LogMAR, or logarithm of the minimum angle of resolution, represents a method for quantifying visual acuity. It converts Snellen fractions (e.g., 20/20, 20/40) into a logarithmic scale, providing a more statistically valid representation of vision. The calculation involves taking the base-10 logarithm of the minimum angle of resolution, expressed in minutes of arc. For example, a Snellen acuity of 20/20 corresponds to a LogMAR value of 0, as the angle of resolution is 1 minute (log10(1) = 0). A 20/40 acuity translates to a LogMAR value of 0.3, reflecting a doubling of the minimum angle of resolution (log10(2) 0.3).
The use of a logarithmic scale addresses the non-linear nature of the Snellen scale. This is crucial for accurate statistical analysis and comparison of visual acuity measurements, particularly in research and clinical trials. Traditional Snellen fractions present unequal intervals between lines of acuity, making it difficult to analyze changes or differences in vision. The logarithmic transformation ensures equal intervals, allowing for more meaningful comparisons and a more sensitive detection of changes in visual function. This also provides a better way to account for low vision which is difficult to measure with Snellen fractions.