Percival’s criterion
Percival’s criterion is a rule for judging whether a horizontal heterophoria is likely to be comfortable. For comfort, the working fixation point should lie in the middle third of the total fusional amplitude, found by adding the divergent to the convergent blur points.1 Put another way, the opposing fusional reserves should be balanced so that neither is less than half the other.1
Percival’s criterion ignores the size of the phoria. Sheard’s criterion, by contrast, relates the phoria to its opposing blur point.1 Percival’s criterion seems appropriate for near vision only, because normal distance values do not follow the middle-third rule.1
Percival also developed the criterion as a guideline for prescribing prism. The clinician calculates the prism needed to place the patient in the middle third of the vergence range, and a result of zero or less means no prism is required.2 In graphical analysis, the prescribed prism places the Donders line in the middle third of the graph.3 Little clinical research supports the criterion, although studies suggest it is most effective with esophoria.2
More detail
In one worked example, a patient with 12 prism diopters of exophoria, base-out vergence of 6/9/6 and base-in vergence of 18/24/21 needs 2 prism diopters base-in. A patient with 4 prism diopters of exophoria, base-out vergence of 21/24/18 and base-in vergence of 18/24/21 needs no prism, because the calculation gives a negative number.2
Sources (9)
- Pickwell's Binocular Vision Anomalies, ch. 4
- Scheiman and Wick, Clinical Management of Binocular Vision, ch. 3
- Care of the Patient with Accommodative and Vergence Dysfunction (AOA Optometric Clinical Practice Guideline)
- Bade, A., Boas, M., Gallaway, M., Mitchell, G.L., Scheiman, M., Kulp, M.T., Cotter, S. and Rouse, M. 2013. Relationship between clinical signs and symptoms of convergence insufficiency. Optometry and Vision Science, 90(9), pp.988-995.
- Evans, B.J. 2007. Pickwell's binocular vision anomalies. 5th ed. Edinburgh: Butterworth-Heinemann Elsevier.
- Melville, A.C. and Firth, A.Y. 2002. Is there a relationship between prism fusion range and vergence facility? British Orthoptic Journal, 59, pp.38-44.
- Rutstein, R. and Daum, K. 1997. Anomalies of Binocular Vision: Diagnosis & Management. St. Louis: Mosby.
- Scheiman, M. and Wick, B. 2014. Clinical management of binocular vision: heterophoric, accommodative, and eye movement disorders. 4th ed. Philadelphia: Lippincott Williams & Wilkins.
- Sheedy, J.E. and Saladin, J.J. 1983. Validity of diagnostic criteria and case analysis in binocular vision disorders. American Journal of Optometry and Physiological Optics, 60(7), pp.527-536.
Reviewed October 2026