## Appendix A Appendix A
### Correlation Analyses  
In the following tables, the values of Spearman's Rho correlation of each functional parameter among the healthy (Tables A1, A3, A5, A7 and A9) and pathological (Tables A4, A6, A8 and A10) populations are shown for each analyzed PT. In all the tables, the cells are colored according to the convention presented in Table 2 for the correlation strength, according to which values up to 0.199 are very weak, from 0.200 to 0.399 are weak, from 0.400 to 0.599 are moderate, and then strong for values between 0.600 and 0.799 and very strong beyond 0.800. In the tables, the first column of functional parameters is intended as the \(J_{B}\), \(Fl_{B}\), and \(RMS_{G\_B}\) values for the three columns of parameters evaluated with [PERSON] et al. 's approach (traditional definition) and with the new methodology (adopted definition) for the remaining ones. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline
**StSi, P** & \multicolumn{3}{c}{**Traditional Definition (_B_)**} & \multicolumn{3}{c}{**Adopted Definition**} \\
**Functional Parameter** & \(J_{B}\) & \(Fl_{B}\) & \(RMS_{G,B}\) & \(J\) & \(Fl\) & \(RMS_{G}\) & \(RMS_{j}\) & \(\Delta j\) \\ \hline Total Time \(TT\) & 0.628 & 0.533 & 0.393 & \(-0.065\) & \(-0.020\) & 0.393 & \(-0.073\) & \(-0.101\) \\ \hline Smoothness & 1000 & 0.967 & 0.439 & 0.000 & 0.938 & 0.180 & 0.995 & 0.940 \\ \hline Fluency & 1.1000 & 0.379 & & 1.000 & 0.242 & 0.556 & 0.875 \\ \hline Velocity RMS & & 1.100 & & & 1.000 & 0.161 & 0.235 \\ \hline Jerk RMS \(RMS_{j}\) & & & & & 1.000 & 0.946 \\ \hline Max Jerk Variation \(\Delta j\) & & & & & & 1.000 \\ \hline \end{tabular}
\end{table} 
Table 4: Values of Spearman’s Rho correlation of each functional parameter: pathological population, supine-to-sit PT. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline
**SiSt, P** & \multicolumn{3}{c}{**Traditional Definition (_B_)**} & \multicolumn{3}{c}{**Adopted Definition**} \\
**Functional Parameter** & \(J_{B}\) & \(Fl_{B}\) & \(RMS_{G,B}\) & \(J\) & \(Fl\) & \(RMS_{G}\) & \(RMS_{j}\) & \(\Delta j\) \\ \hline Total Time \(TT\) & 0.764 & 0.505 & 0.269 & \(-0.115\) & \(-0.313\) & 0.269 & -0.088 & 0.088 \\ \hline Smoothness & 1000 & 0.885 & 0.066 & 1.000 & 0.896 & \(-0.379\) & 0.967 & 0.868 \\ \hline Fluency & 1.1000 & 0.055 & & 1.000 & \(-0.308\) & 0.223 & 0.824 \\ \hline Velocity RMS & & 1.000 & & & 1.000 & \(-0.291\) & \(-0.209\) \\ \hline Jerk RMS \(RMS_{j}\) & & & & & 1.000 & 0.934 \\ \hline Max Jerk Variation \(\Delta j\) & & & & & & 1.000 & 0.934 \\ \hline \end{tabular}
\end{table} 
Table 5: Values of Spearman’s Rho correlation of each functional parameter: healthy population, sit-to-supine PT. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline
**SiSt, H** & \multicolumn{3}{c}{**Traditional Definition (_B_)**} & \multicolumn{3}{c}{**Adopted Definition**} \\
**Functional Parameter** & \(J_{B}\) & \(Fl_{B}\) & \(RMS_{G,B}\) & \(J\) & \(Fl\) & \(RMS_{G}\) & \(RMS_{j}\) & \(\Delta j\) \\ \hline Total Time \(TT\) & 0.628 & 0.533 & 0.393 & \(-0.065\) & \(-0.020\) & 0.393 & \(-0.073\) & \(-0.101\) \\ \hline Smoothness & 1000 & 0.967 & 0.439 & & 0.000 & 0.938 & 0.180 & 0.995 & 0.940 \\ \hline Fluency & & 1.1000 & 0.379 & & 1.000 & 0.242 & 0.556 & 0.875 \\ \hline Velocity RMS & & & 1.100 & & & 1.000 & 0.161 & 0.235 \\ \hline Jerk RMS \(RMS_{j}\) & & & & & & 1.000 & 0.946 \\ \hline Max Jerk Variation \(\Delta j\) & & & & & & & 1.000 \\ \hline \end{tabular}
\end{table} 
Table 3: Values of Spearman’s Rho correlation of each functional parameter: healthy population, supine-to-sit PT.