# Evolution of Performance Indicators in Soccer during the Last Decade
## 3 Results
In the covidtime-venue interaction, on-goal shots and attacks had a high observed power (0.5-0.8), with the rest of the indicators having a very high observed power (>0.8). In the covidtime-result interaction, the variables of possession, off-goal shots, dangerous attacks and total passes had very high observed power (>0.8). In the venue-result interaction, the variables of yellow card and offsets had a high observed power (0.5-0.8), while for free kicks and fouls committed it was very high (>0.8). Table 6 presents the results of the autocorrelations of the PIs, showing significant differences in 13 of them, but not in 2. Figure 2 presents the significant differences existing in the performance indicators over the different seasons. Yellow and red cards, total, on-goal and off-goal shots, free kicks, corners, saves, attacks, dangerous attacks, total passes and tackles have a low autocorrelation, while possession has a high autocorrelation [26]. The means for yellow and \begin{table}
\begin{tabular}{c c c c} \hline \hline  & **Autocorrelation** & **Box-Ljung** & \(\boldsymbol{p}\) \\ \hline Yellow cards & 0.093 & 45.681 & \textless{}0.001 \\ Red cards & 0.048 & 12.257 & \textless{}0.001 \\ Possession & \(-0.500\) & 1329.638 & \textless{}0.001 \\ Total shots & \(-0.190\) & 192.706 & \textless{}0.001 \\ On-goal shots & \(-0.083\) & 36.683 & \textless{}0.001 \\ Off-goal shots & \(-0.162\) & 139.625 & \textless{}0.001 \\ Free kicks & 0.066 & 23.532 & \textless{}0.001 \\ Corners & \(-0.162\) & 139.368 & \textless{}0.001 \\ Offsides & \(-0.008\) & 0.307 & 0.580 \\ Saves & \(-0.048\) & 12.359 & \textless{}0.001 \\ Fouls committed & \(-0.002\) & 0.015 & 0.903 \\ Attacks & \(-0.055\) & 9.143 & 0.002 \\ Dangerous attacks & \(-0.130\) & 51.305 & \textless{}0.001 \\ Total passes & \(-0.243\) & 134.590 & \textless{}0.001 \\ Tackles & 0.184 & 77.282 & \textless{}0.001 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Autocorrelation of the PIs. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Game Indicators** & \(\boldsymbol{p}\) & **np2** & **Observed Power** & \(\boldsymbol{F}\) \\ \hline \multirow{6}{*}{**Covidtime–Venue**} & Total shots & \textless{}0.001 & 0.009 & 0.984 & 9.830 \\  & On-goal shots & 0.016 & 0.004 & 0.733 & 4.139 \\  & Off-goal shots & \textless{}0.001 & 0.007 & 0.958 & 8.073 \\  & Corners & \textless{}0.001 & 0.013 & 0.999 & 15.246 \\  & Saves & 0.004 & 0.005 & 0.850 & 5.464 \\  & Attacks & 0.044 & 0.003 & 0.601 & 3.118 \\  & Dangerous attacks & \textless{}0.001 & 0.016 & 1.000 & 18.627 \\ \hline \multirow{6}{*}{**Covidtime–Result**} & Possession & 0.001 & 0.008 & 0.940 & 4.457 \\  & Off-goal shots & 0.015 & 0.005 & 0.815 & 3.093 \\ \cline{1-1}  & Dangerous attacks & 0.012 & 0.006 & 0.834 & 3.237 \\ \cline{1-1}  & Total passes & 0.013 & 0.006 & 0.827 & 3.179 \\ \hline \multirow{6}{*}{**Venue–Result**} & Yellow cards & 0.013 & 0.004 & 0.756 & 4.360 \\ \cline{1-1}  & Free kicks & \textless{}0.001 & 0.007 & 0.956 & 7.997 \\ \cline{1-1}  & Offsides & 0.023 & 0.003 & 0.692 & 3.790 \\ \cline{1-1}  & Fouls committed & 0.008 & 0.004 & 0.804 & 4.870 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Inferential results of the independent variables and game indicators. red cards, free kicks and tackles increase as the seasons advance, as they have a positive autocorrelation; while in contrast, possession, total, on-goal and off-goal shots, corners, saves, attacks, dangerous attacks, and total passes have a negative autocorrelation, which indicates that their means decrease over the seasons.