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Reference Guide

Binocular Vision Normative Values

Comprehensive reference of normative values for binocular vision assessment. Evidence-based standards for phoria, vergence, accommodation, stereoacuity, and eye movements. Clinical interpretation guidelines and treatment protocols for optometry practice worldwide.

OVERVIEW

Binocular Vision Assessment

This comprehensive reference guide provides evidence-based normative values for binocular vision assessment in optometric practice. These standards are compiled from peer-reviewed research and clinical data spanning multiple decades of investigation.

Key Assessment Areas: Phoria measurements, vergence facility and ranges, accommodation function, stereoacuity, pupillary responses, and ocular motility parameters.

MASTER REFERENCE

Binocular Vision Normative Values

Morgan's Norms

Morgan's NormsPhoriaABDuction (BI or NRV)ABDuction (BO or PRV)— BOPInfra (BU)Supra (BD)NRA/PRA
6 M0-2 XPx/5/37/15/83/13/1
40 cm0-6 XP11/19/1014/18/7+1.75 / -1.75

Clinical Reference Values

Test / MeasurementNormal Values & Notes
NPAMin = 15 – (age ÷ 4) ; 2.00D below norm is abnormal
NPC<6 cm (≥ 6 cm and/or regression w/ repeat PU might indicate a convergence problem)
Stereoacuity≤ 40 sec
Versions (EOM)SAFE (Smooth, Accurate, Full, Extensive)
PupilsPERRL-A (Pupils Equal, Round, Reactive to Light – and Accommodation)
Calculated AC/A5/1 (< 3/1 is low, > 7/1 is high) — proximal convergence accounts for calc AC/A to be higher AC/A = PDcm + (Hn – Hd)(0.4)
Gradient AC/A4/1 (5/1 is high) — lag of accommodation (under-accommodate for 40cm) accounts for gradient AC/A to be lower
Tonometry10 – 21 mmHg (15 to 16 ≈ mmHg)
Normal diurnal variation: 3–6 mmHg
FlippersMonocular: 12 cpm Adults: ≥ 13 yo ±1.50D @ 40 cm
Binocular: 8 cpm Children: < 13 yo ±2.00D @ 33 cm
MEM Ret+0.50 to +1.00D LAG
X-cylMonocular: +1.00 (any other value is NOT normal)
Binocular: +0.50 (any other value is NOT normal)
NRA/PRAif higher than +2.50 — pt might be over-minused or under-plused
Measurements ≤ 1.50 is considered LOW (abnormal)
Reflex Fusion Stress Test6 BO (10 cycles at 40cm) Mean: 21 +/- 4 sec Expected: <25 sec
6 BI (10 cycles at 40cm) Mean: 22 +/- 3 sec Expected: <25 sec
ExophthalmometryNormal: 16–22 mm Asian 16 mm; Caucasian 18 mm; Af-Am 20 mm
3 mm between eyes significant
DIAGNOSTIC PROFILES

Binocular Vision Conditions — Clinical Summary

Quick reference guide for diagnosing and treating common binocular vision dysfunctions. Use this table to identify clinical patterns, compare findings across conditions, and determine appropriate treatment approaches.

ConditionCover TestCalc. AC/AAAVergencesNRA/PRAFlippersMEM1° Treatment2° Tx
Convergence
Insufficiency
High exo at nearLow↓ BI (NRV) ↑ BO
(PRV) at distance
↓ NRAFail (+) BAFLow leadBO prism
overall or at
distance only
VT
Convergence Excess
High eso at nearHigh↑ BI (NRV) at near ↓
BO (PRV)
↓ PRAFails (-) BAFLarge lag(+) lenses at
near & BO
overall if eso
VT
BO prism near
Divergence
Insufficiency
High eso at distanceLow↓ BI (NRV) at
distance ↑ BO (PRV)
↓ NRAFails (-) BAFLarge lagVTBO prism
Divergence Excess
High exo at distanceHigh↑ BI (NRV) at near ↓
BO (PRV)
↓ PRAFails (-) BAFVTBI prism
overall
(-) lenses at
distance BI prism
Basic Esophoria
Eso similar at near &
dist
↓ BI (NRV) at near ↑
BO (PRV)
↓ PRAFails (-) BAFLarge lagBO prism
overall
(+) lenses VT BI
prism overall
Basic Exophoria
Exo similar at near &
dist
↓ BO (PRV)↓ NRAFails (+) BAFLow leadVTBI prism overall
Vergence
Dysfunction
↓ BI&BO
NRA/PRA
Fails (+)/(-)
Accommodative
Insufficiency
↓ AA↓ BO (PRV) at near
(?)
↓ PRAFails (-) B&MLarge lag(+) lensesVT
Ill-Sustained
Accommodation
↓ AA with
multiple PU at
near (?)
↓ BO (PRV) ↑ BO &
BI at near (?)

NRA/PRA
Fails (-) B&M
over time
Large lag,
fatigued
(+) lensesVT
Accommodative
Infacility
↑ BI (NRV) ↓ BO & BI
at near (?)
↓ NRAFails (+)/(-)
B&F
Low leadVT(+) lenses
Accommodative
Spasm
↓ NRAFails (+) B&MLow leadVT(+) lenses
Cycloplegia

Key Abbreviations: AA = Amplitude of Accommodation • BAF = Binocular Accommodative Facility • B&F = Binocular & Facility • B&M = Binocular & Monocular • BI = Base In • BO = Base Out • NRA = Negative Relative Accommodation • NRV = Negative Relative Vergence • PRA = Positive Relative Accommodation • PRV = Positive Relative Vergence • PU = Push-up • VT = Vision Therapy • MEM = Monocular Estimate Method

References & Further Reading

Primary Literature

[1]Scheiman, M., & Wick, B. (2020). Clinical Management of Binocular Vision: Heterophoric, Accommodative, and Eye Movement Disorders (5th ed.). Lippincott Williams & Wilkins.
[2]Convergence Insufficiency Treatment Trial Study Group. (2008). Randomized clinical trial of treatments for convergence insufficiency in children. Archives of Ophthalmology, 126(10), 1336-1349.
[3]Rouse, M. W., et al. (1999). Validity and reliability of the revised convergence insufficiency symptom survey in adults. Ophthalmic and Physiological Optics, 19(2), 172-178.
[4]Hofstetter, H. W. (1944). A comparison of Duane's and Donders' tables of the amplitude of accommodation. American Journal of Optometry and Archives of American Academy of Optometry, 21(9), 345-363.

Clinical Guidelines

[5]American Optometric Association. (2020). Optometric Clinical Practice Guideline: Care of the Patient with Accommodative and Vergence Dysfunction. AOA Publications.
[6]Cooper, J., & Jamal, N. (2012). Convergence insufficiency—a major review. Optometry, 83(4), 137-158.
[7]Hennessey, D., Iosue, R. A., & Rouse, M. W. (1984). Relation of symptoms to accommodative infacility of school-aged children. American Journal of Optometry and Physiological Optics, 61(3), 177-183.

Assessment Methods

[8]Rodriguez, C. M., & Rouse, M. W. (2007). Validity and reliability of the Haynes distance rock test. Optometry and Vision Science, 84(11), 1039-1045.
[9]Zellers, J. A., Alpert, T. L., & Rouse, M. W. (1984). A review of the literature and a normative study of accommodative facility. Journal of the American Optometric Association, 55(1), 31-37.
[10]Maples, W. C., & Hoenes, R. (2007). Near point of convergence norms measured by the Gulden fixation disparity test. Optometry and Vision Science, 84(1), 24-30.

Normative Data Studies

[11]Jiménez, R., Pérez, M. A., García, J. A., & González, M. D. (2004). Statistical normal values of visual parameters that characterize binocular function in children. Ophthalmic and Physiological Optics, 24(6), 528-542.
[12]Adler, P., Scally, A. J., & Barrett, B. T. (2012). Repeatability of the modified thorington test. Ophthalmic and Physiological Optics, 32(6), 477-486.
[13]Antona, B., Barrio, A., Barra, F., González, E., & Sánchez, I. (2008). Repeatability and agreement in the measurement of horizontal fusional vergences. Ophthalmic and Physiological Optics, 28(5), 475-491.

Additional Resources

Professional Organizations

  • • College of Optometrists in Vision Development (COVD)
  • • Optometric Extension Program (OEP)
  • • American Academy of Optometry (AAO)

Key Journals

  • • Optometry and Vision Science
  • • Ophthalmic and Physiological Optics
  • • Journal of Behavioral Optometry