## 3 Results
### Connectivity Analysis
Statistics were calculated via ANOVA; the table displays F-value, \(p\)-value and first and second degree of freedom. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Source** & **Sink** & **Condition** & **Sound** & **Frequency** & **F-Value** & **df1** & **df2** & \(p\)**-Value** & \(p\)**Adj** \\ \hline Sl1 & PPCr & imagination & beep & alpha & 12.53 & 1 & 46.64 & 0.001 & 0.669 \\ Ml & PPCr & imagination & beep & alpha & 12.32 & 1 & 37.59 & 0.001 & 0.762 \\ Sl1 & MI & imagination & beep & alpha & 8.75 & 1 & 47.64 & 0.005 & 1 \\ SMAr & S1l & imagination & beep & alpha & 7.88 & 1 & 46.54 & 0.007 & 1 \\ PMCl & Ml & imagination & beep & alpha & 7.62 & 1 & 48.07 & 0.008 & 1 \\ \hline Slr & S1l & imagination & music & alpha & 20.9 & 1 & 39.44 & \textless{}0.001 & 0.137 \\ Sl1 & PPCr & imagination & music & alpha & 11.4 & 1 & 41.97 & 0.002 & 0.844 \\ Mr & S1l & imagination & music & alpha & 11.56 & 1 & 37.98 & 0.002 & 0.844 \\ Mr & SMAl & movement & music & alpha & 9.33 & 1 & 43.05 & 0.004 & 1 \\ \hline MI & S1r & imagination & music & beta & 19.09 & 1 & 39.96 & \textless{}0.001 & 0.167 \\ PMCl & S1r & imagination & music & beta & 15.74 & 1 & 42.47 & \textless{}0.001 & 0.283 \\ Sl1 & S1r & imagination & music & beta & 15.96 & 1 & 37.46 & \textless{}0.001 & 0.283 \\ S1l & MI & imagination & music & beta & 10.28 & 1 & 47.66 & 0.002 & 1 \\ PMCl & MI & imagination & music & beta & 10.21 & 1 & 39.41 & 0.003 & 1 \\ \hline
**S1l** & **MI** & **imagination** & **beep** & **beta** & **27.94** & **1** & **45.24** & \textless{}**0.001** & **0.02** \\ MI & MI & imagination & beep & beta & 16.58 & 1 & 47.56 & \textless{}0.001 & 0.254 \\ PMCl & MI & imagination & beep & beta & 14.59 & 1 & 45.59 & \textless{}0.001 & 0.334 \\ PMCr & Mr & movement & beep & beta & 10.49 & 1 & 39.49 & 0.002 & 1 \\ S1l & PMCr & movement & beep & beta & 8.24 & 1 & 45.87 & 0.006 & 1 \\ \hline \hline \end{tabular}  
M1 = primary motor cortex, S1 = primary somatosensory cortex, PMC = premotor cortex, SMA = supplementary motor area, PPC = posterior parietal cortex, r = right, l = left, df = number of degrees of freedom, \(p\) adj = \(p\)-value adjusted for multiple comparisons.  
\end{table} 
Table 3: All significant effects (\(p<\) 0.01, uncorrected) resulting from tests of the interaction between group and sport group. In the movement condition, only a few group interactions showed a \(p<0.01\) (uncorrected). In the beta range, the differences became evident during the beep condition and were negligible between sport groups for healthy controls, while in the SCI group the connectivity was stronger in the sportive group as compared to the non-sortive group. These effects were found over the right hemisphere and in interhemispheric connectivity (Figure 2a,b). In the alpha range, there was only one effect \(p<0.01\) (uncorrected), which was evident during music. The alpha connectivity showed the opposite pattern, where there was no difference between sport groups for SCI patients but higher activity in the non-sortive healthy group as compared to the sportive healthy group (Figure 3). Figure 1: Directed connectivity during the condition imagination, the sound beep, and the frequency beta from (**a**) S11 to M11, (**b**) PMC1 to M11, and (**c**) M11 to M11. SCI = spinal cord injury, RTE = relative treatment effect, MI = left primary motor cortex, S11 = left primary somatosensory cortex, PMC1 = left premotor cortex. Figure 2: Directed connectivity during the condition movement, the sound beep, and the frequency beta from (**a**) PMCr to M1r, and (**b**) S11 to PMCr. SCI = spinal cord injury, RTE = relative treatment effect, Mr = right primary motor cortex, S11 = left primary somatosensory cortex, PMCr = right premotor cortex. In the imagination conditions during beep and music, there were few relevant effects, one of them significant after correction for multiple comparisons (Figure 1a).