## 4 Data Analysis and Results
The null hypothesis establishes that the distribution of response times is the same for every group of individuals. A \(p\)-value of 0.000 (<0.05) in the Kruskal-Wallis test (Table 5) prompted us to reject the null hypothesis, affirming that there were significant differences in terms of distribution in the response time of the groups. Inspection of Figure 2 suggests differences between groups 1 and groups 2 and 3. The Wilcoxon-Mann-Whitney gives us the opportunity to conduct a more in-depth study by comparing groups to statistically confirm this conjecture (Table 6). The \(p\)-value (0.000) for groups 1 and 2 is less than both 0.05 and 0.01, if we consider the threshold of 5% and 1%, respectively. This indicates that there are remarkable differences between these groups. Also, important differences are reflected in groups 1 and 3 as their \(p\)-value is 0.001. Groups 1 and 4 present a \(p\)-value of 0.030, which is lower than 0.05 but larger than 0.01, showing differences if we consider the 5% level of significance and no differences if we consider the 1% level of significance. This indicates that differences are smaller among groups 1 and 4 than the differences between group 1 and groups 2 and 3. Values of 0.105, 0.080, and 0.481 as \(p\)-values evidence the absence of differences at both 5% and 1% levels of significance between groups 2 and 3, 2 and 4, and 3 and 4, respectively. Table 6 shows the summary of all comparative tests and shows differences between groups 1 and groups 2 and 3 (5% and 1% levels of significance) while differences between groups 1 and 4 exist at a \begin{table}
\begin{tabular}{c c c c c c} \hline  & & **U** & **W** & **Z** & \(p\)**-Value** \\ \hline \multirow{3}{*}{Group 1 (26) (control group)} & Group 2 (17) & 35.500 & 386.500 & \(-\)4.608 & 0.000 ** \\ \cline{2-6}  & Group 3 (11) & 46.000 & 397.000 & \(-\)3.223 & 0.001 ** \\ \cline{2-6}  & Group 4 (6) & 33.000 & 384.000 & \(-\)2.173 & 0.030 * \\ \hline \multirow{3}{*}{Group 2 (17)} & Group 3 (11) & 59.000 & 125.000 & \(-\)1.623 & 0.105 \\ \cline{2-6}  & Group 4 (6) & 26.000 & 47.000 & \(-\)1.715 & 0.080 \\ \hline \multirow{2}{*}{Group 3 (11)} & Group 4 (6) & 26.000 & 47.000 & \(-\)0.704 & 0.481 \\ \hline \end{tabular}
\end{table} 
Table 6: Comparative study of differences between groups (Wilcoxon-Mann–Whitney test. * significance at 5%, ** significance at 1%). \begin{table}
\begin{tabular}{c c c c} \hline  & **Variance Homogeneity Test** & & \\ \hline \multirow{5}{*}{Seconds used in completing the activity} & \multicolumn{2}{c}{**Statistic**} & \(p\)**-Value** \\ \cline{2-4}  & Based on mean & 13.13 & 0.000 \\ \cline{2-4}  & Based on median & 8.69 & 0.000 \\ \cline{2-4}  & Based on median with gl & 8.69 & 0.000 \\ \cline{2-4}  & adjusted & 8.69 & 0.000 \\ \cline{2-4}  & Based on trimmed mean & 12.26 & 0.000 \\ \hline \end{tabular}
\end{table} 
Table 4: Levene test results. \begin{table}
\begin{tabular}{c c} \hline  & **Time** \\ \hline Statistic & 26.636 \\ \hline gl & 3 \\ \hline \(p\)-value & 0.000 \\ \hline \end{tabular}
\end{table} 
Table 5: Kruskal–Wallis test results. 5% level of significance but not at a 1% level of significance. Figure 2 shows the differences between group 1 and the other groups since the bar of group 1 is not overlapped with the bars of the other groups. Additionally, no differences are present between groups 2 and 3 and groups 3 and 4, as the bars are overlapped in the two cases. However, although bars for groups 2 and 4 do not overlap, showing differences in these groups, the Mann-Whitney test establishes that their difference is not statistically significant (_p_-value = 0.080).