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Snellen Revisited

A. Colenbrander

California Pacific Medical Center
Smith-Kettlewell Eye Research Institute
2340 Clay Street,
San Francisco, CA 94115,
U.S.A.

Purpose

The widespread belief that distance acuity and reading acuity are poorly correlated is counter-intuitive, since both are based on visual angle. This paper will show that there is a correlation and explore factors that may obscure it.

Methods

For reading vision, Snellen’s formula: V = d / D or m / M (viewing distance / letter size) is awkward, since the viewing distance is a fraction-within-a-fraction. If the viewing distance is a fraction of a meter, its reciprocal (known as diopter) is a whole number. Recording the viewing distance in diopters (D) changes Snellen’s formula from V = m / M to 1 / V = M x D, which is much easier to calculate. Use of diopters has the additional advantage that it relates directly to the required reading add.

Results

For 150 patients the letter chart acuity at 1 meter (V = 1 / M) was plotted against the reading acuity (1 / V = M x D). All values follow the diagonal of the plot. In half of the cases the discrepancy was not more than +/- 1 line. In most other cases the magnification need for reading (1 / V) was 2, 3 or sometimes 4 lines greater (visual acuity 4 lines worse). A few cases (3%) with greater discrepancies all had special conditions that explained the discrepancy.

Conclusions

The poor correlation that is often claimed can be mainly attributed to: (1) poor accuracy in near-vision calculations, and (2) differences in criterion (threshold for letter chart acuity vs. comfort for reading acuity).

 

 

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