## 4 Experimentation
### Case Study: DxT to Evaluate Portugal's Last Offensive Sequence in Euro 2024 Quarter-Final  
In the previous case study, we demonstrated how DxT generates a threat map for each individual action, enabling the analysis of subtle tactical nuances such as flank switches. In this section, we shift our focus to another important aspect of DxT: its ability to support player decision-making analysis. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Index** & **Action Type** & **X Start** & **Y Start** & **X End** & **Y End** & **Players** & **xT Start** & **xT End** & **xT Value** \\ \hline
1 & Pass & 89.7 & 24.9 & 79.7 & 38.4 &
\begin{tabular}{c} [PERSON] \\ \end{tabular} & 0.1344 & 0.1341 & \(-\)0.0003 \\
2 & Carry & 79.7 & 38.4 & 79.4 & 48.8 &
\begin{tabular}{c} [PERSON] \\ [PERSON] \\ \end{tabular} & 0.1341 & 0.1348 & 0.0007 \\
3 & Pass & 79.4 & 48.8 & 92.3 & 73.8 &
\begin{tabular}{c} [PERSON] [PERSON] \\ \end{tabular} & 0.1348 & 0.1523 & 0.0175 \\
4 & Carry & 92.3 & 73.8 & 93.1 & 71.2 & [PERSON] & 0.1523 & 0.1523 & 0.0000 \\
5 & Pass & 93.1 & 71.2 & 111.4 & 42.7 & [PERSON] & 0.1523 & 0.2127 & 0.0604 \\
6 & Shot & 111.4 & 42.7 & 120 & 41.8 & [PERSON] & 0.2127 & 1 & 0.7873 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: xT Values of Actions from the Sequence Leading to Albania’s First Goal Against Croatia, Euro 2024. To illustrate this, we examine the actions taken by Portugal during the final offensive sequence of their Euro 2024 quarter-final match against France--a match that ended in a 0-0 draw and was ultimately decided by a penalty shootout, which Portugal lost. We analyze the final attacking sequence available to Portugal (see Figure 7) to assess whether alternative decisions by the players could have led to a more threatening outcome. The details of this sequence are provided in Table 4. In this section, we focus specifically on the final pass from [PERSON] to [PERSON], as well as the resulting shot by [PERSON]. This critical moment is illustrated in Figures 8 and 9, allowing us to assess whether a different decision at this stage could have resulted in a more favorable outcome for Portugal. Figures A5-A9 provide, for reference, the full breakdown of the preceding actions in the sequence. In Figure 8, [PERSON] was positioned in a grid cell with a DxT value of 0.0702 and was, therefore, expected to transition the ball toward a teammate located in a grid with a higher threat value. While several passing options were available, any chosen target had to lie in a zone that was not obstructed or at risk of interception by opposing players. In this context, the grid cell to which he ultimately passed the ball maximized the threat while minimizing risk, thus illustrating a sound decision-making process by [PERSON]. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Index** & \begin{tabular}{c} **Action** \\ **Type** \\ \end{tabular} & **X Start** & **Y Start** & **X End** & **Y End** & **Players** & \begin{tabular}{c} **DxT** \\ **Start** \\ \end{tabular} & \
\begin{tabular}{c} **DxT** \\ **End** \\ \end{tabular} &
\begin{tabular}{c} **DxT** \\ **Value** \\ \end{tabular} \\ \hline
1 & Carry & 56.5 & 9.8 & 64.1 & 13.1 & [PERSON] & 0.0660 & 0.0667 & 0.0007 \\
2 & Carry & 64.1 & 13.1 & 73.5 & 21.6 & [PERSON] & 0.0507 & 0.0509 & 0.0002 \\
3 & Pass & 73.5 & 21.6 & 94.7 & 55.2 & [PERSON] & 0.0798 & 0.0790 & \(-\)0.0007 \\
4 & Carry & 94.7 & 55.2 & 103.6 & 53.4 & [PERSON] & 0.0532 & 0.0616 & 0.0083 \\
5 & Carry & 103.6 & 53.4 & 104.2 & 51.2 & [PERSON] & 0.0870 & 0.0870 & 0.0000 \\
6 & Pass & 104.2 & 51.2 & 103.1 & 38.3 & [PERSON] & 0.0702 & 0.0797 & 0.0009 \\
7 & Shot & 103.1 & 38.3 & 118.2 & 39.0 & [PERSON] & 0.0629 & 0.1147 & 0.0518 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: DxT Values of Actions from Final Offensive Sequence: Portugal vs. France, UEFA Euro 2024 Quarter-Final. Figure 7: Final Offensive Sequence: Portugal vs. France, UEFA Euro 2024 Quarter-Final. Upon receiving the ball, [PERSON] decided to shoot toward the left side of the goal (Figure 9).