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As expected, the midsagittal planes constructed by connecting midline structures (1 3) resembled the morphometric plane more closely in the symmetric group; however, the mean differences were still more than 1.00 mm.

Although the mean differences between this plane and the morphometric plane were less than 1.00 mm for most measurements, the standard deviation was often large and significant [ 25].

In addition, the deviation from point N to the morphometric plane was also measured.

The AE was defined as the reference (morphometric) midsagittal plane values subtracted by the cephalometric midsagittal plane value.

The results of the error study (Table  2) validated the morphometric midsagittal plane and confirmed its accuracy and reliability previously reported [ 15, 18– 20].

However, we found that the mean deviation of point N from the morphometric midsagittal plane was less than 0.50 mm in both groups suggesting its suitability as reference point in both groups.

In addition, other advantages of a morphometric midsagittal plane further justify its use.

The values from midsagittal planes constructed as perpendiculars to the FH plane showed the least differences from the morphometric values.

Start planing the first corner.

The morphometric traits of the subgroups also varied.

In both groups, the values of the midsagittal planes (4 and 5) constructed as perpendiculars to the FH plane were clinically the most accurate in resembling the morphometric values.