Table 3 Pre-treatment comparison (T1) of the mean values of cephalometric analysis between RME-RTB, RME-FM, and control group

 < Ba-T-Vert T

31.15 ± 3.97

32.23 ± 4.76

31.07 ± 4.46

0.756

0.806

0.993

0.786

 < Ar-T-Vert T

26.53 ± 4.09

27.61 ± 2.90

26.07 ± 4.27

0.574

0.753

0.944

0.569

 < SNA

79.15 ± 3.18

78.92 ± 3.14

78.46 ± 2.10

0.824

0.974

0.813

0.918

 < SNB

82.23 ± 2.71

81.46 ± 2.84

81.50 ± 2.10

0.697

0.723

0.752

0.998

 < ANB

− 3.07 ± 1.65

− 2.53 ± 2.06

− 3.03 ± 1.36

0.675

0.704

0.992

0.746

 Wits (mm)

− 8.15 ± 2.37

− 7.23 ± 2.24

− 7.50 ± 2.50

0.596

0.589

0.761

0.952

 A-Vert T (mm)

63.76 ± 6.39

60.38 ± 6.14

63.42 ± 4.44

0.261

0.306

0.987

0.372

 Ptm-Vert T (mm)

18.07 ± 2.92

15.76 ± 2.77

18.15 ± 2.19

0.042*

0.085

0.992

0.072

 Co-A (mm)

83.38 ± 5.82

81.38 ± 7.93

80.69 ± 5.32

0.544

0.714

0.543

0.962

 Pr-Vert T (mm)

67.23 ± 6.83

62.38 ± 7.19

65.53 ± 4.29

0.146

0.133

0.775

0.414

 B-Vert T (mm)

67.53 ± 8.57

61.07 ± 9.34

66.46 ± 6.27

0.118

0.122

0.946

0.225

 Id-Vert T (mm)

69.38 ± 7.98

62.69 ± 9.18

67.69 ± 6.68

0.104

0.097

0.855

0.266

 Co-Gn (mm)

114.69 ± 8.71

110.07 ± 10.1

110 ± 6.97

0.302

0.372

0.363

0.962

 Co-Go (mm)

53.30 ± 4.19

52.84 ± 7.39

50.84 ± 4.86

0.501

0.975

0.517

0.641

 Go-Gn (mm)

76.30 ± 6.70

72.23 ± 7.63

72.61 ± 4.95

0.224

0.264

0.339

0.986

 Co-Vert T (mm)

15.46 ± 3.16

16.53 ± 2.87

13.61 ± 2.50

0.047*

0.603

0.242

0.032*

 < ML-SBL

26.92 ± 5.04

26.76 ± 7.22

26.23 ± 6.22

0.955

0.995

0.952

0.977

 < NL-SBL

− 0.15 ± 1.99

1.23 ± 4.93

0.76 ± 1.09

0.525

0.504

0.731

0.928

 < NL-ML

27.15 ± 4.82

25.53 ± 3.35

25.46 ± 5.48

0.586

0.65

0.626

0.999

 < Ar-Go-Me

131.84 ± 4.82

129.69 ± 5.67

133.15 ± 3.67

0.198

0.498

0.768

0.173

 ANS-Me (mm)

63.30 ± 5.36

59.84 ± 4.18

59.15 ± 4.33

0.063

0.156

0.079

0.922

 < UI-SN

110.53 ± 6.10

106.84 ± 9.80

105.38 ± 10.4

0.337

0.552

0.321

0.917

 < IMPA

85.23 ± 5.67

85.38 ± 9.15

84.53 ± 9.23

0.96

0.99

0.972

0.963

 < CondAx-Vert T

20 ± 4.47

20.92 ± 8.75

23.46 ± 3.23

0.321

0.91

0.31

0.533

 < CondAx-SBL

71.46 ± 5.01

70.53 ± 8.81

66.76 ± 2.48

0.126

0.926

0.136

0.263

 < CondAx-ML

136.23 ± 5.05

136.61 ± 7.64

139.23 ± 5.64

0.414

0.985

0.446

0.532

 < Ar-Go-Vert T

16.53 ± 4.77

14.38 ± 6.27

19.69 ± 2.78

0.026*

0.494

0.239

0.024*