## 6 Discussion
### Correlation Analysis  
A correlation analysis was conducted between the renovation time, the park area, and the inclusive design performance indicator (PIDI) score. Firstly, a judgment was made on whether the data is normally distributed using [PERSON] (n = 48) test. The results are shown in Table 6. If the \(p\)-values of all three columns of data are less than 0.05, the assumption of a normal distribution is rejected. All three do not conform to normal distribution, the PIDI score tends towards a normal distribution. Considering that the data does not conform to a normal distribution, the Spearman correlation coefficient was used to verify the correlation. The results are shown in Table 7. Among them, the correlation coefficient between the park area and the PIDI score is 0.365, indicating a moderate positive correlation between the two. The significance is 0.011, which is also a statistically significant result, indicating a significant correlation between the park area and the PIDI score. The correlation coefficient between the renovation time and the PIDI score is 0.443, indicating a moderate degree of positive correlation with a significance level of 0.002, which is far below the conventional significance threshold of 0.05. This indicates that this correlation is statistically significant. The results show both practical and considerable confidence in the correlation between the renovation time and the PIDI score. Then the linear regression analysis was performed to investigate the impact of park renovation time and park area on the PIDI scores. The results reveal a weak positive correlation between park renovation time and PIDI scores but no significant influence of park area on PIDI scores, see Table 8 and Figure 4.  
The R value (correlation coefficient) of 0.44 indicates that there is a moderate degree of correlation between the independent variable (Renovation time) and the dependent variable (PIDI score). The renovation time accounts for 19.0% of PIDI score variance, as indicated by the adjusted R\({}^{2}\) of 0.173. The derived regression equation is Y = \(-649.105\) + \(0.357\) \(\times\) X, where X is renovation time and Y is the PIDI score. Both the intercept and independent variable's coefficient are statistically significant, suggesting renovation time significantly influences PIDI scores. \begin{table}
\begin{tabular}{c c c c} \hline \hline  & \multicolumn{3}{c}{**Shapiro-Wilk**} \\ \cline{2-4}  & **Statistical** & **Degree of Freedom** & **Significance** \\ \hline Park area & 0.574 & 48 & 0.000 \\ Renovation time & 0.778 & 48 & 0.000 \\ PIDI score & 0.950 & 48 & 0.041 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Normality test results. \begin{table}
\begin{tabular}{c c c c} \hline \hline  & **Park Area** & **Renovation Time** \\ \hline \hline \multirow{2}{*}{PIDI score} & Correlation coefficient & 0.365 * & 0.443 ** \\  & Sig. & 0.011 & 0.002 \\  & N & 48 & 48 \\ \hline \hline \end{tabular}  
* At the 0.05 level, the correlation is significant. **At the 0.01 level, the correlation is significant.  
\end{table} 
Table 7: Non parametric correlation. In contrast, the park area does not significantly predict the PIDI score variations, evidenced by corresponding \(p\)-value of approximately 0.115, indicating that the model is not statistically significant. The impact of the park area on the dependent variable is not statistically significant. Comparing the conclusions of Spearman correlation analysis and linear regression analysis, it can be seen that the renovation time has a significant correlation with the PIDI score and presents a certain linear relationship. Park area is correlated with PIDI score, but it may be a nonlinear monotonic relationship, which is captured by Spearman correlation. This result suggests that the inclusiveness of parks in Hangzhou is related to the time of development and renovation. With the introduction and implementation of accessible design guidelines and the improvement in park development and construction, the inclusiveness of parks has increased.