# Study of Force Changes Based on Orthotic Elements Under the First Ray
## 3 Results
The Friedman test was applied to compare the medio-lateral (Fx), antero-posterior (Fy), and vertical (Fz) forces across the seven orthotic interventions, assessing the variations during the mid-stance and propulsion phases. The results showed significant differences in Fx during propulsion (\(p\) = 0.032) and in Fy during mid-stance (\(p\) = 0.004 and 0.015 for G1 and L1, respectively) (Table 6). \begin{table}
\begin{tabular}{l c c c c c c c c} \hline \multicolumn{2}{c}{**Fx**} & \multicolumn{2}{c}{**Age**} & \multicolumn{2}{c}{**BMI**} & \multicolumn{2}{c}{**Shoe Size**} & \multicolumn{2}{c}{**FPI**} \\ \hline  & & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) \\ \hline \multirow{3}{*}{B} & L1 & 0.248 & 0.265 [2] & 0.162 & 0.470 [1] & \(-\)0.028 & 0.900 [1] & \(-\)0.563 & 0.006 [1] \\ \cline{2-8}  & L2 & 0.086 & 0.704 [2] & 0.136 & 0.547 [2] & 0.056 & 0.806 [2] & \(-\)0.608 & 0.003 [1] \\ \hline C & L2 & \(-\)0.028 & 0.902 [2] & 0.029 & 0.897 [2] & 0.108 & 0.633 [1] & \(-\)0.436 & 0.043 [1] \\ \hline D & L2 & 0.108 & 0.633 [2] & \(-\)0.022 & 0.924 [2] & \(-\)0.072 & 0.751 [1] & \(-\)0.489 & 0.021 [1] \\ \hline \multirow{3}{*}{E} & L1 & 0.146 & 0.516 [2] & \(-\)0.022 & 0.921 [2] & \(-\)0.049 & 0.829 [1] & \(-\)0.444 & 0.039 [1] \\ \cline{2-8}  & L2 & 0.130 & 0.565 [2] & 0.084 & 0.709 [2] & 0.155 & 0.491 [2] & \(-\)0.475 & 0.026 [2] \\ \hline \multirow{3}{*}{F} & L2 & 0.024 & 0.914 [2] & 0.029 & 0.897 [2] & \(-\)0.018 & 0.936 [1] & \(-\)0.526 & 0.012 [1] \\ \cline{2-8}  & \multicolumn{2}{c}{**Fy**} & \multicolumn{2}{c}{**Age**} & \multicolumn{2}{c}{**BMI**} & \multicolumn{2}{c}{**Shoe Size**} & \multicolumn{2}{c}{**FPI**} \\ \hline  & & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) \\ \hline B & G1 & \(-\)0.093 & 0.679 [2] & \(-\)0.380 & 0.081 [1] & \(-\)0.024 & 0.914 [1] & 0.570 & 0.006 [1] \\ \hline E & L2 & 0.463 & 0.030 [2] & 0.223 & 0.318 [2] & \(-\)0.265 & 0.234 [2] & \(-\)0.346 & 0.115 [2] \\ \hline \multicolumn{2}{c}{**Fz**} & \multicolumn{2}{c}{**Age**} & \multicolumn{2}{c}{**BMI**} & \multicolumn{2}{c}{**Shoe Size**} & \multicolumn{2}{c}{**FPI**} \\ \hline  & & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) & **r** & \(\mathbf{p}\) \\ \hline \multirow{3}{*}{WFO} & G2 & \(-\)0.383 & 0.078 [2] & \(-\)0.523 & 0.012 [2] & \(-\)0.239 & 0.284 [2] & 0.178 & 0.428 [2] \\ \cline{2-8}  & L2 & \(-\)0.157 & 0.485 [2] & \(-\)0.492 & 0.020 [2] & \(-\)0.323 & 0.143 [2] & \(-\)0.065 & 0.775 [2] \\ \hline \multirow{3}{*}{B} & G1 & \(-\)0.034 & 0.880 [2] & \(-\)0.477 & 0.025 [1] & 0.007 & 0.974 [1] & 0.580 & 0.005 [1] \\ \cline{2-8}  & G2 & 0.112 & 0.619 [2] & \(-\)0.295 & 0.183 [2] & \(-\)0.179 & 0.425 [2] & 0.426 & 0.048 [2] \\ \cline{2-8}  & L2 & 0.259 & 0.245 [2] & \(-\)0.190 & 0.397 [2] & \(-\)0.458 & 0.032 [2] & 0.003 & 0.991 [2] \\ \hline E & L1 & \(-\)0.285 & 0.199 [2] & \(-\)0.086 & 0.7042 & \(-\)0.123 & 0.586 [2] & 0.436 & 0.043 [2] \\ \hline F & L2 & \(-\)0.117 & 0.603 [2] & \(-\)0.508 & 0.016 [2] & \(-\)0.457 & 0.033 [2] & 0.053 & 0.816 [2] \\ \hline \end{tabular}
\end{table} 
Table 4: Correlations between medio-lateral (Fx), vertical (Fz), and antero-posterior (Fy) axis ground reaction forces and descriptive variables across different orthotic conditions and gait phases.