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In a meta-analysis, the estimate of covariance for effect sizes is often calculated to assess the degree to which the effect sizes are correlated across studies. This covariance can be estimated using a random-effects model, which accounts for both within-study and between-study variability. Typically, it involves using the inverse of the variance of each effect size as weights in a weighted average. Understanding covariance helps in evaluating the overall heterogeneity and potential publication bias in the meta-analysis.

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