## 3 Results
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Items**} & \multirow{2}{*}{**Bracket Bonded Teeth**} & \multicolumn{3}{c}{**Bonding Failure**} & \multicolumn{3}{c}{**Position Error**} & \multicolumn{3}{c}{**Total Re-Bonding**} \\ \cline{3-10}  & & \multicolumn{3}{c}{**Site**} & \multicolumn{3}{c}{**Site**} & \multicolumn{3}{c}{**Site**} & \multicolumn{3}{c}{**Site**} \\ \cline{2-10}  & & **Anterior** & **Premolar** & **Molar** & **Anterior** & **Premolar** & **Molar** & **Anterior** & **Premolar** & **Molar** & **Total** \\ \hline \multirow{10}{*}{Arch} & Count & 43 & 45 & 56 & 144 & 75 & 12 & 10 & 97 & 118 & 57 & 66 & 241 \\  & Expected count & 63.71 & 35.43 & 44.86 & 144 & 69.58 & 14.22 & 13.20 & 97 & 128.70 & 51.31 & 60.99 & 241 \\  & Proportion & & & & & & & & & & \\  & within an arch (\%) & 29.86 & 31.25 & 38.89 & 100.00 & 77.32 & 12.37 & 10.31 & 100.00 & 48.96 & 23.65 & 27.39 & 100.00 \\  & Proportion & & & & & & & & & & \\  & within site (\%) & 25.44 & 47.87 & 47.06 & 37.70 & 54.74 & 42.86 & 38.46 & 50.79 & 38.56 & 46.72 & 45.52 & 42.06 \\  & Proportion & & & & & & & & & & \\  & Proportion & & & & & & & & & & \\  & Proportion & & & & & & & & & & \\  & within an arch (\%) & 25.24 & 20.59 & 26.47 & 100.00 & 65.96 & 17.02 & 17.02 & 100.00 & 56.63 & 19.58 & 23.80 & 100.00 \\  & Proportion & & & & & & & & & & \\  & Proportion & & & & & & & & & & \\  & within site (\%) & 74.56 & 52.13 & 52.94 & 62.30 & 45.26 & 57.14 & 61.54 & 49.21 & 61.44 & 53.28 & 54.48 & 57.94 \\  & Proportion & & & & & & & & & & & \\  & Proportion & & & & & & & & & & \\  & & & & & & & & & & & & \\  & & & & & & & & & & & \\  & & & & & & & & & & & \\ Total & & & & & & & & & & & \\  & & & & & & & & & & & \\  & & & & & & & & & & & \\  & & & & & & & & & & & \\ \hline \hline \multicolumn{10}{c}{**\(p<0.01\).} \\ \end{tabular}
\end{table} 
Table 2: Frequency statistics of bracket re-bonding rate in the maxilla and mandible. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Items**} & \multirow{2}{*}{**Bracket Bonded Teeth**} & \multicolumn{3}{c}{**Bonding Failure**} & \multicolumn{3}{c}{**Position Error**} & \multicolumn{3}{c}{**Total Re-Bonding**} \\ \cline{3-10}  & & & \multicolumn{3}{c}{**\(N\)**} & \multicolumn{3}{c}{**\(N\)**} & \multicolumn{3}{c}{**\%**} & \multicolumn{3}{c}{**\(N\)**} & \multicolumn{3}{c}{**\%**} \\ \hline Total & 2531 & 382 & 15.09 & 191 & 7.55 & 573 & 22.64 \\ Maxilla & 1277 & 144 & 37.70 & 97 & 50.78 & 241 & 42.06 \\ Mandible & 1254 & 238 & 62.30 & 94 & 49.21 & 332 & 57.94 \\ Male & 930 & 166 & 17.85 & 97 & 10.43 & 263 & 28.28 \\ Female & 1601 & 216 & 13.49 & 94 & 5.87 & 310 & 19.36 \\ \textless 20 years & 1183 & 217 & 18.34 & 123 & 10.40 & 340 & 28.74 \\ \textgreater{}20 years & 1348 & 165 & 12.24 & 68 & 5.04 & 233 & 17.28 \\ Skeletal Class I & 782 & 114 & 14.58 & 55 & 7.03 & 169 & 21.61 \\ Skeletal Class III & 1093 & 165 & 15.10 & 83 & 7.59 & 248 & 22.69 \\ Skeletal Class III & 656 & 103 & 15.70 & 53 & 8.08 & 156 & 23.78 \\ Hyperdivergency & 779 & 141 & 18.10 & 48 & 6.16 & 189 & 24.26 \\ Normodivergency & 1066 & 149 & 13.98 & 85 & 7.97 & 234 & 21.95 \\ Hypodivergency & 686 & 92 & 13.41 & 58 & 8.45 & 150 & 21.87 \\ Initial stage & 2531 & 170 & 6.72 & 16 & 0.63 & 186 & 7.35 \\ Middle stage & 2531 & 175 & 6.91 & 133 & 5.25 & 308 & 12.17 \\ Late stage & 2531 & 37 & 1.46 & 42 & 1.66 & 79 & 3.12 \\ Incisors and canines & 1275 & 169 & 13.25 & 137 & 10.75 & 306 & 24.00 \\ Premolars & 652 & 94 & 14.42 & 28 & 4.29 & 122 & 18.71 \\ Molars & 707 & 119 & 16.83 & 26 & 3.68 & 145 & 20.51 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Descriptive statistics of bracket re-bonding rate.