An Effect Size for Regression Predictors in Meta-Analysis

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Methodological Guidance Paper: High-Quality Meta-Analysis in a Systematic Review (2019, background): “Aloe and Becker (2012) and Aloe and Thompson (2013) discuss effect sizes computed from the results of regressions for use in meta-analyses that are interested in estimating a treatment effect or a correlation between constructs.”
The Synthesis of Partial Effect Sizes (2013, methodology): “More recently, different approaches have been proposed to synthesize regression models (Aloe & Becker, 2012; Becker & Wu, 2007; Peterson & Brown, 2005; Wu & Becker, 2013).”
Extracting the Variance Inflation Factor and Other Multicollinearity Diagnostics from Typical Regression Results (2017, methodology): “…p ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi n p 1 p ; where tj is the t statistic from the test of significance for the jth predictor for the test of H0: βj ¼ 0 and R2 is the overall variance explained by the model with p predictors (see Aloe & Becker, 2012; Aloe & Thompson, 2013).”
Learning in One-to-One Laptop Environments (2016, methodology): “First, these studies failed to provide semipartial correlations, which were used to calculate the effect size of regression models for model-driven meta-analyses (Aloe & Becker, 2012).”