The description of the results included means, standard deviations, and range. Comparisons among groups were made using the unpaired Mann-Whitney test (
U test). Correlations between FDF results and age were tested using a Pearson analysis assuming a linear age effect. Correlations between perimetric defects and RNFL values were examined using Spearman rank order correlations (data from control subjects were excluded from this analysis to avoid an inhomogeneity in the correlation analysis). The RNFL thickness
T (μm) versus perimetric defect data
D (dB) were fitted using a constrained nonlinear regression algorithm with the following function
6 :
in which
TR is the residual thickness of the RNFL,
TA 0 is the difference between
TR and normal RNFL thickness
TN (95.6 μm,
Table 1). The value of
TR was assumed to be 47.2 μm, which was the median of RNFL thicknesses measured in 46 glaucoma eyes showing white-on-white field losses exceeding 15 dB. This value is similar to those reported previously.
6,28 Thus, parameter
TA 0 =
TN −
TR = 48.4 μm. To constrain the fits, these parameters were fixed. The free parameter (
b) quantifies the decrease in RNFL thickness per decibel visual loss. The function (
1) was fitted to the data for which
D ≥ 0. It is assumed that
T = TN when
D < 0; that is, RNFL thickness does not depend on
D for normal subject.
6 The analyses were performed with SPSS (version 19; SPSS, Inc., Chicago, IL). To compare correlation coefficients, we calculated
P values (Fisher
Z-transform) and confidence intervals by bootstrap estimation using the free data analysis environment R (available in the public domain at version 3.0.1,
www.r-project.org). The level of significance was defined as 0.05 in all statistical tests. A Bonferroni correction for multiple testing was used by multiplying the observed
P value with the number of comparisons within each analysis.
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