## 3 Results and Discussion
### Range Analysis and Analysis of Variance
#### 3.3.1 Range Analysis and ANOVA of Compressive Strength  
Table 13 lists the mean S/N ratio of the compressive strength factor for each level and Figure 9 shows the S/N response graph of the compressive strength. It can be seen from the delta value in Table 13 and the mean S/N ratio in Figure 9 that the coarse aggregate size was the significant factor in controlling the compressive strength. In this study, the sizes of coarse aggregates ranged from 4.76 to 19 mm, consisting of three single-sized gradations. As the coarse aggregate size increased, the compressive strength increased and then decreased. In other words, when the coarse aggregate size was the second level (9.5-12.5 mm), the value of the compressive strength was the highest. The comparison of the compressive strength and void ratio for different aggregate gradations is presented in Figure 10. However, due to the interaction of other control factors, there was no clear relationship between the void ratio and coarse aggregate size. As a result, it can be observed from Figure 10 that the relationship between the compressive strength and void ratio was highly dispersed, irrespective of any coarse aggregate size. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Performance Parameter**} & \multirow{2}{*}{**Experimental Control Factor**} & \multicolumn{4}{c}{**Mean S/N Ratio (\(\eta\), Unit dB)**} & \multicolumn{2}{c}{**Delta**} & \multirow{2}{*}{**Rank**} \\ \cline{3-4} \cline{6-7}  & & **Level 1** & & **Level 2** & & **Level 3** & (Max. \(\eta\) – Min. \(\eta\))** \\ \hline \multirow{4}{*}{Compressive strength} & Coarse aggregate size, A & 15.52 & 16.80 & 14.02 & 2.782 & 1 \\  & Fine aggregate content, B & 14.93 & 15.68 & 15.73 & 0.796 & 3 \\  & Matrix type, C & 15.16 & 15.00 & 16.18 & 1.179 & 2 \\  & Aggregate-to-binder ratio, D & 15.50 & 15.73 & 15.11 & 0.617 & 4 \\ \hline \multirow{4}{*}{Elastic modulus} & Coarse aggregate size A & 78.76 & 80.34 & 79.83 & 1.581 & 4 \\  & Fine aggregate content, B & 79.38 & 78.80 & 80.75 & 1.952 & 3 \\  & Matrix type, C & 77.54 & 81.26 & 80.13 & 3.723 & 2 \\  & Aggregate-to-binder ratio, D & 80.99 & 75.53 & 82.41 & 6.884 & 1 \\ \hline \multirow{4}{*}{Flexural strength} & Coarse aggregate size, A & 3.81 & 2.85 & 2.87 & 0.954 & 3 \\  & Fine aggregate content, B & 2.16 & 2.91 & 4.47 & 2.306 & 1 \\  & Matrix type, C & 3.74 & 2.87 & 2.92 & 0.867 & 4 \\  & Aggregate-to-binder ratio, D & 2.37 & 3.86 & 3.30 & 1.496 & 2 \\ \hline \multirow{4}{*}{Splitting tensile strength} & Coarse aggregate size, A & \(-\)0.99 & \(-\)0.67 & \(-\)0.31 & 0.681 & 2 \\  & Fine aggregate content, B & \(-\)0.69 & \(-\)1.70 & 0.42 & 2.113 & 1 \\ \cline{1-1}  & Matrix type, C & \(-\)0.56 & \(-\)0.63 & \(-\)0.78 & 0.222 & 4 \\ \cline{1-1}  & Aggregate-to-binder ratio, D & \(-\)0.55 & \(-\)0.82 & \(-\)0.61 & 0.270 & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: The auxiliary table of the fiber-reinforced LPC. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Designation**} & \multicolumn{4}{c}{**Experimental Results (MPa)**} & \multicolumn{4}{c}{**S/N Ratio (dB)**} \\ \cline{2-9}  & \(f_{e}\)\({}^{\prime}\) & \(E_{c}\) & \(f_{\tau}\) & \(f_{\rm s}\) & \(f_{e}\)\({}^{\prime}\) & \(E_{c}\) & \(f_{\tau}\) & \(f_{\rm s}\) \\ \hline LC1 & 5.48 & 7704 & 1.34 & 0.91 & 14.78 & 77.73 & 2.54 & \(-\)0.82 \\ LC2 & 6.02 & 5899 & 1.57 & 0.78 & 15.59 & 75.42 & 3.92 & \(-\)2.16 \\ LC3 & 6.46 & 14,327 & 1.77 & 1.00 & 16.20 & 83.12 & 4.96 & 0.00 \\ LC4 & 5.96 & 16,721 & 1.21 & 0.93 & 15.50 & 84.47 & 1.66 & \(-\)0.63 \\ LC5 & 7.78 & 11,649 & 1.19 & 0.82 & 17.82 & 81.33 & 1.51 & \(-\)1.72 \\ LC6 & 7.14 & 5771 & 1.86 & 1.04 & 17.07 & 75.23 & 5.39 & 0.34 \\ LC7 & 5.32 & 6268 & 1.30 & 0.93 & 14.52 & 75.94 & 2.28 & \(-\)0.63 \\ LC8 & 4.80 & 9603 & 1.46 & 0.87 & 13.62 & 79.65 & 3.29 & \(-\)1.21 \\ LC9 & 4.96 & 15,661 & 1.42 & 1.11 & 13.91 & 83.90 & 3.05 & 0.91 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: The experimental results and corresponding S/N ratio of the fiber-reinforced LPC.