## 3 Results
### Absolute Value  
For the one-jaw group, absolute values were used to calculate the linear measurement differences between the prediction images (T\({}_{\rm P}\)) and the postoperative result (T\({}_{1}\)). With a test value of zero, all landmarks showed significant differences (Table 3). The mean error for all linear measurements was 1.73 \(\pm\) 1.14 mm. Promasele had the highest correlation between the T\({}_{\rm P}\) and T\({}_{1}\) images (mean error of 0.48 \(\pm\) 0.21 mm) while soft tissue pogoon was the least accurate (mean error of 2.87 \(\pm\) 2.22 mm). Table 3 also shows that the predictions for two landmarks (soft tissue point B and pogoon) had achieved accuracies of approximately 40%, with an average absolute error of less than 2 mm, while predictions for the other five had achieved accuracies greater than 60%.  
The mismatch between the postoperative result (T\({}_{1}\)) and the prediction images (T\({}_{\rm P}\)) in the two-jaw group is shown in Table 4. All landmarks revealed significant differences at \(p\) = 0.05. For all linear measurements, the average error was 1.03 \(\pm\) 0.83 mm. Soft tissue point B was the least accurate area (mean error of 1.31 \(\pm\) 0.98 mm) while pronasele had the highest correlation between the T\({}_{\rm P}\) and T\({}_{1}\) images (mean error of 0.72 \(\pm\) 0.53 mm). Table 4 also demonstrates that all landmarks had accuracies greater than 70%, with an average absolute error of less than 2 mm.  
The relationship between the actual surgical movement distances and the prediction discrepancy is presented in Table 5. Stomian inferius was discovered to have a significant correlation with the sagittal mandibular movement in the one-jaw group whereas, in the two-jaw group, pronasele and pogoon were found to have significant correlations with the sagittal maxillary and mandibular movements, respectively. The other landmarks revealed no statistically significant differences.  
\begin{table}
\begin{tabular}{l c c c c c} \hline \hline \multirow{2}{*}{**ID**} & \multirow{2}{*}{**Sex**} & \multirow{2}{*}{**Age**} & \multirow{2}{*}{**Procedure**} & \multicolumn{2}{c}{**Surgical Movement (Sagittal)**} \\ \cline{5-6}  & & & & & **Maxilla (mm)** & **Mandible (mm)** \\ \hline
6 & M & 27 & LFI + BSSO + genioplasty & 1.63 & \(-\)8.61 \\
7 & M & 28 & LFI + BSSO & 0.76 & \(-\)8.7 \\
8 & M & 25 & LFI + BSSO & 1.14 & \(-\)2.6 \\
9 & F & 23 & LFI + BSSO & 0.96 & \(-\)6.34 \\
10 & F & 35 & LFI + BSSO & 4.08 & \(-\)2.14 \\
11 & F & 32 & LFI + BSSO & 3.76 & \(-\)1.5 \\
12 & F & 26 & LFI + BSSO + genioplasty & 1.31 & \(-\)3.43 \\
13 & F & 21 & LFI + BSSO & 0.68 & \(-\)5.99 \\
14 & F & 24 & LFI + BSSO + genioplasty & 1.99 & \(-\)3.03 \\ \hline \hline \end{tabular} M, male; F, female; positive value, anterior movement; negative value, posterior movement.  
\end{table}
Table 2: Cont.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Point**} & \multirow{2}{*}{**\(p\)-Value**} & \multirow{2}{*}{**Mean Difference**} & \multirow{2}{*}{**SD**} & \multicolumn{2}{c}{**95\% Confidence Interval of the Difference**} & \multirow{2}{*}{**Accuracy Rate, \%**} \\ \cline{5-6}  & & & & **Lower** & **Upper** \\ \hline P & 0.006 * & 0.479 & 0.201 & 0.229 & 0.729 & 100 \\ Sn & 0.007 * & 1.633 & 0.721 & 0.738 & 2.529 & 60 \\ A\({}^{\prime}\) & 0.030 * & 1.115 & 0.760 & 0.172 & 2.058 & 80 \\ Sto\({}_{\rm u}\) & 0.046 * & 1.435 & 1.123 & 0.041 & 2.830 & 60 \\ Sto\({}_{\rm i}\) & 0.020 * & 2.733 & 1.621 & 0.720 & 4.746 & 60 \\ B\({}^{\prime}\) & 0.037 * & 1.813 & 1.315 & 0.180 & 3.446 & 40 \\ Pg & 0.044 * & 2.868 & 2.215 & 0.118 & 5.619 & 40 \\ \hline \hline \end{tabular} *