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[R-meta] Effect Sizes and Beta Coefficients

Wolfgang Viechtbauer 
Dear Rebecca,

This is my personal opinion: I would consider this approach outdated.

Typically, in a situation like this, one also knows the t-statistic for the coefficient of interest (or its p-value from which one can back-calculate the t-statistic). In that case, one can compute the (semi)partial correlation coefficient for the coefficient.

However, whether one should combine such 'partial' effect sizes with bivariate correlations is debatable in the first place. A relevant article that essentially argues against this is:

Aloe, A. M. (2015). Inaccuracy of regression results in replacing bivariate correlations. Research Synthesis Methods, 6(1), 21-27. https://doi.org/10.1002/jrsm.1126

At least, one could try to capture some of the heterogeneity introduced by this by including a moderator in the model that indicates the type of correlation coefficient. With enough studies, one could even go a step further and include moderators that indicate which covariates were included in the original regression models from which the (semi)partial correlations were obtained (as a bunch of dummy variables).

Best,
Wolfgang
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Hall, Rebecca Effect Sizes and Beta Coefficients Jun 11 Wolfgang Viechtbauer Effect Sizes and Beta Coefficients Jun 11 Hall, Rebecca Effect Sizes and Beta Coefficients Jun 12 Wolfgang Viechtbauer Effect Sizes and Beta Coefficients Jun 13 Hall, Rebecca Effect Sizes and Beta Coefficients Jun 17 Michael Dewey Effect Sizes and Beta Coefficients Jun 17 Wolfgang Viechtbauer Effect Sizes and Beta Coefficients Jun 18 Hall, Rebecca Effect Sizes and Beta Coefficients Jun 18 Wolfgang Viechtbauer Effect Sizes and Beta Coefficients Jun 18