Content uploaded by Milton Ruiz Alves
Author content
All content in this area was uploaded by Milton Ruiz Alves on Apr 04, 2015
Content may be subject to copyright.
Available via license: CC BY-NC 4.0
Content may be subject to copyright.
218
Arq Bras Oftalmol. 2013;76(4):218-20
Artigo Original | Original article
INTRODUCTION
Presbyopia (from the Greek presbys, elder or old, and, -ops, eye)
is a progressive condition where the ability to focus on near objects
is gradually lost as part of the natural aging process
(1)
. Presbyopia
tends to manifest itself around the age of 40 to 45 years, at an ex-
tremely productive stage in life and its inadequate correction will
compromise a person’s work performance with the economic loses
that this entails
(2)
.
The optical correction of presbyopia must be handled indivi-
dually. The amount of accommodation varies not only from person to
person, but also from eye to eye. Therefore it is necessary to prescribe
the weakest lenses which are tolerable for good and comfortable
near vision in order to find harmony between the processes of ac-
commodation and convergence
(3)
. Normally, a tentative addition is
established first and this is then adjusted to obtain the final addition
(4)
.
In the case of correction it is necessary to respect working distance to
which a person has to adapt their vision and which is very important
in various professions. An error in reading addition is one of the most
common causes of patients’ unhappiness with their new spectacles
(5)
.
For example, when the range of clear vision is not well determined,
patients may complain that the new spectacles are fine for reading,
but that they are now unable to see a computer screen
(6)
. A classic
clinical rule, used by most ophthalmologists, is that the patient
should be able to support up to half of its full range of amplitude of
ac commodation (AA)
(7)
.
Many variables affecting accommodative testing are difficult to
control, including illumination, depth of focus, target size, contrast,
visual angle, lens affectiveness, monocular and binocular cues, kines-
An evaluation of estimation methods for determining addition in presbyopes
Avaliação de diferentes métodos para determinar adição em présbitas
Leonardo Catunda BittenCourt
1
, MiLton ruiz aLves
2
, danieL oLiveira dantas
3
, PaBLo FeLiPe rodrigues
4
, edson dos santos-neto
5
Submitted for publication: August 21, 2012
Accepted for publication: May 21, 2013
Study carried out at Hospital das Clínicas da Faculdade de Medicina, Universidade de São Paulo -
USP - São Paulo (SP), Brazil.
1
Physician, Hospital das Clínicas da Faculdade de Medicina, Universidade de São Paulo - USP - São
Paulo (SP), Brazil.
2
Physician, Setor de Córnea e Doenças Externas do Hospital das Clínicas da Faculdade de Medicina,
Universidade de São Paulo - USP - São Paulo (SP), Brazil.
3
Statistician, São Paulo (SP), Brazil.
4
Physician, Setor de Córnea e Doenças Externas no Hospital das Clínicas da Faculdade de Medicina,
Universidade de São Paulo - USP - São Paulo (SP), Brazil.
5
Physician, Hospital das Clínicas da Faculdade de Medicina, Universidade de São Paulo - USP - São
Paulo (SP), Brazil.
Funding: No specific financial support was available for this study.
Disclosure of potential conflicts of interest: L.C.Bittencourt, None; M.R.Alves, None; D.O.Dantas,
None; P.F.Rodrigues, None; E.Santos-Neto, None.
Correspondence address: Leonardo Catunda Bittencourt. Rua Loefgren, 441 - Apto. 153 - São
Paulo (SP) - 04040-030 – Brazil - E-mail: leocatunda@gmail.com
Número do projeto no comitê de ética: 0821/10 HCFMUSP.
ABSTRACT
Purpose: The optical correction of presbyopia must be handled individually. Our
aim was to compare the methods used in addition to the refractive near vision,
with the final addition used in presbyopic patients.
Methods: Eighty healthy subjects with a mean age of 49.7 years (range 40 to 60
years) were studied. Tentative near additions were determined using four diffe-
rent techniques: one-half amplitude accommodation with minus lenses (AAL);
one-third accommodative demand with positive lens (ADL); balanced range of
accommodation with minus and positive lenses (BRA) and crossed cylinder test
with initial myopisation (CCT). The power of the addition was then refined to
ar rive at the final addition.
Results: The mean tentative near additions were lower than the final addition
for ADL and BRA addition methods. The mean differences between tentative and
final additions were low for all the tests examined (less than 0.25 D). The intervals
between the 95% limits of agreement differed substantially and were always higher
than ±0.50 D.
Conclusion: All the methods used displayed similar behavior and provided a
tentative addition close to the final addition. The coefficient of agreements (COA)
detected suggests that every tentative addition should be adjusted according to
the particular needs of the patient.
Keywords: Accommodation, ocular; Eyeglasses; Presbyopia/therapy; Depth per -
ception; Lenses
RESUMO
Objetivo: A correção óptica da presbiopia deve ser manejada individualmente. Nosso
intuito é de comparar os métodos usados para calcular a adição na elaboração do
grau para perto em pacientes présbitas.
Métodos: Oitenta pacientes com média de idade de 49,7 anos (intervalo de 40 a
60 anos) foram estudados. Adições provisórias foram determinadas usando quatro
diferentes técnicas: metade da amplitude de acomodação com lentes negativas
(AAL); um terço da demanda acomodativa com lentes positivas (ADL); média arit -
mética da acomodação usando lentes positivas e negativas (BRA); teste com o
cilindro cruzado com miopização (CCT). O grau final foi refinado até chegar a
gra duação final da adição.
Resultados: A média das adições nos testes foram menores que as adições finais nos
métodos ADL e BRA. As diferenças médias entre os testes e o grau final foram baixas
em todos os métodos (menores que +0,25 D). Os intervalos entre os 95% dos limites
da concordância diferenciaram substancialmente e foram todos maiores que ±0.50 D.
Conclusão: Todos os métodos usados demonstraram comportamentos similares e
forneceram resultados bem próximos da adição final. O coeficiente de concordância
(COA) detectado, sugere que todos os métodos utilizados devem ser ajustados de
acordo com as necessidades do paciente.
Descritores: Acomodação ocular; Óculos; Presbiopia/terapia; Percepcão de profun-
didade; Lentes
Bittencourt LC, et al.
219
Arq Bras Oftalmol. 2013;76(4):218-20
thetic feedback, and the rate at which accommodative demand is
changed during testing
(8)
. We feel it would be more reasonable to use
the method that provides the tentative addition closest to the final
addition. It is felt that it would accelerate the entire evaluation pro-
cess. This study was designed to compare final addition values with
the tentative additions obtained using the tests: one-half amplitude
accommodation with minus lenses (AAL); one-third accommodative
demand with positive lens (ADL); balanced range of accommodation
with minus and positive lenses (BRA) and crossed cylinder test with
initial myopisation (CCT).
METHODS
An observational, cross-section study was carried out. The re-
search followed the tenets of the Declaration of Helsinki, and Insti-
tutional Review Board approval was obtained. All patients were
in formed about the purpose of the study and gave informed consent
before inclusion. Patients were sequentially evaluated from February
to November 2011. The age range of the subjects was 40 to 60 years
(mean: 49.7, standard deviation: ± 5.0 years). Fifty (62.5%) patients
were women and thirty (37.5%) were men. The spherical refractive
error ranged from -5.75 to +5.00 D with up to -1.50 D of astigmatism.
All patients required addition; and presented corrected mono-
cular visual acuity (VA) greater than or equal to 6/7.5 at distance and
near; anisometropy less than 1.50 D; no binocular problems; no history
of refractive surgery, strabismus or amblyopia; no ocular pathology;
no systemic disease that could affect accommodation, fusional
vergences and/or ocular motility; and no medication likely to have
side effects on accommodation and/or on fusional vergences. All the
patients were submitted to the four different methods.
Demographic and clinical data were obtained, including data
of birth and gender. Each subject underwent a comprehensive oph -
thalmologic examination including review of medical history, sub -
jective refraction followed by binocular balancing, with Snellen
op totypes presented at 6 meters, best correct visual acuity, slit-lamp
biomicroscopy, ocular tonometry and fundoscopic examination.
The subjective refractions were conducted to maximize the amount
of positive sphere and minimize the amount of negative sphere
without compromising distance visual acuity. Astigmatism was ad-
justed using the Jackson cross-cylinder. All the procedures used to
determine tentative addition were performed in random order. The
final addition for a 40 cm working distance was established for each
patient by adjusting the tentative addition (AdT) obtained using one
to the four methods selected at random:
AAL Method - one-hALf AMpLitude AccoMModAtion (AA)
with Minus Lenses
This procedure assumes that the prescription of addition should
not use more than one-half of the total amplitude, the working
distance in this study was 40 cm, so the tentative addition value was
calculated as 2.50 D -1/2(AA), where AA is the mean amplitude of
accommodation between both eyes. To measure the AA, the sub-
ject was instructed to read the fine print on the nearpoint test card,
placed at 40 cm, while the accommodative demand was increased
using minus lens in 0.25 D steps by making a conscious accommo-
dative effort.
AdL Method - one-third AccoMModAtive deMAnd (Ad)
with positive Lens
To measure the AD, with distance refraction in the phoropter
and the nearpoint test card at 40 cm, the subject was instructed to
read the fine print on the test card. Then, plus lenses in 0.25 steps
were added until the fine print on test card become clear (L), so the
AD was calculated as 2.50 D - L, and the tentative addition value was
calculated as 1/3AD + L.
BrA Method - BALAnced rAnge of AccoMModAtion
with Minus And positive Lenses
This procedure assumes that the prescription of addition is to
place the dioptric midpoint of the range of clear vision at the patient’s
customary near working distance. The dioptric midpoint was deter-
mined, with the patient’s distance refraction in the phoropter and the
near point test card at 40 cm, by adding plus power lenses binocularly
until the subject was no longer able to read the fine print on the test
card, and by adding minus power lenses until the patient was no
longer able to read the fine print, so the tentative addition value was
calculated as the arithmetical media of these values.
cct Method - crossed cyLinder test with initiAL MyopisAtion
A cross-grid target was placed on the near point rod of the pho-
ropter at the patient’s working distance, in this study at a 40 cm, and
the crossed cylinder (with the minus axis vertical) was positioned
before both eyes. With the distance correction in place, were added
plus lenses until the vertical lines on the target become as clear and
dark as the horizontal lines, this was the tentative addition value.
The data were analyzed using the Analyze-it program for Micro soft
Excel (Leeds, UK. See http://www.analyse-it.com statistics pro gram)
(6)
.
The level of agreement between the different tentative ad dition tests
and the prescribed addition, or reference addition, was estimated using
the Bland-Altman method
(9,10)
. Correlation is nor mally used to evaluate
the agreement between two methods. The problem of correlation is that
it is high when the points of the scatter plot fall on any straight line with
positive derivative
(6)
. The factors determined were the mean difference
(Bias), the standard deviation (SD), the coeffi cient of agreement (COA=
1.96 x SD) and the limits of agreement at the 95% level (Bias ± COA). The
t-test for paired samples was also used to establish the significance of the
differences. The level of significance was set at p<0.05.
RESULTS
Table 1 provides data on the level of agreement between each
of the tests used to determine tentative addition in presbyopes and
the final addition. The mean differences between tentative and final
additions were low (less than 0.25 D) and the coefficients of agreement
are moderately high in clinical terms, as they always exceeded 0.50 D.
Figure 1 shows plots for each subject of the difference between
the tentative addition (AdT) and the final addition (AdF) versus the
mean of the two additions. The lines at U and L, respectively, show
the upper and the lower 95% limits of agreement. The same scales
are used in all figures to aid the visual comparison of biases and
agreement intervals.
DISCUSSION
The evaluation and management of presbyopia are important
be cause significant functional deficits can occur when the con-
dition is left untreated. Undercorrected or uncorrected presbyopia
can cause significant visual disability and have a negative impact
on the patient’s quality of life
(3)
. Careful distance refraction provides
the foundation for determining the management of presbyopia
(3)
.
The optical correction for presbyopia is the sum of the refractive
cor rection for distance plus the power of the near addition
(3)
. The
nature of the distance correction itself influences the near addition
(11)
.
Determining the addition in the presbyope is an essential clinical
test for evaluating patients over the age of 40 years
(7)
. The results of
these tests are usually refined according to the subject’s preference
in terms of image clarity and a comfortable near task distance
(12)
. The
refinement stage will be shorter and easier if the tentative addition is
determined as precisely as possible
(6)
.
In this study, the aim was to establish the level of agreement bet-
ween tentative additions determined by four methods and the final
addition. The results indicate that the mean differences between ten-
An evaluation of estimation methods for determining addition in presbyopes
220
Arq Bras Oftalmol. 2013;76(4):218-20
tative and final additions were low for all the tests examined (less than
0.25 D). The agreement intervals ranged from about ± 0.50 D to ± 0.75 D
(Table 1 and Figure 1). This means that the tentative addition provided
by the AAL and ADL methods could be up to 0.75 D higher or lower
than the final addition prescribed to the patient. Likewise the tentative
addition provided by BRA and CCT methods could be up to 0.50 D
higher or lower than the final addition prescribed for the patient. The
ADL based addition underestimated the addition (p=0.0003). Likewise,
the BRA based addition underestimated the addition (p=0.008).
The different methods used to determine tentative addition
based on objective or subjective tests are not very reliable. Besides
that, characteristics of the patient, such as visual needs, work habits,
previous prescriptions may contribute to the different results, and
consequently the wide COA obtained.
Antona et al.
(6)
compared final addition values with the tentative
additions obtained using dynamic retinoscopy, amplitude of accom -
modation, age expected addition, fused cross cylinder without initial
myopisation, fused cross cylinder with initial myopisation, near duo-
chrome and the negative relative accommodation/positive relative
accommodation (NRA/PRA) balance. For these authors the method
that provided the result closest to the final addition power was the
age-expected AA procedure. For them this test showed the narro-
west agreement interval and the least bias.
As a result of this study the choice of method will be affected
because all tests were similar in accuracy for the tentative addition,
in other aspects, such as ease of application and time taken, the
age expected addition method for assessing the tentative addition
is an easy and effective test and it takes no time. A table of age-ex-
pected accommodative amplitudes can serve as a starting point for
determining a near addition
(13-15)
. However, the values in the tables
represent population averages, and the measured amplitude of ac-
commodation for the individual patient may differ significantly from
the age-group average. Measuring the amplitude of accommodation
provides a more appropriate indication of the patient’s accommoda-
tive ability and range of clear vision
(3)
.
These findings suggest that all the studied techniques displayed
similar behavior and provided a tentative addition close to the final
addition. Finally, the wide agreements detected here suggest that
every tentative addition should be adjusted according to the parti-
cular needs of the patient.
REFERENCES
1. Koretz JK. Presbyopia. In: Levin LA, Albert DM, editors. Ocular disease: mechanism
and management. China: Saunders Elsevier; 2010. p.258-66.
2. Bito LZ. Presbyopia. Arch Ophthalmol. 1988;106(11):1526-7.
3. Sousa SJ, Alves MR. Presbiopia. In: Alves MR, Polati M, Sousa SJ, editores. Refratometria
ocular e a arte da prescrição médica. Rio de Janeiro: Cultura Médica; 2009. p.127-46.
4. Carter JH. Determining the nearpoint addition. N Engl J Optom. 1985;37:4-13.
5. Hanlon SD, Nakabayashi J, Shigezawa G. A critical view of presbyopic add determi-
nation. J Am Optom Assoc. 1987;58(6):468-72.
6. Antona B, Barra F, Barrio A, Gutierrez A, Piedrahita E, Martin Y. Comparing methods of
determining addition in presbyopes. Clin Exp Optom. 2008;91(3):313-8.
7. Kurtz D. Presbyopia. In: Brookman KE, editor. Refractive management of ametropia.
Boston: Butterworth-Heinemann;1996. p.145-79.
8. Michaels DD. Visual optics and refraction: a clinical approach. 2
nd
ed. St. Louis: CV
Mosby; 1980. p.571-4.
9. Bland JM, Altman DG. Measurement in medicine: the analysis of method comparison
studies. Statistician 1983;32:307-17.
10. Bland JM, Altman DG. Statistical methods for assessing agreement between two
methods of clinical measurement. Lancet. 1986;1(8476):307-10.
11. Pointer JS. The presbyopic add. III. Influence of the distance refractive type. Ophthal-
mic Physiol Opt. 1995;15(4):249-53.
12. Abraham LM, Kuriakose T, Sivanandam V, Venkatesan N, Thomas R, Muliyil J. Amplitude of
accommodation and its relation to refractive errors. Indian J Ophthalmol. 2005;53(2):105-8.
13. Patorgis CJ. Presbyopia. In: Amos JF, editor. Diagnosis and management in vision care.
Boston: Butterworths; 1987. p.203-38.
14. Millodot M, Millodot S. Presbyopia correction and the accommodation in reserve.
Ophthalmic Physiol Opt. 1989;9(2):126-32.
15. Hofstetter HW. A longitudinal study of amplitude changes in presbyopia. Am J Optom
Arch Am Acad Optom. 1965;42:3-8.
Table 1. Agreement between tentative and nal addition
Mean BIAS p value COA
AAL 1.925 -0.003 (AAL>AdF) 0.9400 ± 0.725
ADL 1.803 -0.100 (ADL<AdF) 0.0003 ± 0.700
BRA 1.784 -0.100 (BRA<AdF) 0.0008 ± 0.550
CCT 1.941 -0.019 (CCT>AdF) 0.5705 ± 0.577
AdF= final addition; COA= coefficient of agreement (1.96 x standard deviation); Tentative
add: AAL= one-half amplitude accommodation (AA) with minus lenses; ADL= one-third
accommodative demand with positive lens; BRA= balanced range of accommodation
with minus and positive lenses; CCT= crossed cylinder test with initial myopisation.
Figure 1. Plots for each subject of the dierence between the tentative addition and
the nal addition (AdF- AdT) against the mean of both. The lines at U and L, respectively,
indicate the upper and lower 95% limits of agreement.