## 4 Results
### Quantitative Data Analysis
#### 4.2.1 Execution Time
\begin{table}
\begin{tabular}{l c c c c c c c c c c} \hline
**Sublevel** & **M** & **C** & **\(\sigma\)** & **min** & **max** & **R** & **Q1** & **Q3** & **IQR** & **S** & **K** \\ \hline Without distractors & 31.35 & 21.54 & 29.59 & 3.02 & 156.12 & 153.10 & 12.14 & 36.00 & 23.86 & 2.13 & 5.52 \\ With distractors & 42.80 & 25.86 & 37.98 & 4.24 & 171.99 & 167.76 & 17.39 & 62.21 & 44.82 & 1.54 & 2.20 \\ \hline \end{tabular}
\end{table} 
Table 4: Statistical analysis of the time needed to complete tasks on sublevels of the second level. \begin{table}
\begin{tabular}{l c c c c c c c c c c} \hline
**Sublevel** & **M** & **C** & **\(\sigma\)** & **min** & **max** & **R** & **Q1** & **Q3** & **IQR** & **S** & **K** \\ \hline Basic & 42.57 & 34.22 & 28.48 & 10.52 & 153.25 & 142.74 & 22.74 & 56.49 & 33.75 & 1.64 & 3.59 \\ Enlarged objects & 39.13 & 33.69 & 23.99 & 11.25 & 134.06 & 122.8 & 23.16 & 47.87 & 24.71 & 1.89 & 4.66 \\ Shrunken objects & 52.90 & 40.72 & 44.17 & 7.16 & 248.27 & 241.12 & 23.77 & 68.87 & 45.10 & 2.12 & 6.35 \\ Reduced contrast & 28.72 & 23.25 & 21.36 & 5.70 & 127.73 & 122.03 & 15.36 & 34.30 & 18.93 & 2.55 & 8.47 \\ \hline \end{tabular}
\end{table} 
Table 3: Statistical analysis of the time required to complete tasks on sublevels of the first level. was significantly higher on the sublevel with distractors (44.82 s) than on the sublevel without distractors (23.86 s), providing further evidence that participants approached and completed the tasks with greater variability. The indices for symmetry and flattening show higher values on the first sublevel, indicating the presence of more extreme values. Overall, these results show that the distractors had a significant impact on the participants' experience by increasing the time required to complete the tasks and leading to greater variability in performance. This suggests that the presence of 3D distractors increases complexity and challenge, causing participants to focus and exert more effort to successfully complete the tasks. The third level of the game focuses on manipulation with 3D objects and offers participants the challenge of reaching and rotating a virtual dice. The results of the statistical analysis at this level can be found in Table 5.  
On the first sublevel, the participants use direct interaction with a 3D object (cube) to find the specified number. On the second sublevel, an indirect interaction with a slider is used to rotate the cube and find the corresponding number. When analyzing the statistical data for the sublevels, it is noticeable that the performance of the participants is different, which is partly due to the differences in the interactions implemented in each sublevel. In the direct interaction, participants had to manage a combination of interactions, including grabbing and releasing as well as rotating a 3D object, resulting in an average processing time of 17.83 s. The complexity of this combination of interactions explains why the participants needed more time for this task in the direct interaction. In contrast, the indirect interaction used a simplified approach with only one type of interaction--a hand movement to one side, using a graphical slider to rotate the 3D object. This made the task easier for the participants, which is reflected in a significantly shorter average processing time of 7.83 s. The median, standard deviation, minimum, and maximum execution times confirm this conclusion and indicate greater consistency in task execution time between participants in indirect interaction. The lower variability in this sublevel suggests that the simplified approach with only one type of interaction allowed participants to solve the task more easily and faster. The direct interaction has a higher IQR, indicating a greater time span, while the lower IQR at the indirect interaction sublevel indicates a more consistent performance of the participants in task execution. The indices of symmetry and flatness also show differences between the sublevels.