A literature search was performed for studies that were published prior to 2012 that report data regarding presbyopia and sex. Studies were excluded for which the data reported could not be interpreted to provide an odds ratio (OR) of the association between sex and presbyopia when controlling for age. OR was selected because it was the most commonly reported measure of association in the literature search. Studies that reported measures of presbyopia other than measures of prevalence were converted into an OR (using methods described later) in order to be included in the statistical analysis. A meta-analysis was then performed on included studies using the OR. No attempt was made to weight the studies based on the quality of the measurements taken or on the manner used to determine the status of presbyopia since there was no objective way for determining such a method of weighting and a subjective method would not be defensible.
Each OR was weighted (W) based on the inverse square of its standard error (SE) (W = 1/SE2). SEs were calculated by dividing the natural log of the ratio of the upper and lower 95% confidence intervals (CIs) by 3.92 (SE = ln(CIup/CIlow)/3.92). For each study, the weight was then multiplied by the natural log of the OR to calculate a summary measure. A pooled summary was determined by dividing the sum of the summary measures by the sum of the weights. A summary OR was produced by taking the exponent of the pooled summary.
Heterogeneity among studies was assessed using χ
2 for heterogeneity.
35 When evidence of heterogeneity was present, the 95% CI of the fixed effects summary OR was adjusted using the Shore method.
36 For a summary OR in which the χ
2 test statistic was greater than the number of degrees of freedom, the variance of the log of the pooled relative risk was multiplied by the ratio of the heterogeneity χ
2 statistic to its degrees of freedom. This adjusted variance was then used to adjust the 95% CI.
A total of 15 studies were found that report presbyopia data with the sex of the participants. Of these studies, six were excluded for reasons that follow. Burke et al. (2006) and Patel et al. (2006) utilize the same data set of 1709 individuals in Tanzania, so only the first was included.
9,11 Duarte et al. (2003) report a 22% increased risk for women to develop presbyopia but do not include CIs to allow inclusion into a meta-analysis.
12 Kragha et al. (1986) report that women had 0.54 diopters (D) greater accommodative amplitude than age-matched men but do not provide sufficient population demographics information (age and sex of participants) to convert this finding into a risk value for presbyopia based on age.
24 Carnevali et al. (2005) report no significant differences for sex in accommodative amplitudes but do not provide the data used to arrive at this conclusion.
28 Millodot et al. (1989) find women to have greater accommodative amplitudes than men but find that for the overall study this value is not statistically significant.
29 The study does not provide standard deviation values for age groups that would allow inclusion into the meta-analysis.
Nine cross-sectional studies were found to meet inclusion criteria (see
Fig. 2). From these, three studies (Burke et al. [2006], Nirmalan et al. [2006], and Morny et al. [1995]) report the OR of women being diagnosed with presbyopia compared to men when adjusted for age.
9,10,37 Two studies (Hofstetter [1949] and Pointer et al. [1995]) report the values of prescribed near add powers for men and women of various ages.
7,8 The Hoffstetter study was converted into an OR of women being diagnosed with presbyopia compared to men by using the need for a near add as a diagnosis of presbyopia. Because Pointer (1995) does not include data for patients who were found to have no need for a near-vision add, a cutoff value of 1.00 D near add was used as the minimum value for a diagnosis of presbyopia. Ayrshire (1964), Miranda et al. (1979), and two studies by Koretz et al. (1989) were included.
23,25,27,38 For studies that measure subjective accommodative amplitudes, a cut-off value of 3.75 D was chosen for the diagnosis of presbyopia (an amount reported in the study by Miranda et al. [1979]). For the Koretz study, which measures objective accommodative amplitudes, a cutoff value of 2.5 D was chosen. This amount correlates with subjective values, and it can be inferred that an individual with more than 2.5 D of measured objective focusing ability would not require a near correction for the standard reading distance of 40 cm. When individual data was not provided, a normal distribution of the metric value being measured was assumed to occur across a given age category.
The initial meta-analysis was performed combining all nine cross-sectional studies that met inclusion criteria. Subsequently, smaller groups were analyzed based on three categories of methods in which the data was gathered: near-vision spectacles prescribed, near add power measured, and accommodative amplitudes (see
Table 1).