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ANB angle and Wits appraisal explained: what they measure and why they disagree

Key points

  • The ANB angle and the Wits appraisal both describe the front-to-back relationship of the maxilla and the mandible on a lateral cephalogram.
  • ANB is the angle at nasion between N-A and N-B: SNA minus SNB. Steiner’s value is 2°.
  • The Wits appraisal projects A point and B point onto the occlusal plane and measures the distance between the two projections, AO and BO.
  • In Jacobson’s adults with excellent occlusion, AO and BO coincided on average in females, and BO was 1 mm ahead of AO in males.
  • The two can disagree: ANB changes with the position of nasion, the position of the maxilla and the rotation of the jaws; Wits changes with the tilt of the occlusal plane.

What the ANB angle measures

Two angles at nasion come first. SNA is the angle between the S-N line and the line from nasion to A point. SNB is the angle between S-N and the line from nasion to B point. They describe the front-to-back position of the maxillary and mandibular apical bases relative to S-N, a reference plane used by Riedel [1].

ANB is SNA minus SNB, which is the same as the angle between N-A and N-B. It compares the two apical bases with each other, as seen from nasion. Steiner gave 2° as the mean value [2].

Larger values are usually described as a tendency toward a Class II jaw relationship, and smaller or negative values as a tendency toward Class III. The Steiner analysis article shows ANB with the other Steiner readings.

What the Wits appraisal measures

Jacobson described the Wits appraisal in 1975 as another way to judge how the jaws relate to each other. It avoids nasion: instead, it uses the occlusal plane [3].

  1. Draw the occlusal plane.
  2. Drop a perpendicular from A point to the plane. Where it meets the plane is AO.
  3. Drop a perpendicular from B point to the plane. Where it meets the plane is BO.
  4. Measure the distance from AO to BO along the plane, in millimetres. It is positive when AO lies ahead of BO, and negative when BO lies ahead of AO.

In Jacobson’s sample of adults with excellent occlusion, AO and BO coincided on average in females, and BO was 1 mm ahead of AO in males [3]. These are the reference values Simplified Ceph shows: 0 mm for females and −1 mm for males. Jacobson later reviewed the appraisal in an update [4].

Simplified Ceph reads Wits on the functional occlusal plane, drawn through the cusp overlap of the first molars and of the first premolars.

Schematic tracing with the points S, N, A and B, the lines S-N, N-A and N-B, the angle ANB at nasion, the occlusal plane, and the perpendiculars from A and B to the plane, which meet it at AO and BO. The distance from AO to BO is the Wits reading. S N A B AO BO ANB Wits Occlusal plane S-N
Figure 1. ANB is the angle at nasion between N-A and N-B. Wits is the distance from AO to BO, the feet of the perpendiculars from A and B on the occlusal plane. A schematic drawing; the angle and the distance are larger than average to make them easy to see.

Reading them side by side

Both readings answer the same question: how far is A point ahead of or behind B point? ANB answers it as an angle at nasion. Wits answers it as a distance along the occlusal plane.

When both are close to their reference values, or both are well above, or both well below, they agree. When one is close to its reference value and the other is not, at least one of them is being changed by something other than the relationship between the jaws. The next section explains what can do that. Neither reading is a diagnosis on its own.

Why ANB and Wits can disagree

The position of nasion

ANB is measured at nasion. If nasion lies further forward or further back, the angle changes, although A and B have not moved. Hussels and Nanda described the front-to-back position of nasion as one of the factors that change ANB [5]. Wits does not use nasion, so it does not change.

The position of the maxilla

Freeman showed that the position of the maxilla relative to the cranial base affects ANB on top of the relationship between the apical bases, and that the two effects can cancel each other or add up [6]. So the same ANB can come from different combinations of maxillary position and jaw relationship.

The inclination of the jaws

Hussels and Nanda also described how ANB depends on geometric factors, including the position of nasion, rotation of the jaws, facial height and dental height [5]. Part of this is simple geometry: the further A and B lie from nasion, the smaller the angle that the same front-to-back distance between them makes at nasion.

The occlusal plane

Wits depends on the occlusal plane. A and B lie one above the other, so when the plane tilts, AO and BO slide along it by different amounts (Figure 2). In geometric terms, the Wits reading equals the distance from A to B multiplied by the cosine of the angle between the line A-B and the occlusal plane. The plane is drawn through the teeth, so the position of the teeth affects the reading as well as the jaws. ANB does not use the occlusal plane at all.

The same A and B points with two occlusal planes at different tilts. On the first plane, the projection of A lies ahead of the projection of B. On the second, steeper plane, the order is reversed. Plane 1: AO ahead of BO Plane 2: BO ahead of AO A B N-A N-B
Figure 2. The same A and B, two occlusal planes. On plane 1, AO lies ahead of BO and Wits is positive. On the steeper plane 2, BO lies ahead of AO and Wits is negative. ANB is the same in both. A schematic drawing; the tilt is exaggerated.

Worked example

This example is a drawing, not a patient. We placed S, N, A and B on a schematic tracing with S-N 70 mm long: SNA 82° and SNB 79°, so ANB is 3°. With the occlusal plane at 14° to S-N, Wits is +0.8 mm. Then we changed one thing at a time, left A and B where they were, and measured again.

ChangeSNASNBANBWits
Starting drawing82.0°79.0°3.0°+0.8 mm
Nasion 5 mm further forward76.9°76.1°0.8°+0.8 mm
Nasion 5 mm further back87.2°82.0°5.2°+0.8 mm
Occlusal plane 5° steeper (19° to S-N)82.0°79.0°3.0°−2.7 mm
Occlusal plane 5° flatter (9° to S-N)82.0°79.0°3.0°+4.3 mm
  1. Moving nasion alone took ANB from 0.8° to 5.2°, on either side of Steiner’s 2°, while Wits stayed at +0.8 mm.
  2. Tilting the occlusal plane alone took Wits from −2.7 mm to +4.3 mm, on either side of the reference values of 0 and −1 mm, while ANB stayed at 3°.
  3. In this drawing B lies about 39 mm below A, so each 5° of tilt moved the Wits reading by about 3.5 mm.

The jaws never moved, yet each reading could be pushed above or below its reference value. Reading both, and knowing what each depends on, shows which one is likely to be misleading in a given tracing.

Limits

Do this in Simplified Ceph

Simplified Ceph includes the Steiner analysis, with SNA, SNB and ANB, and the Wits appraisal, the AO-BO distance on the functional occlusal plane. You place the landmarks on a lateral cephalogram, and each reading is shown next to its published norm. There is a Free plan for lateral cephalometric analysis.

Educational content for clinicians and students. Reference values vary between populations. This page does not replace clinical judgement.

References

  1. Riedel RA. The relation of maxillary structures to cranium in malocclusion and in normal occlusion. Angle Orthod. 1952;22(3):142-145. doi: 10.1043/0003-3219(1952)022<0142:TROMST>2.0.CO;2
  2. Steiner CC. Cephalometrics in clinical practice. Angle Orthod. 1959;29(1):8-29. Publisher’s page
  3. Jacobson A. The “Wits” appraisal of jaw disharmony. Am J Orthod. 1975;67(2):125-38. doi: 10.1016/0002-9416(75)90065-2. PMID: 1054214
  4. Jacobson A. Update on the Wits appraisal. Angle Orthod. 1988;58(3):205-219. doi: 10.1043/0003-3219(1988)058<0205:UOTWA>2.0.CO;2
  5. Hussels W, Nanda RS. Analysis of factors affecting angle ANB. Am J Orthod. 1984;85(5):411-23. doi: 10.1016/0002-9416(84)90162-3. PMID: 6586080
  6. Freeman R. Adjusting A-N-B angles to reflect the effect of maxillary position. Angle Orthod. 1981;51(2):162-171. doi: 10.1043/0003-3219(1981)051<0162:AAATRT>2.0.CO;2

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