Table 3 Force distribution within clear aligner and comparisons of the forces in group B1–4

37

Fx^#

1.09 ± 0.69^◆▼★

-0.20 ± 0.68^▲

-0.33 ± 0.26^▲★

0.33 ± 0.23^▲▼

Fy^#

0.91 ± 1.32

0.57 ± 0.72^★

1.23 ± 1.00

1.68 ± 0.32^◆

Fz^#

0.82 ± 0.98

0.52 ± 1.03

0.50 ± 1.81

0.34 ± 0.29

36

Fx^#

2.69 ± 0.98

1.52 ± 1.55

1.06 ± 0.79

0.57 ± 0.67

Fy^&

0.47 ± 0.62^◆▼★

2.12 ± 1.21^▲

1.88 ± 1.23^▲

2.17 ± 1.27^▲

Fz^#

-0.79 ± 1.42

-2.31 ± 1.81^★

-2.74 ± 1.58^★

-0.46 ± 0.45^◆▼

35

Fx^#

-2.80 ± 1.00^★

-3.79 ± 1.26^★

-3.24 ± 0.76^★

-0.67 ± 0.70^▲◆▼

Fy^#

0.32 ± 0.45^◆

2.02 ± 0.39^▲

1.03 ± 1.62

1.04 ± 1.81

Fz^#

-2.91 ± 1.39^◆★

-0.88 ± 0.38^▲

-1.51 ± 1.35

-0.57 ± 0.21^▲

33

Fx^&

-0.82 ± 0.76^★

-0.44 ± 0.55^★

-1.39 ± 1.09^★

-2.01 ± 0.53^▲◆▼

Fy^&

-1.28 ± 0.57^◆

-2.19 ± 0.67^▲▼★

-1.02 ± 0.92^◆

-1.20 ± 0.95^◆

Fz^#

-0.69 ± 0.39

-0.84 ± 1.00

-0.70 ± 0.56

-1.34 ± 1.62

32

Fx^&

0.42 ± 0.63^★

0.37 ± 0.61^▼★

0.83 ± 0.59^◆★

1.62 ± 0.73^▲◆▼

Fy^&

-1.35 ± 0.26^◆▼

-0.57 ± 0.36^▲▼★

0.07 ± 0.49^▲◆★

-1.30 ± 0.57^◆▼

Fz^&

0.14 ± 0.41

0.07 ± 0.34

0.15 ± 0.49

0.25 ± 0.78

31

Fx^&

0.14 ± 0.41

0.07 ± 0.34

0.15 ± 0.49

0.25 ± 0.78

Fy^&

-0.19 ± 0.22

-0.14 ± 0.19

0.04 ± 0.17

-0.19 ± 0.29

Fz^#

0.07 ± 0.20

-0.05 ± 0.13^★

0.12 ± 0.82

0.46 ± 0.44^◆

41

Fx^&

0.13 ± 0.28

0.05 ± 0.29

0.13 ± 0.39

0.15 ± 0.26

Fy^&

0.31 ± 0.36^▼★

0.11 ± 0.31^★

-0.03 ± 0.29^▲

-0.20 ± 0.15^▲◆

Fz^&

0.16 ± 0.16

0.06 ± 0.15^★

0.17 ± 0.12

0.31 ± 0.15^◆

42

Fx^&

0.34 ± 0.34^★

0.28 ± 0.88^★

0.57 ± 0.26^★

1.03 ± 0.57^▲◆▼

Fy^&

0.88 ± 0.36^▼

1.01 ± 0.40^▼

0.19 ± 0.30^▲◆★

0.62 ± 0.40^▼

Fz^&

0.50 ± 0.90

0.27 ± 0.41

0.52 ± 0.58

0.98 ± 0.85

43

Fx^&

-0.78 ± 0.57^★

-0.44 ± 0.48^★

-0.92 ± 0.93^★

-1.86 ± 1.05^▲◆▼

Fy^&

1.23 ± 0.46^◆

2.41 ± 0.78^▲

1.43 ± 1.20

1.86 ± 1.06

Fz^#

-0.58 ± 0.82

-0.33 ± 0.37

-0.45 ± 0.59

-0.94 ± 1.25

45

Fx^&

-0.19 ± 0.85^▼

-0.28 ± 0.56^◆

0.67 ± 0.73^▲◆★

-0.12 ± 0.21^▼

Fy^#

-0.66 ± 0.30^◆▼★

-2.23 ± 0.76^▲

-1.76 ± 0.95^▲

-2.00 ± 0.41^▲

Fz^#

-1.08 ± 0.64

-1.11 ± 1.08

-2.00 ± 2.27

-0.68 ± 0.43

46

Fx^#

-0.92 ± 0.85^★

-0.62 ± 1.10

-0.81 ± 0.52^★

0.04 ± 0.28^▲▼

Fy^#

-0.50 ± 1.10^◆▼★

-4.17 ± 0.96^▲

-2.73 ± 0.70^▲

-3.58 ± 3.29^▲

Fz^#

-0.98 ± 0.66^★

-0.44 ± 1.10

-1.22 ± 5.41

-0.11 ± 0.34^▲

47

Fx^#

0.90 ± 0.53^▼

0.32 ± 1.03

0.31 ± 0.31^▲★

1.05 ± 0.11^▼

Fy^#

-0.45 ± 0.94^★

-2.07 ± 1.17

-0.91 ± 2.56

-2.07 ± 0.54^▲

Fz^#

-0.56 ± 0.55

0.89 ± 1.59

0.67 ± 0.78

0.69 ± 0.31