road marking at the exit of the curve. Furthermore, Figure 10b illustrates the average lateral position for various curve radii at each measuring point. It shows that the lateral position for both radii fluctuates between 1.95 m and 2.05 m. Specifically, the lateral position on the smaller curve tends to be closer to the road's centerline. Particularly at the end of the circular curve (point 6), there is almost a 0.09 m difference between the lateral positions, where the lateral position for the larger curve radius was 2.04 m and for the smaller curve radius was 1.95 m.  
Figure 11 demonstrates the average lateral position at each measuring point under various conditions. It indicates that 150 m prior to the curve (point 1), the drivers change their lateral position gradually, and at the beginning of the entry transition curve (point 3), RWM and RDT conditions induce a movement further away from the median in comparison with the other conditions, with lateral positions of 2.06 m and 1.95 m, respectively.