JOURNAL OF MEDICAL RESEARCH<br />
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CORRELATING OF THE VISUAL FIELD INDEX WITH MEAN<br />
DEVIATION AND PATTERN STANDARD DEVIATION IN<br />
GLAUCOMA PATIENTS<br />
Bui Thi Huong Giang, Pham Thi Kim Thanh<br />
Department of Ophthamology , Hanoi Medical University<br />
The purpose of our study was to evaluate the correlation between the new index - visual field index<br />
(VFI) and mean deviation index (MD) and pattern standard deviation (PSD) in patients with glaucoma.<br />
MD, PSD and VFI were calculated in data about 103 eyes obtained from a cross-sectional study in<br />
103 eyes of 58 patients with mild to severe glaucoma or ocular hypertension. The correlation of VFI<br />
to MD, PSD was evaluated with linear regression models, and the coefficient of determination (r) was<br />
calculated. The result showed that the average values of VFI, MD and PSD were 78.76%, -10.22<br />
dB and 4.56 dB respectively. The VFI and the MD were linearly correlated with r = 0.984. For the<br />
patients with VFIs below 90%, the correlation with the MD was better than for the patients with VFIs<br />
90% and above (r = 0.986 vs 0.571). There was no statistically significant difference in VFI value<br />
between the group with cataract and the group without cataract (p > 0.05) but MD varied significantly<br />
between these two groups (p < 0.05). For the PSD, the correlation for the patients with VFIs 90% and<br />
above was greater than for the patients with VFIs below 90% (r = -0.982 vs -0.196). In conclusion,<br />
VFI was linearly correlated with MD and PSD. VFI seems to be less affected by cataract than MD.<br />
<br />
Keywords: VFI, MD, PSD, visual field.<br />
<br />
I. INTRODUCTION<br />
In management of glaucoma patients,<br />
the visual field (VF) is the most important<br />
tool to determine the stage and progression<br />
of the disease [1]. VF data is summarized<br />
in global summary indices [2] . At this time,<br />
the mean deviation index (MD) and the pattern<br />
standard deviation (PSD) are the standard<br />
indices to evaluate for glaucomatous<br />
damage [3]. The Visual Field Index (VFI) is a<br />
Corresponding author: Bui Thi Huong Giang, Department of Ophthamology, Hanoi Medical University<br />
Email: buihuonggiang@hmu.edu.vn<br />
Received: 03 June 2017<br />
Accepted: 16 November 2017<br />
<br />
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new index, introduced by Bengtsson B and<br />
Heijl A in 2008 [4]. The VFI expresses the<br />
visual function as a percentage of normal<br />
age-corrected sensitivity. Therefore, the VFI<br />
of an eye with a completely normal visual<br />
field is 100% and the VFI of a perimetrically<br />
blind eye is 0%. The VFI was designed using<br />
the Humphrey 30 - 2 and 24 - 2 test point<br />
patterns, which are the most commonly<br />
used patterns in glaucoma management [3].<br />
To avoid effects of cataract on the VFI, the<br />
pattern deviation probability map was used<br />
to identify test points with normal sensitivity<br />
(100%), having absolute defect (0%), and<br />
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those demonstrating relative loss. The<br />
sensitivity at these points were scored using<br />
the following formula:<br />
100 - [(total deviationI/age-corrected<br />
normal threshold) x 100] ,<br />
where |total deviation| is the absolute<br />
value of the numerical total deviation value<br />
and age-corrected normal threshold is<br />
intercept - age coefficient x patient age.<br />
The VFI was also constructed to weigh<br />
the central points of the visual field more<br />
heavily than peripheral points. The VFI is<br />
the mean of all weighed scores in percent.<br />
The test point pattern was divided into five<br />
concentric rings of increasing eccentricity.<br />
Cortical magnification of any given visual<br />
field location is assumed to reflect both<br />
ganglion cell density and the number of<br />
neurons in an area of the visual cortex<br />
responsible for processing a stimulus of a<br />
given size [5]. The weights of the test points<br />
decreased with increasing eccentricity from<br />
3.29, 1.28, 0.79, and 0.57 to 0.45 at the<br />
outermost ring. The VFI is automatically<br />
computed using in the current ‘‘Statpac<br />
software’’ of the Humphrey Field Analyzer<br />
(HFA II; Carl Zeiss Meditec, Inc., Dublin,<br />
California, USA) (Fig.1) [4].<br />
<br />
Figure 1. Visual field of a glaucoma<br />
patient<br />
Mean Deviation (MD) is the average of<br />
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these deviations across all test locations.<br />
Mean defect expresses the difference<br />
between observed and expected mean<br />
sensitivity. MD expresses the overall<br />
reduction in sensitivity, and is therefore<br />
decreased not only by increasing glaucoma,<br />
but also by cataract [6]. Pattern standard<br />
deviation (PSD), a depiction of focal defects,<br />
measures irregularity between the threshold<br />
value for each point and the average visual<br />
field sensitivity at each point . Thus, in<br />
patients with severely damaged visual fields<br />
the value of PSD is too low to be useful as<br />
an indicator of severity of disease [7].<br />
Glaucoma is an ocular disease, in which<br />
characteristic visual field loss corresponds<br />
to the underlying anatomic arrangement<br />
of damaged<br />
retinal<br />
ganglion<br />
cells.<br />
Glaucomatous visual field characterized<br />
by loss is localized defects [8]. To stage<br />
glaucoma, most classification systems use<br />
MD, PSD, and the number of defective<br />
points in the visual field test. However, the<br />
MD is affected by both glaucoma and media<br />
opacities. Thus, cataract or media opacities<br />
can falsely inflate glaucoma severity.<br />
Bengtsson B and Heijl A used the pattern<br />
deviation probability maps in the visual field<br />
test to make the VFI test as resistant as<br />
possible to the effects of media opacities,<br />
while clearly depicting localized loss [4].<br />
There are many studies concerning the VFI<br />
in the world [9;10].<br />
The relationship between VFI and other<br />
visual field indices has not been studied in<br />
Vietnam. The objective of this study was<br />
to evaluate the correlation between VFI<br />
and other visual field indices (MD, PSD) in<br />
glaucoma patients.<br />
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II. SUBJECTS AND METHODS <br />
1. Subjects<br />
Glaucoma patients who agreed to<br />
participate were examined. Patients<br />
performed the 24 - 2 threshold test<br />
(Humphrey SITA standard). The VF tests<br />
with reliability indices (Fixation losses,<br />
False positives, False negatives) > 20%<br />
were excluded.<br />
Inclusion criteria included a clinical<br />
diagnosis of primary glaucoma or ocular<br />
hypertension and absence of other retinal<br />
disease. They had a best corrected visual<br />
acuity (VA) equal to or better than 20/60 and<br />
refractive error within ± 5.00 D sphere and ±<br />
3.00 D astigmatism.<br />
2. Methods<br />
This cross-sectional study was performed<br />
between December 2015 and April 2016 at<br />
Glaucoma department, Vietnam National<br />
Institute of Ophthalmology.<br />
To calculate the sample size of this crosssectional study, we assumed that the rate of<br />
visual field loss in glaucoma patients was<br />
85% [6]. The following formula was used:<br />
N = [(Z 1-α/2)2 p.q] / d2. To achieve 95%<br />
confidence intervals (CIs) and 7% error, 103<br />
eyes from 58 patients were examined.<br />
The MD was calculated as the weighted<br />
<br />
mean of the total deviation values, and<br />
the weight assigned to each location was<br />
the inverse of the variance in the healthy<br />
reference group. The PSD was determined<br />
by comparing the differences between<br />
adjacent points [2]. The VFI was calculated<br />
as described by Bengtsson and Heijl. At<br />
each location, the measured sensitivity was<br />
expressed as a percentage of the sensitivity<br />
expected in a healthy observer of the same<br />
age, and the VFI was calculated as the<br />
weighted mean of all locations with pattern<br />
deviation probability outside normal limits<br />
(< 5%) [11].<br />
The relationship between VFI, MD, and<br />
PSD was described with linear regression<br />
analysis. VFI was treated as the dependent<br />
variable; MD and PSD were treated as<br />
independent variables in all regressions. To<br />
evaluate the relationship between variables<br />
from a single patient, the correlation<br />
coefficient (r) was calculated by SPSS 20.0<br />
Statistics.<br />
3. Ethics<br />
Research subjects were informed<br />
about the goals of the study and voluntarily<br />
agreed to participate. The study was<br />
approved by Vietnam National Institute of<br />
Ophthalmology.<br />
<br />
III. RESULTS<br />
A total of 77 eyes with glaucoma and 26 eyes with ocular hypertension were studied. The<br />
VFI ranged from 100% (normal visual field) to 1%. The MD showed the overall depression<br />
ranged from - 33.56 dB to - 0.93 dB. PSD ranged from 1.03 to 13.35 dB.<br />
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Table 1. Average visual field indices<br />
<br />
Average ± SD<br />
Min - max<br />
<br />
VFI (%)<br />
<br />
MD (dB)<br />
<br />
PSD (dB)<br />
<br />
78.76 ± 28.75<br />
<br />
- 10.22 ± 8.71<br />
<br />
4.56 ± 3.45<br />
<br />
1 – 100<br />
<br />
(- 33.56) – (- 0.93)<br />
<br />
1.03 – 13.35<br />
<br />
Chart 1. Comparison of MD and VFI<br />
Correlation coefficient (r) is 0.984<br />
The two tailed P value is < 0.0001<br />
In single visual fields, there was a close relationship between MD and VFI. A significant<br />
correlation between MD and VFI was shown in all eyes (r = 0.984, P < 0.0001) which was<br />
positive linear. This relationship was described by the equation: VFI = 111.4 + 3.2 x MD (%).<br />
This model predicts VFIs of 92%, 73%, and 47% for visual fields with MDs of − 6, − 12, and −<br />
20 dB, with prediction intervals of approximately ± 8%.<br />
<br />
Chart 2. Comparison of PSD and VFI<br />
Correlation coefficient(r) is -0.667<br />
The two tailed P value is < 0.0001<br />
Chart 2 showed the linear regression between VFI and PSD with r = - 0.667, p < 0.0001.<br />
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Table 2. The correlation between VFI and MD, PSD in the patients with VFI ≥ 90%<br />
and VFI < 90%<br />
VFI (≥ 90%) - MD<br />
<br />
VFI (< 90%) - MD<br />
<br />
VFI (≥ 90%) - PSD<br />
<br />
VFI (< 90%) - PSD<br />
<br />
p<br />
<br />
< 0.001<br />
<br />
< 0.01<br />
<br />
< 0.001<br />
<br />
> 0.05<br />
<br />
R<br />
<br />
0.986<br />
<br />
0.571<br />
<br />
- 0.982<br />
<br />
- 0.196<br />
<br />
The VFI was more closely correlated with MD than it was with PSD. PSD was significantly<br />
correlated observations of VFI ≥ 90%, but not with observations where VFI < 90%<br />
Table 3. MD and VFI average patients without glaucomatous defects<br />
in visual field test<br />
Cataract<br />
<br />
VF index<br />
<br />
MD (dB)<br />
<br />
VFI (%)<br />
<br />
No cataract<br />
<br />
- 3.22 ± 1.28 (26)<br />
<br />
98.73 ± 0.96 (26)<br />
<br />
Cataract<br />
<br />
- 5.34 ± 2.63 (12)<br />
<br />
98.83 ± 0.72 (12)<br />
<br />
0.014<br />
<br />
0.09<br />
<br />
p<br />
<br />
In 50 eyes with MD > - 6dB, 38 eyes had no glaucomatous defects in visual field test<br />
(stage 0 – classification Hodapp, Parish and Anderson - 1993) [12]. We compare the average<br />
MD and average VFI between the group with cataract and the group without cataract. There<br />
was no significant difference in the VFI between two the groups (p > 0.05) but was significant<br />
difference in the MD between two the groups (p < 0.05).<br />
<br />
IV. DISCUSSION<br />
Global indices of VFs have always<br />
played an important role in summarizing<br />
the severity of glaucoma. MD and PSD are<br />
the two most popular global indices used<br />
in clinical practice. However, both of them<br />
have limitations. MD is affected by media<br />
opacities and by other causes of generalized<br />
depression of visual function in addition to<br />
glaucoma. PSD is less affected by media<br />
opacities, but has the disadvantage that<br />
it falsely improves as the severity of VF<br />
loss increases. VFI was meant to address<br />
some of the limitations of MD and PSD [13].<br />
The results of our study show that a linear<br />
regression between VFI and MD, and PSD<br />
72<br />
<br />
with the correlation coefficient is 0.984 and<br />
-0.667.<br />
The increase in the variability of MD<br />
observed in damaged visual fields is<br />
consistent with previous reports [13,14].<br />
Our analysis suggests also an equation<br />
for estimating VFI from MD.<br />
In this study, we compared the MD and<br />
the VFI in the patients without glaucomatous<br />
defects in visual field test. So that, MD<br />
decreased only by cataract or by media<br />
opacities. There was no statistical difference<br />
in the VFI between group with cataract and<br />
group without cataract. These findings are<br />
similar to those of previous studies on visual<br />
fields [15,16]. This result demonstrated that<br />
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