## 4 Results and Discussion
### Discussion  
#### 4.2.1 Laboratory Test Samples of Lengthsui Auxiliary CSGRD  
The behaviour of the relationship between paste margin, mortar margin, and the compressive strength of CSGR (with the target being C\({}_{180}\)20 compressive strength class) over several curing periods (7-day, 28-day, 90-day, and 180-day periods) has been studied. The Pearson correlation coefficients, t-statistics, and \(p\)-values were calculated to determine the strength and significance of these relationships between the paste margin, mortar margin, and compressive strength, as shown in Table 22. The discussion of the analysis for Lengthsuihe Auxiliary CSGRD is provided below. From Table 22, the Pearson correlation coefficients for paste margin and compressive strength revealed a generally weak positive relationship across all curing periods. Specifically, the correlation coefficients were 0.172, 0.197, 0.221, and 0.418 for the 7-day, 28-day, 90-day, and 180-day compressive strengths, respectively. The corresponding t-statistics (0.741, 0.853, 0.784, and 1.382) suggest that these correlations are not statistically significant as the condition of \(p<0.05\) was not satisfied. This indicates that, while there is a slight trend suggesting that an increase in paste margin might be associated with higher compressive strength over time, the relationship was weak and not strongly predictive. As the curing period increases, the strength of the correlation does as well, reaching a moderate level by the 180-day mark. However, the overall statistical insignificance suggests that paste margin alone may not be a strong determinant of compressive strength, and other factors such as aggregate quality, sand ratio, fine content, water-cement ratio, curing condition, and age are likely to play a more critical role in influencing the CSGR performance over time [14; 15; 16; 17]. The Pearson correlation coefficients and corresponding \(p\)-values for the paste margin and compressive strength across various test ages (7, 28, 90, and 180 days) show that the relationship between paste margin and compressive strength was generally weak. \begin{table} \begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Margins**} & **Test Age** & **Pearson** & \multirow{2}{*}{**t-Statistics**} & \multirow{2}{*}{**\(p\)-Value**} & \multirow{2}{*}{**Overall Remarks**} \\  & **(Days)** & **Correlation (r)** & & & \\ \hline \multirow{4}{*}{Paste Margin (\(\alpha\))} & 07 & 0.172 & 0.741 & 4.67 \(\times\) 10\({}^{-1}\) & Weak-to-moderate positive \\  & 28 & 0.197 & 0.853 & 4.04 \(\times\) 10\({}^{-1}\) & correlation and no statistically \\  & 90 & 0.221 & 0.784 & 4.43 \(\times\) 10\({}^{-1}\) & significant relationships \\  & 180 & 0.418 & 1.382 & 1.84 \(\times\) 10\({}^{-1}\) & \\ \hline \multirow{4}{*}{Mortar Margin (\(\beta\))} & 07 & \(-\)0.269 & \(-\)1.185 & 2.51 \(\times\) 10\({}^{-1}\) & Weak-to-moderate negative \\  & 28 & \(-\)0.216 & \(-\)0.936 & 3.62 \(\times\) 10\({}^{-1}\) & correlation and no statistically \\  & 90 & \(-\)0.003 & \(-\)0.011 & 9.91 \(\times\) 10\({}^{-1}\) & significant relationships \\  & 180 & 0.204 & 0.624 & 5.40 \(\times\) 10\({}^{-1}\) & \\ \hline \hline \end{tabular}  (i) Overview: Paste Margin vs. Compressive Strength Development  
From Table 22, the Pearson correlation coefficients for paste margin and compressive strength revealed a generally weak positive relationship across all curing periods. Specifically, the correlation coefficients were 0.172, 0.197, 0.221, and 0.418 for the 7-day, 28-day, 90-day, and 180-day compressive strengths, respectively. The corresponding t-statistics (0.741, 0.853, 0.784, and 1.382) suggest that these correlations are not statistically significant as the condition of \(p<0.05\) was not satisfied. This indicates that, while there is a slight trend suggesting that an increase in paste margin might be associated with higher compressive strength over time, the relationship was weak and not strongly predictive.