
Figure 1.
Voxel-based superimposition using Dolphin software. A. Landmarks for maxillary superimposition; B. Landmarks for mandibular superimposition.
Table I.
Maxillary and mandibular landmarks
| Maxillary landmarks | ||
| 1 | OrR | The inferiormost aspect of the right orbital cavity |
| 2 | OrL | The inferiormost aspect of the left orbital cavity. |
| 3 | N | The anteriormost point along the nasofrontal suture. |
| 4 | ANS | The apex of the anterior nasal spine |
| 5 | PNS | The apex of the posterior nasal spine |
| Mandibular landmarks | ||
| 1 | MfR | The anteriormost point of the right mental foramen |
| 2 | MfL | The anteriormost point of the left mental foramen |
| 3 | GoR | The midpoint along the bony border of the right mandibular angle |
| 4 | GoL | The midpoint along the bony border of the left mandibular angle |
| 5 | Gn | The point where the mid-sagittal plane intersects the lowest point of the mandibular symphysis |

Figure 2.
Measurement of tooth movements. A. Disto-mesial tipping angles of the upper molars and labio-lingual tipping angles of the upper incisors; B. Disto-mesial tipping angles of the lower molars and labio-lingual tipping angles of the lower incisors; C. Rotation angle of the upper molars; D. Rotation angle of the lower molars; E. Displacement of the upper molars; F. Displacement of the lower molars.
Table II.
Descriptive statistics
| Mean | SD | n | |
|---|---|---|---|
| Upper molar distalization efficiency (%) | 0.60 | 0.07 | 60 |
| Upper incisors labial tipping (°) | 3.84 | 1.10 | 60 |
| Upper molar distal tipping (°) | 3.67 | 1.31 | 60 |
| Upper molar disto-buccal rotation (°) | 3.70 | 1.23 | 60 |
| Upper molar buccal tipping (°) | 0.99 | 0.33 | 60 |
| Lower molar mesialization (mm) | 0.64 | 0.27 | 60 |
| Lower molar lingual tipping (°) | 0.75 | 0.43 | 60 |
| Lower molar mesial tipping (°) | 1.93 | 0.99 | 60 |
| Lower incisors labial tipping (°) | 2.61 | 1.13 | 60 |

Figure 3.
Scatter diagram, Pearson’s correlation coefficients, and simple linear regression analyses of the predicted upper molar distalisation and achieved tooth movement.Table III. Multiple linear regression models for predicted and achieved tooth movements
Table III.
Multiple linear regression models for predicted and achieved tooth movements
| Variables | Unstandard coefficients | 95.0% CI | Standard coefficients | t value | P value | ||
|---|---|---|---|---|---|---|---|
| B | SE | Lower | Upper | β | |||
| Achieved upper molar distalization | |||||||
| Intercept | 0.120 | 0.097 | –0.075 | 0.316 | 1.236 | 0.222 | |
| Predicted molar distalization | 0.573 | 0.028 | 0.518 | 0.629 | 0.940 | 20.580 | 0.000* |
| Sex | –0.089 | 0.059 | –0.207 | 0.030 | –0.070 | –1.506 | 0.138 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | 0.035 | 0.064 | –0.093 | 0.163 | 0.027 | 0.551 | 0.584 |
| Vertical | 0.010 | 0.072 | –0.135 | 0.155 | 0.007 | 0.139 | 0.890 |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | –0.042 | 0.070 | –0.184 | 0.099 | –0.034 | –0.603 | 0.549 |
| Moderate crowding | –0.056 | 0.077 | –0.211 | 0.098 | –0.040 | –0.734 | 0.466 |
| Upper molar distal tipping | |||||||
| Intercept | 1.698 | 0.369 | 0.958 | 2.438 | 4.606 | 0.000 | |
| Predicted molar distalization | 0.955 | 0.108 | 0.739 | 1.171 | 0.756 | 8.861 | 0.000* |
| Sex | –0.223 | 0.233 | –0.690 | 0.245 | –0.085 | –0.956 | 0.343 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | –0.659 | 0.251 | –1.163 | –0.156 | –0.248 | –2.629 | 0.011* |
| Vertical | –1.981 | 0.280 | –2.542 | –1.419 | –0.686 | –7.078 | 0.000* |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | 0.560 | 0.272 | 0.014 | 1.105 | 0.215 | 2.060 | 0.044* |
| Moderate crowding | 0.093 | 0.294 | –0.497 | 0.683 | 0.032 | 0.316 | 0.753 |
| Upper molar rotation | |||||||
| Intercept | 1.325 | 0.341 | 0.642 | 2.008 | 3.890 | 0.000 | |
| Predicted molar distalization | 1.004 | 0.100 | 0.804 | 1.203 | 0.847 | 10.083 | 0.000* |
| Sex | –0.189 | 0.215 | –0.620 | 0.243 | –0.077 | –0.876 | 0.385 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | –0.016 | 0.232 | –0.481 | 0.449 | –0.006 | –0.068 | 0.946 |
| Vertical | –1.100 | 0.258 | –1.619 | –0.582 | –0.406 | –4.257 | 0.000* |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | 0.265 | 0.251 | –0.239 | 0.768 | 0.109 | 1.055 | 0.296 |
| Moderate crowding | –0.269 | 0.272 | –0.814 | 0.276 | –0.098 | –0.991 | 0.326 |
| Lower molar mesialization | |||||||
| Intercept | 0.125 | 0.080 | –0.036 | 0.285 | 1.559 | 0.125 | |
| Predicted molar distalization | 0.183 | 0.028 | 0.127 | 0.238 | 0.714 | 6.568 | 0.000* |
| Sex | –0.012 | 0.056 | –0.124 | 0.100 | –0.023 | –0.216 | 0.830 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | –0.053 | 0.057 | –0.167 | 0.060 | –0.099 | –0.944 | 0.350 |
| Vertical | –0.026 | 0.066 | –0.158 | 0.106 | –0.044 | –0.393 | 0.696 |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | 0.077 | 0.069 | –0.061 | 0.215 | 0.146 | 1.121 | 0.267 |
| Moderate crowding | 0.083 | 0.089 | –0.095 | 0.261 | 0.133 | 0.936 | 0.354 |
| Upper incisors tipping | |||||||
| Intercept | 1.481 | 0.289 | 0.901 | 2.062 | 5.125 | 0.000 | |
| Predicted molar distalization | 0.855 | 0.084 | 0.686 | 1.025 | 0.804 | 10.126 | 0.000* |
| Sex | –0.273 | 0.183 | –0.639 | 0.094 | –0.123 | –1.493 | 0.142 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | –0.230 | 0.197 | –0.624 | 0.165 | –0.103 | –1.168 | 0.248 |
| Vertical | –0.007 | 0.219 | –0.447 | 0.434 | –0.003 | –0.030 | 0.976 |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | 0.279 | 0.213 | –0.148 | 0.706 | 0.127 | 1.310 | 0.196 |
| Moderate crowding | 0.766 | 0.231 | 0.303 | 1.229 | 0.309 | 3.322 | 0.002* |
| Lower incisors tipping | |||||||
| Intercept | 0.196 | 0.264 | –0.334 | 0.727 | 0.743 | 0.461 | |
| Predicted molar distalization | 0.811 | 0.092 | 0.627 | 0.996 | 0.745 | 8.840 | 0.000* |
| Sex | –0.183 | 0.185 | –0.554 | 0.187 | –0.081 | –0.994 | 0.325 |
| Attachment | |||||||
| No attachment | Reference | ||||||
| Horizontal | –0.124 | 0.187 | –0.499 | 0.250 | –0.054 | –0.666 | 0.509 |
| Vertical | –0.030 | 0.218 | –0.467 | 0.406 | –0.012 | –0.139 | 0.890 |
| Crowding | |||||||
| No crowding | Reference | ||||||
| Mild crowding | 0.499 | 0.227 | 0.044 | 0.955 | 0.223 | 2.201 | 0.032* |
| Moderate crowding | 0.752 | 0.293 | 0.164 | 1.340 | 0.284 | 2.568 | 0.013* |