## 3 Results
### Connectivity Analysis  
There were several significant interactions between group and sport group (see Table 2), which depended on the location (sink/source) but also the frequency and the condition. These significant interactions indicated that depending on being sportive or not, patients with SCI and controls yielded different activation patterns depending on the conditions, the location in the brain as well as the measured frequency range. Moreover, two of these interactions included the factor sound, indicating that sportive participants reacted differently to music vs. beep sounds as compared to non-sportive participants. To determine the direction of effect and which frequency range and location were most responsive to this interaction, we tested for a significant interaction between group and sport group for each frequency band (2), each condition (2), both sounds (2), and each regional interaction (100). Since such extensive multiple testing was unlikely to survive any correction for multiple comparisons, we reported both corrected and uncorrected results, but limited ourselves to interpreting results that were significant at \(p\) < 0.01, uncorrected (Table 3). \begin{table}
\begin{tabular}{c c c c c c c c} \hline  & **w/m** & **Age** & **Traumatic/Non-t** & **ASIA Score** & **Lesion** & **Complete/Incomplete** & **Age of Injury** & **Group** \\ \hline
1 & w & 62 & NT & B & Th10 & C & 5 m & PNS \\  
& 30 & T & A & L5 & C & 10 y & PS \\ \hline \end{tabular}  
* T = traumatic injury, NT = non-traumatic injury, C = complete SCI, IC = incomplete SCI, Cr = cervical, Thr = thoracic, Lx = lumbar, PNS = patients who are not practicing sports, PS = patients who practice sports, y = years, m = months.  
\end{table} 
Table 1: Overview of individual patients including age, lesion characteristics, ASIA score, and group. Due to the high number of comparisons, only one of the corrected \(p\)-values was significant. Figure 1a shows the significant interaction. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Test Statistic** & **df1** & **df2** & \(p\)**-Value** \\ \hline frequency & 5.383 & 1 & Inf & 0.02 \\ source & 2.749 & 4.17 & Inf & 0.025 \\ frequency \(\times\) source & 3.811 & 4.27 & Inf & 0.003 \\ sink & 7.752 & 5.789 & Inf & \textless{}0.001 \\ frequency \(\times\) sink & 5.726 & 6.869 & Inf & \textless{}0.001 \\ source \(\times\) sink & 11.349 & 9.69 & Inf & \textless{}0.001 \\ condition & 4.451 & 1 & Inf & 0.035 \\ frequency \(\times\) source \(\times\) condition & 2.534 & 4.099 & Inf & 0.037 \\ source \(\times\) condition & 3.225 & 3.756 & Inf & 0.014 \\ sink \(\times\) condition & 2.083 & 6.312 & Inf & 0.048 \\ frequency \(\times\) sink \(\times\) condition & 11.02 & 4.567 & Inf & \textless{}0.001 \\ source \(\times\) sink \(\times\) condition & 8.443 & 5.758 & Inf & \textless{}0.001 \\ source \(\times\) sink \(\times\) condition & 11.573 & 10.718 & Inf & \textless{}0.001 \\ frequency \(\times\) source \(\times\) sink \(\times\) condition & 2.899 & 10.922 & Inf & 0.001 \\ group \(\times\) sport group \(\times\) frequency \(\times\) sound & **4.582** & **1** & **Inf** & **0.032** \\ frequency \(\times\) condition & 13.432 & 1 & Inf & \textless{}0.001 \\ group \(\times\) sport group \(\times\) sink \(\times\) condition & **2.872** & **4.567** & **Inf** & **0.017** \\ group \(\times\) sport group \(\times\) frequency \(\times\) sink \(\times\) condition & **2.288** & **5.758** & **Inf** & **0.035** \\ group \(\times\) sport group \(\times\) source \(\times\) condition & **2.454** & **3.756** & **Inf** & **0.047** \\ group \(\times\) sport group \(\times\) source \(\times\) sink \(\times\) sound & **1.844** & **12.54** & **Inf** & **0.033** \\ \hline \multicolumn{5}{c}{Df = number of degrees of freedom, Inf = infinite. Effects relevant for the hypotheses of this manuscript are highlighted in bold font.} \\ \end{tabular}
\end{table} 
Table 2: The table shows all effects of frequency, source, sink, condition, group, and sport group with a \(p\)-value \(<\) 0.05.