All visual field tests were performed with an automated visual field analyzer (Humphrey Field Analyzer; Carl Zeiss Meditec, Inc., Dublin, CA, USA) with a 24-2 test pattern, size III white stimulus with the Swedish Interactive Threshold Algorithm standard strategy. Adequate reliability was defined as less than 15% fixation losses, less than 15% false-positive rates, and less than 30% false-negative rates. The technique of measuring rates of visual field decay has been reported in detail,
22,23 and is summarized here. Rates of visual field decay were calculated with a pointwise exponential regression analysis of threshold sensitivities at 52 test locations, excluding the 2 locations corresponding to the blind spot. The association between the response variable (threshold sensitivity) and the explanatory variable (follow-up duration) was characterized by the following exponential regression models:

or, equivalently,

where
a is the intercept,
x is time,
b is the mean annual rate of change in ln
y, and
eb represents the ratio of
y in a given year to
y in the year before. The decay rate is defined as

To facilitate an intuitive clinical understanding of the magnitude of decay rates, the coefficients of the exponential regressions were converted into percentage per year deterioration rates, where the percentage per year decay rate is

the more negative decay rate indicates a faster deterioration of perimetric sensitivities. The 52 visual field test locations were ranked according to their decay rates and were clustered into 2 subgroups (SC and FC) based on the
P value for the difference in the mean rates between 2 clusters. For each possible partition, starting with a minimum number of 5 locations in a cluster, we computed a
t-test statistic, and the corresponding
P values were adjusted for multiple testing. Because multiple simultaneous
t-tests were performed, it is desirable to correct the
P values to control for false-positive results. Accordingly, the Benjamini-Hochberg correction was used to adjust the
P values for multiple testing.
29 The SC and FC values are unique for each eye; the mean slow and fast decay rates were calculated for the partitioned components during the follow-up period. To obtain the mean threshold sensitivities in SC and FC, the threshold sensitivity in dB unit at each of 52 visual field locations was first converted to linear (1/Lambert) scale with the following formula;

Then, values from all test points within SC or FC were averaged for each eye. The average visual sensitivity per SC or FC was converted back to the dB scale for the analysis. The MD and VFI values also were analyzed with univariate linear regression analyses against time. Eyes with a significant negative trend (slope ≤ −0.3 and
P < 0.05) on regression analysis of MD against time were considered to have progressive visual fields. A MD slope of −0.3 dB/y was chosen as a conservative estimate of cutoff for visual field worsening because a previous study reported that mean MD rate ranged from −0.21 to −0.35 dB/y in patients with glaucoma.
30 Also, this rate represents a value that is approximately 10 times the magnitude of change due to age alone, a quantity that has been used in many prior studies.
30–34