Meta-Analysis - A Comparison of Approaches
Meta-analysis has become the standard method for summarizing research findings in many scientific fields. The number of published applications using the method has been steadily growing in the last 25 years and the statistical procedures of meta-analysis continue to become more and more advanced.
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ˆσ2ζ aggregated analysis approximation beta distribution bias biases Böhning comparison computed confidence intervals considered context correlation coefficients coverage rates depicted design variables effect size estimate effect size measure Equation evaluation example expected value FE model Fisher-z based Fisher-z transformation fixed effects model given graphs Hedges & Olkin Hence heterogeneity variance heterogeneous situations hierarchical linear models homogeneity test HS approach Hunter & Schmidt Hunter and Schmidt interpretation interval widths larger levels mean effect meta meta-analysis methods mixture models Monte Carlo study MSEs normal distribution null hypothesis number of studies OP-FE OP-RE panel of Figure presented procedures proposed Q-test r-based random effects model random variable rejection rates rho_ Section significance testing situations S1 standard error statistical Table theoretical tion Type I error universe effect sizes universe of studies universe parameter validity weighting scheme z-space µ ρ µρ σ2 ρ