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Table 1. Characteristics of the samples

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1 Table 1. Characteristics of the samples

Variables n Mean SD

Age

Female 193 23.6 6.5

Male 123 22.1 4.8

Type of surgery

Non-surgery 156

Class II non-ext surgery 23

Class II ext surgery 16

Class III non-ext surgery 68

Class III ext surgery 53

Type of learning

Learning set 204

Test set 112

Total 316

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2

Table 2. Descriptions of the twelve cephalometric measurements Variables Description

ANB (˚) Angle between A-point, nasion, and B-point

OJ (mm) Anterior-posterior overlap of the maxillary incisors over the mandibular incisor Björk sum (˚) Sum of saddle angle, articular angle, and gonial angle

OB (mm) Superior-inferior overlap of the maxillary incisors over the mandibular incisor U1 to SN (˚) Angle between line through long axis of maxillary incisor and SN plane U1 to OP (˚) Angle between line through long axis of maxillary incisor and occlusal plane IMPA (˚) Angle between line through long axis of mandibular incisor and mandibular plane L1 to OP (˚) Angle between line through long axis of mandibular incisor and occlusal plane IIA (˚) Angle between line through long axis of maxillary incisor and mandibular incisor UL to E-line (mm) Distance from upper lip to esthetic line

LL to E-line (mm) Distance from lower lip to esthetic line

NLA (˚) Angle formed by the intersection of the upper lip and columella at subnasale

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3 Table 3. Descriptions of the six additional indexes

Indexes Description

Maxillary ALD index Grouping ALD > 0, -1 < ALD ≤ 0, -3 <ALD ≤ -1, -5 < ALD ≤ -3, and ALD ≤ -5 to assign weights

Mandibular ALD index Grouping ALD > 0, -1 < ALD ≤ 0, -3 <ALD ≤ -1, -5 < ALD ≤ -3, and ALD ≤ -5 to assign weights

Molar key index Grouping Class III key, Super Class I key, Class I key, End-on key, and Class II key to assign weights

Large overjet index Grouping overjet ≤ 5 and overjet > 5 to assign weights

Protrusion index Grouping concave profile, normal profile, mild protrusion, moderate protrusion, and severe protrusion to assign weights

CC index for protrusion Grouping ‘no protrusion in the CC’ and ‘protrusion in the CC’ to assign weights

ALD, arch length discrepancy; CC, chief complaint

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4 Table 4. Descriptions for the output data

Groups Output data

Dx_surg Dx_diff Dx_ext

Non-surgery 0

Class II non-ext surgery 1 0 0

Class II ext surgery 1 0 1

Class III non-ext surgery 1 1 0

Class III ext surgery 1 1 1

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5 Table 5. Success rates of the each classifier (%)

Learning set

Test set Total set Training set Validation set

Classifier_Surg 95 (129/136) 97 (66/68) 96 (108/112) 96 (303/316) Classifier_Diff 100 (64/64) 100 (32/32) 100 (64/64) 100 (160/160) Classifier_Ext_II 95 (20/21) 100 (7/7) 100 (11/11) 97 (38/39) Classifier_Ext_III 90 (43/48) 88 (21/24) 86 (42/49) 88 (106/121)

Total 91 (186/204) 90 (101/112) 91 (287/316)

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6 Table 6. Analysis of the failed diagnosis

n Class III non-ext surgery ↔ Class III ext surgery 15

Class II non-ext surgery ↔ Non-surgery 6

Class II ext surgery ↔ Non-surgery 4

Class III non-ext surgery ↔ Non-surgery 2

Class II ext surgery ↔ Class II non-ext surgery 1

Class III ext surgery ↔ Non-surgery 1

Total 29

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