The MD was determined as the average of the point-wise deviations from the normal database over all locations, with a positive value indicating loss. At each location we also calculated the 5% and 95% confidence limits (90% confidence interval) for our controls. Points that were abnormally low and exceeded the 5% confidence limit were averaged to give the PD.
As our subjects were matched for age with most within the same decade (AMD, 69.4 ± 6.2 years; control subjects 68.9 ± 5.4 years), we did not adjust our summary statistics for age. In addition, we do not believe that adjusting for age would have yielded stronger effects, as ageing has its greatest effect in peripheral locations.
35
The number of statistically abnormal points (beyond the 5% confidence limit) was also chosen as a method of assessing field loss, because it is commonly used in a clinical setting when making qualitative judgments and has been successfully applied to compare visual field results.
29 Binomial statistics can be used to predict the number of points that can be expected to lie beyond the 5% limit by chance and still belong to a normal field. Assuming points are independent, then the probability that
n points of a total of
N tested (
N = 48 in our case) being found beyond the 5% confidence limit is returned by
\[P(n)\ {=}\ _{N}C_{n}\ {\cdot}\ {\alpha}^{n}\ {\cdot}\ (1\ {-}\ {\alpha})^{N{-}n}\]
where α is the probability that an individual point will fall beyond the confidence limit and still belong to the normal population,
n is the number of abnormal points,
N is the total number of test points in the field and
C is the number of combinations comprising
n points, for sample size
N, in which order is not important.
Equation 2 gives the cumulative probability that
n or more points fall outside the confidence limits and still belong to a normal population.
\[P(\mathrm{cum})\ {=}\ 1\ {-}\ {{\sum}_{n}^{N}}\ P(n)\]
Solving
Equation 2 shows that a visual field can be considered abnormal (
P < 0.02) if four or more points lie beyond the 5% limit.