## 4 Statistical Methodologies and Analysis Results
### Analysis of the Correlation Coefficient  
Based on the construct values of the 42 questionnaires, we found the average value and carried out the analysis of the correlation coefficient by the Pearson's correlation coefficient analysis method, in order to examine the relationships of each construct. A correlation coefficient value equal to 1 represents a total relationship, 0.7\(\sim\)0.99 indicates it is highly related, 0.4\(\sim\)0.69 indicates it is moderately related, 0.1\(\sim\)0.39 indicates it is somewhat related, 0.01\(\sim\)0.09 represents it is slightly related, and 0 means there is no relationship. As can be seen from Tables 3 and 4, the values show how the factors are related to one another. The analysis results are shown in Table 5. According to the results, this research had eight hypotheses:  
1. 'Perceived Playfulness' and 'Satisfaction' are positively related; the eigenvalue is 0. 485 (**). Hypothesis 1 is valid.
2. 'Perceived Playfulness' and 'Intention' are positively related; the eigenvalue is 0.334 (*). Hypothesis 2 is valid.
3. 'Perceived Ease of Use' and 'Perceived Playfulness' are positively related; the eigenvalue is 0.514 (**). Hypothesis 3 is valid.
4. 'Perceived Ease of Use' and 'Perceived Usefulness' are positively related; the eigenvalue is 0.185. Hypothesis 4 is not valid.
5. 'Perceived Ease of Use' and 'Satisfaction' are positively related; the eigenvalue is 0.533 (**). Hypothesis 5 is valid.
6. 'Perceived Usefulness' and 'Satisfaction' are positively related; the eigenvalue is 0.397 (**). Hypothesis 6 is valid.
7. 'Perceived Usefulness' and 'Intention' are positively related; the eigenvalue is 0.269. Hypothesis 7 is not valid.
8. 'Satisfaction' and 'Intention' are positively related; the eigenvalue is 0.310 (*). Hypothesis 8 is valid.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{1}{c}{**Factors**} & \multicolumn{3}{c}{**Initial Eigenvalue**} & \multicolumn{3}{c}{**Axis of Rotation and Load**} \\ \hline  & **Eigenvalue** & **Variable \%** & **Total \%** & **Eigenvalue** & **Variable \%** & **Total \%** \\ \hline Perceived Playfulness & 7.374 & 36.871 & 36.871 & 3.239 & 16.193 & 16.193 \\ \hline Perceived Ease of Use & 2.612 & 13.061 & 49.932 & 3.168 & 15.840 & 32.033 \\ \hline Perceived Usefulness & 2.208 & 11.042 & 60.975 & 3.073 & 15.363 & 47.396 \\ \hline Intention & 1.636 & 8.181 & 69.156 & 2.866 & 14.330 & 61.726 \\ \hline Satisfaction & 1.208 & 6.040 & 75.196 & 2.694 & 13.470 & 75.196 \\ \hline \hline \end{tabular}
\end{table}
Table 4: Total interpretation of variance.  
According to the SPSS correlation coefficient analysis results, and based on the ISO standards, the five constructs that are related match those proposed by experts on interactive artwork usability evaluation. The overall finding is that the users' response to the artwork was positive. The relationships between each component are shown in Table 5.  
As seen in Figure 9, the 'perceived playfulness' of the interactive art is moderately related to the 'perceived ease of use', and is slightly related to the 'perceived usefulness' of the library information services. The eigenvalue was 0.485** between 'perceived playfulness' and'satisfaction', and 0.334 between 'perceived playfulness' and 'intention'. This means the users were satisfied overall with the interactive artwork, and about 1/3 of the users would like to use the interactive artwork again. The eigenvalue of 0.533 between 'perceived ease of use' and'satisfaction' means more than half of the users were satisfied with the interactive artwork in terms of its ease of use. The eigenvalue of 0.397 between 'perceived usefulness' and'satisfaction' indicates that about 40% of the users were satisfied that the interactive artwork effectively presented library information. Finally, the eigenvalue of 0.31 between'satisfaction' and 'intention' suggests that about 1/3 of the users were satisfied with the interactive artwork, and would like to use it again.