## 3 Results
\begin{table}
\begin{tabular}{l c c c c c c c c c c c} \hline \hline  & & \multicolumn{6}{c}{**Traditional Definition (\_B)**} & \multicolumn{6}{c}{**Adapted Definition**} \\ \hline
**PT** & **Condition** & \multicolumn{2}{c}{**Total Time**} & \multicolumn{2}{c}{**Smoothness**} & \multicolumn{2}{c}{**Fluency**} & \multicolumn{2}{c}{**Velocity RMS**} & \multicolumn{2}{c}{**Smoothness**} & \multicolumn{2}{c}{**Fluency**} & \multicolumn{2}{c}{**Velocity RMS**} & \multicolumn{2}{c}{**Jerk RMS**} & \multicolumn{2}{c}{**Max Jerk Variation**} \\  & & **TT [s]** & \(\mathbf{J_{B}}\) [m]** & \(\mathbf{F_{B}}\) [m]** & \(\mathbf{RMSE_{G,B}}\) [degs] & \(\mathbf{J}\) [m/s] & \(\mathbf{F1}\) [m/s] & \(\mathbf{RMSE_{G}}\) [degs] & \(\mathbf{RMSE_{S}}\) [m/s] & \(\mathbf{J_{B}}\) [m/s] \\ \hline Roll & Healthy & \(6.69\pm 0.83\) & \(14.41\pm 0.42\) & \(9.53\pm 0.32\) & \(52.14\pm 14.04\) & \(987.90\pm 298.64\) & \(49.60\pm 14.25\) & \(52.12\pm 15.03\) & \(7.13\pm 2.37\) & \(99.02\pm 28.85\) \\  & Pathological & \(13.38\pm 3.74\) & \(15.98\pm 1.11\) & \(10.49\pm 0.80\) & \(63.72\pm 128.14\) & \(643.77\pm 26.08\) & \(31.37\pm 14.44\) & \(63.07\pm 128.46\) & \(4.60\pm 204.4\) & \(4.22\pm 16.65\) \\ \hline St6 Si & Healthy & \(3.48\pm 0.42\) & \(118.04\pm 0.48\) & \(7.79\pm 0.36\) & \(60.71\pm 20.16\) & \(1025.82\pm 188.64\) & \(65.28\pm 18.92\) & \(60.67\pm 20.15\) & \(7.40\pm 2.31\) & \(46.31\pm 16.41\) \\  & Pathological & \(5.26\pm 1.39\) & \(13.05\pm 1.03\) & \(8.58\pm 0.79\) & \(75.67\pm 23.08\) & \(779.13\pm 312.50\) & \(45.48\pm 19.46\) & \(75.63\pm 23.07\) & \(5.48\pm 2.47\) & \(38.75\pm 20.93\) \\ \hline SR5u & Healthy & \(3.14\pm 0.42\) & \(118.04\pm 0.60\) & \(7.73\pm 0.46\) & \(60.46\pm 35.79\) & \(154.46\pm 36.84\) & \(81.05\pm 20.65\) & \(64.04\pm 357.20\) & \(14.39\pm 39.6\) & \(92.55\pm 39.77\) \\  & Pathological & \(4.58\pm 1.57\) & \(12.68\pm 1.01\) & \(8.32\pm 0.72\) & \(60.00\pm 14.42\) & \(909.67\pm 46.15\) & \(55.19\pm 24.62\) & \(60.00\pm 14.41\) & \(7.63\pm 39.86\) & \(60.06\pm 36.40\) \\ \hline SRI & Healthy & \(3.16\pm 0.18\) & \(11.51\pm 0.33\) & \(8.02\pm 0.32\) & \(87.40\pm 34.41\) & \(1054.39\pm 263.78\) & \(101.59\pm 29.36\) & \(87.33\pm 34.38\) & \(8.75\pm 25.99\) & \(54.17\pm 17.77\) \\  & Pathological & \(3.44\pm 0.69\) & \(11.55\pm 0.63\) & \(7.73\pm 0.50\) & \(103.10\pm 31.98\) & \(855.32\pm 233.88\) & \(64.74\pm 23.04\) & \(103.03\pm 31.96\) & \(6.66\pm 23.37\) & \(42.69\pm 17.85\) \\ \hline SRI & Healthy & \(3.01\pm 2.29\) & \(11.26\pm 0.43\) & \(7.67\pm 0.33\) & \(86.30\pm 30.38\) & \(1018.24\pm 276.98\) & \(82.19\pm 18.95\) & \(86.03\pm 30.38\) & \(8.28\pm 29.96\) & \(53.87\pm 26.69\) \\  & Pathological & \(3.62\pm 0.89\) & \(11.62\pm 0.85\) & \(7.62\pm 0.60\) & \(104.80\pm 48.24\) & \(797.66\pm 244.94\) & \(51.42\pm 16.34\) & \(105.12\pm 48.74\) & \(6.71\pm 23.33\) & \(51.19\pm 22.45\) \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Values (mean \(\pm\) standard deviation) of functional parameters in the healthy and pathological populations of all considered PIs. Figure 2: Distributions of the evaluated parameters (by columns) in the healthy and pathological samples for the five evaluated PTS by rows). In the statistical analysis, the comparison between healthy and pathological subjects’ differences produced misclassuous results. Significant differences in task total time \(TT\) were retrieved for all PTS except for SSt (\(p=0.376\)), and only for Roll all the parameters were significantly different between the healthy and pathological populations. The differences between the two populations are reported for both methods and all PTS in Table 5.  
The correlation matrix between the parameters in the two populations showed differences between the two methods considered. In particular, the method proposed by [PERSON] et al.