## 6 Discussion
\begin{table}
\begin{tabular}{c c c c c} \hline \hline  & \multicolumn{3}{c}{**Confusion Matrix Guide—Multi-Class Classification Method**} \\ \hline \begin{tabular}{c} **Number of Objects** \\ **(n) = 135** \\ \end{tabular} & \begin{tabular}{c} **Predicted: No** \\ **Damage (1)** \\ \end{tabular} & \
\begin{tabular}{c} **Predicted: Medium** \\ **Damage (2)** \\ \end{tabular} &
\begin{tabular}{c} **Predicted: Severe** \\ **Damage (3)** \\ \end{tabular} & **Actual Objects (a)** \\ \hline \hline \multicolumn{5}{c}{**Label 2**} \\ \hline \multirow{3}{*}{Accuracy Index} & \multicolumn{3}{c}{What is the percentage of correct results for the classifier?} \\ \cline{2-5}  & \multicolumn{3}{c}{(TND11 + TMD22 + TSD33)/n = \((42+45+41)/135=0.948=94.8\%\)} \\ \hline \multirow{3}{*}{Misclassification Index} & \multicolumn{3}{c}{What is the percentage of wrong results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{(FND21 + FND31 + FMD12 + FMD32 + FSD13 + FSD23)/n = \((1+2+0+0+3+1)/135=0.052=5.2\%\)} \\ \hline \multirow{3}{*}{True No Damage Index} & \multicolumn{3}{c}{When it is actually (1), what is the percentage of no damage (1) prediction for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TND11}/\text{a1}=42/45=0.933=93.3\%\)} \\ \hline \multirow{3}{*}{False No Damage Index} & \multicolumn{3}{c}{When it is actually (1), what is the percentage of medium damage (2) and severe damage (3) predictions} \\ \cline{2-5}  & \multicolumn{3}{c}{for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{(FMD12 + FSD13)/a1 = \((0+3)/45=0.067=6.7\%\)} \\ \hline \multirow{3}{*}{True Medium Damage Index} & \multicolumn{3}{c}{When it is actually (2), what is the percentage of medium damage (2) prediction for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TMD22}/\text{a2}=45/47=0.957=95.7\%\)} \\ \hline \multirow{3}{*}{False Medium Damage Index} & \multicolumn{3}{c}{When it is actually (2), what is the percentage of no damage (1) and severe damage (3) predictions for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{(FND21 + FSD23)/a2 = \((1+1)/47=0.043=4.3\%\)} \\ \hline \multirow{3}{*}{True Severe Damage Index} & \multicolumn{3}{c}{When it is actually (3), what is the percentage of severe damage (3) prediction for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TSD33}/\text{a3}=41/43=0.953=95.3\%\)} \\ \hline \multirow{3}{*}{False Severe Damage Index} & \multicolumn{3}{c}{When it is actually (3), what is the percentage of no damage (1) and medium damage (2) predictions for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{it?}\)} \\ \cline{2-5}  & \multicolumn{3}{c}{(FND31 + FMD32)/a3 = \((2+0)/43=0.047=4.7\%\)} \\ \hline \multirow{3}{*}{Precision Index (1)} & \multicolumn{3}{c}{When it predicts no damage (1), what is the percentage of correct results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{When it predicts no damage (1), what is the percentage of correct results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TND11}/\text{p1}=42/45=0.933=93.3\%\)} \\ \hline \multirow{3}{*}{No-Precision Index (1)} & \multicolumn{3}{c}{When it predicts no damage (1), what is the percentage of wrong results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{FND21 + FND31)/p1 = \((1+2)/45=0.067=6.7\%\)} \\ \hline \multirow{3}{*}{Precision Index (2)} & \multicolumn{3}{c}{When it predicts medium damage (2), what is the percentage of correct results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TMD22}/\text{p2}=45/45=1.000=100.0\%\)} \\ \hline \multirow{3}{*}{No-Precision Index (2)} & \multicolumn{3}{c}{When it predicts no damage (2), what is the percentage of wrong results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{FND12 + FMD32)/p2 = \((0+0)/45=0.000=0.0\%\)} \\ \hline \multirow{3}{*}{Precision Index (3)} & \multicolumn{3}{c}{When it predicts severe damage (3), what is the percentage of correct results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{TSD33}/\text{p3}=41/45=0.911=91.1\%\)} \\ \hline \multirow{3}{*}{No-Precision Index (3)} & \multicolumn{3}{c}{When it predicts severe damage (3), what is the percentage of wrong results for it?} \\ \cline{2-5}  & \multicolumn{3}{c}{\(\text{FND13 + FSD23)/p3 = \((3+1)/45=0.089=8.9\%\)} \\ \hline \hline \end{tabular}
\end{table}