Analysis Guide

Ricketts Cephalometric Analysis: Facial Axis, Convexity & the Full Measurement Set

Ricketts analysis introduced the facial axis — one of the most clinically powerful measurements in cephalometrics — and built a comprehensive skeletal and dental assessment around it. This guide covers all major Ricketts measurements with norms, the unique landmark set required, and how each value integrates into orthodontic diagnosis.

By Bayan Healthcare Analytics · Updated · 10 min read

What Is Ricketts Analysis?

Robert M. Ricketts developed his cephalometric analysis through the Rocky Mountain Data Systems (RMDS) project, which processed thousands of cephalograms to identify reliable predictors of growth and treatment outcomes. The resulting analysis is one of the most comprehensive in orthodontics — it includes over 30 measurements in its full form, covering skeletal pattern, dental relationships, soft tissue profile, and even aesthetic balance.

The analysis is anchored by two unique features. First, the facial axis — the line from the PT point (at the pterygomaxillary fissure) to Gnathion — replaces the Y-axis as the primary descriptor of mandibular position and growth direction. The facial axis angle formed with the Ba-N line (cranial base) is remarkably stable across growth, making it one of the most reliable cephalometric measurements for long-term prediction. Second, Ricketts was among the first to adjust norms for age, recognising that skeletal and dental measurements change predictably during growth.

BCeph implements the core Ricketts measurements — the skeletal set and primary dental measurements — sufficient for a complete orthodontic diagnosis. For an overview of how Ricketts fits into the full diagnostic toolkit, see the cephalometric analysis guide. For comparison with the Steiner analysis approach, the key distinction is Ricketts' use of the Ba-N cranial base plane versus Steiner's SN plane.

Ricketts Measurements — Norms and Interpretation

Measurement Category Mean Norm SD High Value Low Value
Facial Axis (PT-Gn to Ba-N) Skeletal 90° ± 3.5° >90° = Anterior rotation <90° = Posterior rotation
Facial Depth (FH to N-Pog) Skeletal 87° at age 9 ± 3° Prognathic mandible Retrognathic mandible
Mandibular Plane Angle (FH–Go-Gn) Skeletal 26° at age 9 ± 4° Hyperdivergent Hypodivergent
Lower Facial Height (ANS-Xi-Pm) Skeletal 47° ± 4° Increased lower face height Decreased lower face height
Mandibular Arc (Dr-Xi to Xi-Pm) Skeletal 26° ± 4° Increased arc = anterior rotation Decreased arc = posterior rotation
Convexity (A to N-Pog) Skeletal +2 mm at age 9 ± 2 mm Convex / Class II profile Flat/concave / Class III
Lower Incisor Protrusion (L1 to APog) Dental +1 mm ± 2 mm Proclined / protruded L1 Retruded / upright L1
Lower Incisor Inclination (L1 to APog) Dental 22° ± 4° Proclined lower incisor Retroclined lower incisor
Upper Incisor to FH (U1-FH) Dental 111° ± 6° Proclined upper incisor Retroclined upper incisor
Molar Relation (U6 to PTV) Dental (Age ÷ 2) + 3 mm ± 3 mm Distal molar position Mesial molar position
Interincisal Angle (U1-L1) Dental 130° ± 10° Retroclined incisors Proclined / bimaxillary protrusion

Norms from Ricketts (1960–1972). Age-adjusted norms apply to facial depth (grows ~0.33°/yr) and mandibular plane angle (decreases with growth). Convexity norm decreases ~0.2 mm/yr. Molar relation norm increases with age.

U1 to FH angle: The norm of 111° exceeds 90°, which means measurements using the acute angle between lines would give incorrect results. BCeph uses the full angle between line directions (not the acute-capped version) to compute U1 to FH correctly — a common source of error in manual implementations and some digital tools.

Landmarks Required for Ricketts Analysis

Ricketts analysis requires several unique landmarks not used in other analyses — particularly the PT point and Xi point. These require careful radiographic interpretation but are critical for the facial axis and lower facial height measurements respectively.

Ba
Basion
Most anteroinferior point of the foramen magnum on the clivus. Paired with Nasion to define the Ba-N cranial base plane — the primary reference for the facial axis angle. Requires careful identification on the cranial base in the midline.
PT
PT Point
Located at the intersection of the floor of the foramen rotundum with the posterior wall of the pterygomaxillary fissure. The superior origin of the facial axis line (PT-Gn). Unique to Ricketts analysis — requires identification of the pterygomaxillary fissure outline.
Xi
Xi Point
Geometric centre of the ramus of the mandible, constructed as the intersection of bisecting lines through the ramus bounding box. Used for the lower facial height (ANS-Xi-Pm) and mandibular arc (Dr-Xi to Xi-Pm) measurements. Must be constructed — it is not a directly visible landmark.
Pm
Protuberance Menti (Pm)
The point of curvature change on the anterior symphysis — where the chin curvature transitions to the symphyseal contour. Used in the lower facial height (ANS-Xi-Pm) angle measurement.
PTV
Pterygoid Vertical (PTV)
A constructed vertical plane through the most posterior point of the pterygomaxillary fissure, perpendicular to the Frankfort Horizontal. The reference from which the upper molar position is measured (U6 to PTV).
N, Pog, ANS, Gn
Standard Landmarks
Nasion, Pogonion, ANS, and Gnathion are used as in other analyses. Nasion-Pogonion defines the facial plane for the convexity measurement; ANS and Gnathion are endpoints in facial height measurements.
Go, Me
Gonion & Menton
Gonion and Menton define the mandibular plane (Go-Gn or Go-Me) used for the mandibular plane angle. Shared with Björk-Jarabak and Downs analysis landmark sets.
U1, L1, U6
Incisor Tips & Upper Molar
U1 incisal tip and root apex for the U1-FH angle; L1 tip and apex for lower incisor protrusion and inclination to A-Pog; the buccal cusp tip of the upper first molar (U6) for the molar relation measurement.

Clinical Interpretation of Ricketts Analysis

The Facial Axis as a Growth Predictor

The facial axis angle (PT-Gn to Ba-N) is stable at approximately 90° across growth — deviations from 90° reflect a structural feature of the craniofacial complex, not a transient developmental state. An angle above 90° means Gnathion lies forward of the perpendicular to Ba-N, indicating an anteriorly-rotated mandible — characteristic of a short-face, deep bite pattern. An angle below 90° indicates a posteriorly-rotated, long-face, open bite tendency.

Because the facial axis is stable with growth, a patient with a 93° facial axis at age 10 is expected to maintain that anterior rotation tendency into adulthood. This makes the facial axis highly valuable for long-term treatment planning — it informs the clinician about what the patient's face is structurally predisposed to do, not just its current state.

Convexity and Skeletal Pattern

Ricketts convexity measures the perpendicular distance from A point to the N-Pog facial plane. Unlike the Downs angle of convexity (which measures the angle at A point), Ricketts convexity is a linear measurement in millimetres. Positive values (A anterior to N-Pog) indicate a convex, Class II skeletal profile. Values at or below 0 mm indicate a Class I or Class III flat/concave profile. The age adjustment (−0.2 mm per year from age 9 onwards) reflects normal forward growth of the chin relative to A point during adolescence.

Lower Incisor Position: Protrusion vs Inclination

Ricketts' separate measurement of lower incisor protrusion (distance) and inclination (angle) relative to the A-Pog line allows clinicians to distinguish between a lower incisor that is tilted forward (high inclination, normal protrusion) versus one that has bodily moved forward (high protrusion, possibly normal inclination). This distinction matters clinically: bodily protrusion has different soft tissue implications and stability characteristics than axial inclination change. Cross-reference with the Tweed IMPA and Downs IMPA measurements for a complete lower incisor diagnostic picture.

Run Ricketts Analysis Free in BCeph

BCeph implements the full core Ricketts measurement set including the facial axis angle (using the full angle between line directions, not the acute-capped version), convexity, mandibular plane, lower facial height, and all dental measurements. The U1-FH angle is computed correctly at approximately 111° — a value that requires the full angle calculation rather than the acute-angle clipping used in some implementations.

The PT point, Xi point, and PTV are supported in BCeph's landmark set. Landmark placement assistance is provided in the tool's interface for the more complex constructed landmarks. All data stays on your device throughout the session.

Frequently Asked Questions

What is the Ricketts cephalometric analysis?
Ricketts analysis is a comprehensive cephalometric system developed by Robert M. Ricketts using the Rocky Mountain Data Systems database. It assesses skeletal and dental relationships using the cranial base (Ba-N) and PT-Gnathion facial axis as primary references. The analysis includes age-adjusted norms, making it one of the most growth-sensitive cephalometric systems in clinical use.
What is the facial axis angle?
The facial axis is the line from the PT point (pterygomaxillary fissure) to Gnathion. The facial axis angle is measured between this line and the Ba-N cranial base. The norm is 90° ± 3.5°. Above 90° = anterior rotation (hypodivergent tendency); below 90° = posterior rotation (hyperdivergent tendency). The facial axis is stable with growth, making it a reliable long-term growth predictor.
What is the normal convexity in Ricketts analysis?
Convexity (perpendicular distance from A point to N-Pog facial plane) norms +2 mm ± 2 mm at age 9, decreasing by ~0.2 mm per year with growth. Positive convexity = Class II tendency (A point anterior to facial plane); negative convexity = Class III (A point posterior). Adult norm is approximately 0–1 mm.
What is the lower incisor position in Ricketts analysis?
Ricketts evaluates the lower incisor relative to the A-Pog line in two dimensions: protrusion (perpendicular distance from incisal tip to A-Pog, norm +1 mm ± 2 mm) and inclination (long axis angle to A-Pog, norm 22° ± 4°). This distinguishes bodily protrusion from axial proclination — clinically distinct conditions with different treatment implications.
Can I run Ricketts analysis for free?
Yes. BCeph includes a complete Ricketts analysis module at no cost. All measurements including the facial axis are calculated automatically from landmark positions. No installation, no cloud upload, no subscription.

Run Ricketts Analysis Free in BCeph

Facial axis, convexity, lower incisor position — all computed instantly. No subscription. No data leaves your device.

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