## 4 Results
### Questionnaire Survey and Data Analysis
#### 4.3.2 Analysis of Reliability and Validity of Collected Questionnaire Data  
Prior to assessing the effectiveness of the proposed system \"FUI Magic\" and the magic show \"Fantasy Doves\" using the two scales of the \"magic viewing experience\" and \"multi-media technology understanding\", according to the audience's answers to the questions asked in the questionnaire survey described in Tables 8 and 9, it is imperative to verify the reliability and validity of the data presented in Tables 10 and 11. This verification process is conducted sequentially in five steps using the statistical software package IBM SPSS 26 and AMOS 23, and the intermediate results of the steps are described in the following. (1) _Step 1: Verification of the adequacy of the questionnaire dataset_  
To assess the _adequacy_ of the collected questionnaire data, in this study the Kaiser-Meyer-Olkin (KMO) test and [PERSON]'s test of sphericity were employed. The KMO measure of sampling adequacy is a statistic indicating the proportion of variance among the variables expressed by the questionnaire data, potentially attributed to underlying factors. Typically, a KMO measure value exceeding the threshold of 0.50 is considered to pass the KMO test. Additionally, [PERSON]'s test of sphericity assesses the hypothesis that the correlation matrix of the data variables is an identity matrix, suggesting no correlation among the variables. A significance value below the threshold of 0.05 is generally acceptable to reject the hypothesis, or in other words, to pass [PERSON]'s test. When both tests are successful, the dataset is deemed to be _adequately related_, demonstrating the adequacy of the dataset for subsequent structural analysis. Specifically, using the data from Tables 10 and 11 as input for the SPSS program, the computed KMO measure values and [PERSON]'s significant values are presented in Table 12. It is evident from the table that the two KMO measure values exceed 0.50, and the two computed significant values for [PERSON]'s test are below 0.05. Therefore, both tests have been successfully passed, indicating that the data from Tables 10 and 11 are _suitable for further structural analysis_, as undertaken in the subsequent steps of the data verification. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Scale** & **Name of Measure or Test** & **Value** \\ \hline \multirow{4}{*}{\
\begin{tabular}{c} Magic viewing \\ experience \\ \end{tabular} } & \multicolumn{2}{c}{KMO measure of sampling adequacy} & 0.912 \\ \cline{2-3}  & & \multicolumn{2}{c}{Approx. Chi-Square} & 799.422 \\ \cline{2-3}  & & \multicolumn{2}{c}{Degree of freedom} & 78 \\ \cline{2-3}  & & \multicolumn{2}{c}{Significance} & 0.000 \\ \hline \multirow{4}{*}{
\begin{tabular}{c} Multimedia \\ technology \\ understanding \\ \end{tabular} } & \multicolumn{2}{c}{KMO measure of sampling adequacy} & 0.824 \\ \cline{2-3}  & & \multicolumn{2}{c}{Approx. Chi-Square} & 670.243 \\ \cline{2-3}  & & \multicolumn{2}{c}{Degree of freedom} & 78 \\ \cline{2-3}  & & \multicolumn{2}{c}{Significance} & 0.000 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: The measured values of the KMO test and the significance values of Bartlett’s test of the questionnaire data collected with the two scales as listed in Tables 10 and 11.