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τ2 was a measure of the between study variance and was defined as 0 if the Q value was less than the expected variance (Number of studies -1).
From the transformed data, maximum likelihood summary relative risks (SRR) were calculated using a random effects model including two sources of variation (between study variance and, when applicable, within study variance; van Houwelingen et al, 2002).
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The τ value was the square root of the between-study variance, and the P-value was calculated with Cochrane's Q test, the classic measure of heterogeneity.
When a meta-analysis includes very few studies, it is difficult to estimate the between-study variance, and researchers may choose to summarize the results narratively only.
β 0i ~ N 0, σ*), where: σ*2 is the between-study variance; and σ i j 2 is the within-study variance, calculated from the log CI.
Tau-squared was the square root of the between-study variance, and P value was for Cochrane's Q, the classic measure of heterogeneity.
The first plot (a) in Figure 2 shows the estimated ω j 2 from the jth RVSOM and the next two plots (b-c) show the corresponding estimates of the between-study variance and the treatment effect.
We show the estimates of the between-study variance and the coverage probability of confidence intervals for the first outcome only, but these results for the second outcome can be ascertained from other simulation runs and symmetry.
Fiocco et al. recently used a Poisson correlated gamma-frailty approach to combine survival curves under heterogeniety, allowing the investigation of both between-study variance and within and between-arm correlations [ 9].
This statistical technique weighs individual studies by sample size and variance (both within- and between-study variance) and yields a pooled point estimate of OR and a 95% confidence interval (CI).
This enabled calculation of pooled estimates of refractive error prevalence, with studies weighted by sample size and between-study variance and a summary estimate standard error calculated from the inverse sum of the adjusted weights.
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