## 3 Results
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**LyE\({}_{\text{g}}\)**} & \multicolumn{2}{c}{**DFA**} & \multicolumn{2}{c}{**ApEn**} \\ \hline \multicolumn{2}{c}{**Coefficient of**} & \multicolumn{4}{c}{0.72} & \multicolumn{4}{c}{0.63} & \multicolumn{4}{c}{0.46} \\
**Determination (R\({}^{2}\)\({}_{\text{MLR}}\))** & & & & & & & \\ \hline
**Variable** & **Estimate** & **SE (W/Kg)** & \(p\)**-value** & **Estimate** & **SE (W/Kg)** & \(p\)**-value** & **Estimate** & **SE (W/Kg)** & \(p\)**-value** \\ \hline \(\beta\)0 (Intercept) & \(-\)0.0557 & 0.0284 & 0.0530 & 0.3161 & 0.1885 & 0.0966 & **0.1504** & **0.0337** & **<0.0001** \\ \(\beta\)1 (Hip angle) & \(-\)0.3943 & 0.6463 & 0.5431 & \(-\)0.0554 & 0.0760 & 0.4676 & \(-\)0.0182 & 0.1552 & 0.9071 \\ \(\beta\)2 (Hip velocity) & **1.2900** & **0.3324** & **0.0002** & \(-\)0.1441 & 0.0777 & 0.0665 & \(-\)0.1028 & 0.0956 \begin{table}
\begin{tabular}{l c c c c c c c c c c c c c c} \hline \hline
**Summary of** & \multicolumn{1}{c}{**Hip Angle**} & \multicolumn{1}{c}{**Hip Angle**} & \multicolumn{1}{c}{**Hip**} & \multicolumn{1}{c}{**Hip**} & \multicolumn{1}{c}{**Knee Angle Angle**} & \multicolumn{1}{c}{**Knee**} & \multicolumn{1}{c}{**Knee**} & \multicolumn{1}{c}{**Knee**} & \multicolumn{1}{c}{**Knee**} & \multicolumn{1}{c}{**Knee**} & \multicolumn{1}{c}{**Aakle**} & \multicolumn{1}{c}{**Avale**} & \multicolumn{1}{c}{**Avale**} & \multicolumn{1}{c}{**Gex Ver**} & \multicolumn{1}{c}{**Gex GF Ver**} & \multicolumn{1}{c}{**Gex GF Ver**} & \multicolumn{1}{c}{**Gex GF Ver**} & \multicolumn{1}{c}{**Gex VG Ver**} \\
**Figure 2** & **Hip Angle** & **Velocity** & **Moment** & **Knee Angle** & **Velocity** & **Moment** & **Angle** & **Velocity** & **Moment** & **Gex Ver** & **Gex GF Ver** & **Gex GF Ver** & **Gex VG Ver** \\ \hline
**LyEa** & 0.049 & 0.038 & 0.038 & 0.038 & 0.034 & 0.022 & 0.025 & 0.037 & 0.020 & 0.060 & 0.060 & 0.271 & 0.099 & -0.001 & -0.003 \\
**DFA** & 0.780 & 0.671 & 0.684 & 0.653 & 0.515 & 0.621 & 0.656 & 0.446 & 0.677 & 0.691 & 0.635 & 0.553 & 0.044 \\
**Apfa** & 0.240 & 0.269 & 0.346 & 0.250 & 0.348 & 0.369 & 0.282 & 0.390 & 0.233 & 0.227 & 0.222 & 0.319 & 0.289 \\
**CD** & 1.733 & 0.338 & 1.843 & 1.754 & 1.781 & 1.774 & 1.794 & 1.861 & 1.201 & 0.075 & 0.292 & 1.883 & 1.888 \\
**Spfa** & 0.154 & 0.216 & 0.242 & 0.191 & 0.287 & 0.268 & 0.224 & 0.301 & 0.103 & 0.125 & 0.113 & 0.321 & 0.284 \\
**LyEa** & 0.745 & 1.028 & 1.669 & 0.792 & 0.883 & 1.765 & 1.004 & 1.193 & 2.068 & 1.570 & 1.233 & 0.712 & 0.973 \\ \hline
**Error net** & 15.807 & 10.573 & 6.931 & 6.288 & 8.031 & 6.538 & 8.212 & 7.432 & 12.102 & 14.650 & 10.329 & 5.975 & 5.834 \\
**LyEa** (As) & 25.801 & 28.755 & 26.493 & 10.430 & 29.352 & 12.471 & 15.335 & 15.122 & 27.540 & 49.067 & 34.960 & 10.521 & 51.333 \\
**Ea** (As) & 19.973 & 14.893 & 14.883 & 13.192 & 41.522 & 13.961 & 11.535 & 24.361 & 15.188 & 17.604 & 18.660 & 28.751 & 29.306 \\
**Error net** & 15.519 & 11.798 & 16.745 & 13.275 & 13.911 & 19.324 & 14.212 & 12.957 & 38.107 & 12.112 & 21.554 & 13.397 & 16.126 \\
**Ea** (As) & 11.004 & 9.863 & 11.091 & 10.866 & 16.947 & 12.213 & 10.098 & 19.340 & 13.541 & 33.525 & 17.096 & 13.524 & 15.305 \\
**LyEa** (As) & 17.692 & 17.827 & 17.737 & 16.972 & 17.765 & 16.866 & 17.881 & 24.799 & 17.537 & 17.664 & 18.495 & 17.989 & 18.625 \\ \hline
**Mean error** & 17.648 & 15.802 & 15.647 & 11.837 & 21.255 & 13.566 & 12.029 & 17.335 & 20.666 & 24.104 & 20.182 & 14.693 & 22.755 \\
**Nes** (As) & & 16.252 & & & 15.853 & & & 16.960 & & & 22.143 & & 18.724 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Summary of nonlinear gait parameters and ANN prediction errors. This table compares the mean of nonlinear measures across various gait parameters, including hip, knee, and ankle angles, velocities, moments, ground reaction forces (GRFs), and center of mass (COM) dynamics.