## 3 Results and Discussion
### Hit-the-Ball
#### 3.2.2 Reaction-Time Analysis  
The response time here is the time from the ball appearing at the start point to the subject pressing the button. Every group uses the response time of each person as an individual datum for analysis. Without considering individual differences, some people may have responded slightly slower and were only able to react when the ball entered the red zone. Reaction time is used to indicate reaction ability in this evaluation. As the game speed increases, the response time gradually decreased in all groups. The response times under different game speeds are shown in Table 10. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Game Level Level**} & \multicolumn{3}{c}{**MMSE**} & \multicolumn{2}{c}{**One-Way Anova**} \\ \cline{2-6}  & **Normal (1)** & **MCI (2)** & **Moderate-to-Severe (3)** & \multirow{2}{*}{**F**} & \multirow{2}{*}{**\(p\)-Value**} \\ \cline{3-3} \cline{5-6}  & **Mean \(\pm\) SD 1  & **Mean \(\pm\) SD 2 ** & **Mean \(\pm\) SD 3 ** \\ \hline slow & 0.29 \(\pm\) 0.21 & 0.32 \(\pm\) 0.26 & 0.37 \(\pm\) 0.27 & 0.950 & 0.391 \\ medium & 0.22 \(\pm\) 0.13 & 0.25 \(\pm\) 0.15 & 0.25 \(\pm\) 0.13 & 0.587 & 0.558 \\ fast & 0.14 \(\pm\) 0.07 & 0.12 \(\pm\) 0.07 & 0.15 \(\pm\) 0.00 & 0.163 & 0.850 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Response times of subjects at different game level(s) (time-limited). \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**MMSE**} & \multicolumn{3}{c}{**Game Level**} & \multicolumn{3}{c}{**Friedman**} \\ \cline{3-6}  & **Slow(A)** & **Medium(B)** & **Fast(C)** & \multirow{2}{*}{**\(\mathbf{X}^{2}\)**} & \multirow{2}{*}{**\(\mathbf{p\)-Value**} \\ \cline{3-6}  & **Mean \(\pm\) SD 1 ** & **Mean \(\pm\) SD 2 ** & **Mean \(\pm\) SD 3 ** & **Mean \(\pm\) SD 4 ** \\ \hline \multirow{2}{*}{Time-limited Moderate-to-Severe} & Normal & 0.86 \(\pm\) 0.17 & 0.83 \(\pm\) 0.24 & 0.50 \(\pm\) 0.43 & 13.378 & 0.001 1  \\  & MCI & 0.68 \(\pm\) 0.38 & 0.68 \(\pm\) 0.40 & 0.16 \(\pm\) 0.26 & 12.000 & 0.002 1  \\  & Moderate-to-Severe & 0.58 \(\pm\) 0.29 & 0.60 \(\pm\) 0.37 & 0.02 \(\pm\) 0.06 & 13.650 & 0.001  \\ \hline \multirow{2}{*}{Time-unlimited Moderate-to-Severe} & Normal & 1.00 \(\pm\) 0.00 & 1.00 \(\pm\) 0.00 & 0.98 \(\pm\) 0.07 & 4.000 & 0.135 \\  & MCI & 0.96 \(\pm\) 0.13 & 0.98 \(\pm\) 0.06 & 0.88 \(\pm\) 0.21 & 2.923 & 0.232 \\  & Moderate-to-Severe & 0.78 \(\pm\) 0.28 & 0.78 \(\pm\) 0.34 & 0.56 \(\pm\) 0.25 & 7.032 & 0.030  \\ \hline \multirow{2}{*}{Judgement Model Moderate-to-Severe} & Normal & 0.98 \(\pm\) 0.05 & 0.99 \(\pm\) 0.05 & 0.96 \(\pm\) 0.10 & 6.500 & 0.039  \\  & MCI & 0.95 \(\pm\) 0.16 & 0.96 \(\pm\) 0.10 & 0.89 \(\pm\) 0.12 & 6.421 & 0.040  \\  & Moderate-to-Severe & 0.76 \(\pm\) 0.16 & 0.80 \(\pm\) 0.20 & 0.71 \(\pm\) 0.19 & 4.171 & 0.124 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Posterior comparisons of the results of different game speeds by test scores using the Friedman Test. Like in the whack-a-mole game, at medium and fast speed levels, the MCI group has a shorter reaction time than the normal group, but the accuracy rate is very low (see Table 8). Because the three groups of data were used for the normality analysis and found to be normal, a one-way ANOVA was used to test whether the groups were different, and then a post hoc analysis was performed to compare the differences between the groups. For the time-limited mode, after the null hypothesis was rejected in the one-way ANOVA, a post hoc analysis for comparison of the two groups was performed, and the results showed differences between the normal group and the MCI group, with a \(T\)-score = \(-\)0.27715 for medium speed; between the normal group and the MCI group, with a \(T\)-score = \(-\)0.12272 for fast speed; and between the normal group and the moderate-to-severe group, with a \(T\)-score = \(-\)0.14359 for fast speed. All significance levels were 0.05 for the analyses.