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. Author manuscript; available in PMC: 2012 Jun 1.
Published in final edited form as: Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2011 Apr 16;111(6):757–770. doi: 10.1016/j.tripleo.2011.02.002

Table 1.

Probabilities, confidence intervals and prediction intervals for each x, y and z plane for rotation and translation measured for the simulated asymmetries using mirroring in the mid-sagittal plane.

Mid sagittal
plane		 Known
asymmetry
simulation		 6
degrees
of
freedom		 Mean±SD CI(Min-
Max)		 PI(Min-
Max)		 P(| measured
mean-
known|<.5)
Mirror_
translation
1x		 0 Rx 0.00±0.00 (0.00–0.01) (0.00–0.01) 1
0 Ry 0.01±0.01 (0.00–0.01) (−0.02–0.03) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
1 Tx 1.02±0.11 (0.97–1.08) (0.79–1.26) 1
0 Ty 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Tz 0.00±0.00 (0.00–0.01) (0.00–0.01) 1
Mirror_
translation
1x_2z		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.03) 1
0 Ry 0.01±0.01 (0.00–0.01) (−0.01–0.03) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.03) 1
1 Tx 1.03±0.11 (0.97–1.08) (0.79–1.27) 1
0 Ty 0.01±0.00 (0.00–0.01) (−0.01–0.02) 1
2 Tz 2.00±0.01 (1.99–2.00) (1.99–2.01) 1
Mirror_
translation
1z		 0 Rx 0.00±0.00 (0.00–0.01) (−0.01–0.01) 1
0 Ry 0.01±0.02 (0.00–0.02) (−0.02–0.05) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.03) 1
0 Tx 0.08±0.34 (−0.08–0.23) (−0.64–0.80) 0.99
0 Ty 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
1 Tz 1.00±0.00 (0.99–1.00) (0.99–1.01) 1
Mirror_
translation
2x		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Ry 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Rz 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
2 Tx 1.97±0.11 (1.92–2.03) (1.73–2.22) 1
0 Ty 0.00±0.00 (0.00–0.01) (−0.01–0.01) 1
0 Tz 0.00±0.00 (0.00–0.01) (0.00–0.01) 1
Mirror_
translation
2x_1z		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Ry 0.01±0.01 (0.01–0.02) (−0.02–0.04) 1
0 Rz 0.01±0.01 (0.01–0.02) (−0.01–0.03) 1
2 Tx 1.97±0.11 (1.92–2.03) (1.73–2.21) 1
0 Ty 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
1 Tz 1.00±0.00 (0.99–1.00) (0.99–1.01) 1
Mirror_
translation
2z		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Ry 0.01±0.01 (0.00–0.01) (−0.02–0.03) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Tx 0.08±0.34 (−0.08–0.23) (−0.64–0.80) 0.99
0 Ty 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
2 Tz 2.00±0.00 (1.99–2.00) (1.99–2.01) 1
Mirror_
translation
3x		 0 Rx 0.01±0.00 (0.00–0.01) (0.00–0.01) 1
0 Ry 0.01±0.01 (0.00–0.02) (−0.02–0.04) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
3 Tx 2.92±0.34 (2.77–3.08) (2.21–3.64) 0.99
0 Ty 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Tz 0.00±0.00 (0.00–0.01) (−0.00–0.01) 1
Mirror_
translation
3x_3z		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Ry 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Rz 0.01±0.01 (0.00–0.01) (0.00–0.02) 1
3 Tx 2.92±0.34 (2.77–3.08) (2.21–2.64) 0.99
0 Ty 0.00±0.01 (0.00–0.01) (−0.01–0.02) 1
3 Tz 3.00±0.00 (2.99–3.00) (2.99–3.01) 1
Mirror_
translation
3z		 0 Rx 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Ry 0.01±0.01 (0.00–0.02) (−0.02–0.04) 1
0 Rz 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
0 Tx 0.08±0.34 (−0.08–0.24) (−0.64–0.80) 0.99
0 Ty 0.01±0.01 (0.00–0.01) (−0.01–0.02) 1
3 Tz 3.00±0.00 (2.99–3.00) (2.99–3.01) 1