## 4 Results
### The Evaluation of the Gesture Types in the XR Environment  
For the XR environment (see Figure 8 and Table 3), the evaluation results show similar yet distinct trends. The Surface-Touch gesture again ranked highest in pragmatic quality (\"Good\") and lowest in hedonic quality (\"Below Average\"). Interestingly, although this gesture type received the highest overall satisfaction in the TV environment, it ranked the lowest among all three gesture types on the XR platform, with an overall satisfaction score of 1.17 (\"Above Average\"). On the other hand, the evaluation of the mid-air gesture was improved notably in this context, obtaining the second highest pragmatic quality rating (\"Above Average\") and moderate hedonic quality evaluations (\"Above Average\"). Remarkably, despite being rated negatively in the TV environment, this gesture type received the highest overall satisfaction score (1.22, \"Above Average\") in the XR environment. Also, the micro finger-touch gesture exhibited similar patterns to those in the TV environment. This gesture rated lowest in terms of its pragmatic quality (\"Below Average\") but highest in hedonic quality (\"Good\"), thereby achieving the second highest overall satisfaction (1.20, \"Above Average\"). Subsequently, a statistical analysis was conducted to examine the differences among the three gesture types within the XR environment (Table 4). First, the normality tests showed that pragmatic quality did not meet the assumption of normality; therefore, a non-parametric Friedman test was conducted. For hedonic quality and overall satisfaction, the data satisfied the normality assumption, and thus a repeated-measures ANOVA was applied. The Friedman test for pragmatic quality revealed no significant differences among the three gesture types (\(\chi^{2}(2)\) = 1.94, \(p\) = 0.379). In contrast, the ANOVA for hedonic quality \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Environment**} & **Quality** & **Stats** & **DF** & \(p\)**-Value** & **Post Hoc Result** \\ \hline \multirow{4}{*}{TV} & \multirow{2}{*}{Pragmatic} & \multirow{2}{*}{8.7} & \multirow{2}{*}{2} & \multirow{2}{*}{\(<\)0.01 **} & Mid-air vs. Surface \\  & & & & & (corrected \(p\) \(<\) 0.05 *) \\ \cline{1-1} \cline{4-6}  & & & & & Micro finger vs. mid-air \\ \cline{1-1} \cline{4-6}  & & & & & (corrected \(p\) \(<\) 0.05 *) \\ \cline{1-1} \cline{4-6}  & & & & & Micro finger vs. Surface-Touch \\ \cline{1-1} \cline{4-6}  & & & & & (corrected \(p\) \(<\) 0.01 **) \\ \cline{1-1} \cline{4-6}  & & & & & Mid-air vs. Surface-Touch \\ \cline{1-1} \cline{4-6}  & & & & & (corrected \(p\) \(<\) 0.05 *) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Statistical significance results between gesture types in the TV environment (the Friedman test and post hoc testing using the Wilcoxon signed-rank test with Bonferroni correction). indicated a statistically significant difference (F(2, 58) = 4.45, \(p\) = 0.016). However, no significant difference was observed in overall satisfaction (F(2, 58) = 0.04, \(p\) = 0.96). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Environment** & **Quality Scale** & **Stats** & **DF** & \(p\)**-Value** & **Post-Hoc Result** \\ \hline \multirow{8}{*}{XR} & \multicolumn{1}{c}{Pragmatic (Friedman)} & \multirow{2}{*}{1.94} & \multirow{2}{*}{2} & \multirow{2}{*}{\textgreater{}0.05 ns} & \multirow{2}{*}{-} \\  & \multicolumn{1}{c}{Hedonic (Repeated Measures ANOVA)} & & & & Micro Finger vs \\ \cline{1-1} \cline{5-5}  & \multicolumn{1}{c}{Hedonic (Repeated Measures ANOVA)} & \multirow{2}{*}{4.45} & \multirow{2}{*}{2, 58} & \multirow{2}{*}{\textless{}0.05 *} & \multirow{2}{*}{\textless{}0.05 *} \\ \cline{1-1} \cline{5-5}  & \multicolumn{1}{c}{Overall Satisfaction (Repeated Measures ANOVA)} & & & & (corrected \(p\) \textless{}0.05 *) \\ \cline{1-1} \cline{5-5}  & \multicolumn{1}{c}{Overall Satisfaction (Repeated Measures ANOVA)} & & & & \\ \cline{1-1} \cline{5-5}  & \multicolumn{1}{c}{Hedonic Measures ANOVA)} & & & & \\ \hline \hline \end{tabular}
\end{table}