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[R-meta] Meta-analysis - missing study-specific variance

Dear Angela,

You would need the entire correlation matrix of all variables involved in a regression model to compute the sampling variance of a standardized regression coefficient of such a model. I assume that this is not available to you.

I see a few alternative options:

1) Do you have the p-values corresponding to these regression coefficients? If so, you could use this to compute the partial correlation coefficients and conduct the meta-analysis using those. See:

https://wviechtb.github.io/metafor/reference/escalc.html#partial-and-semi-partial-correlations

2) You could fit a model that assumes that the sampling variances of the standardized regression coefficients are inversely proportional to the sample sizes and then use robust inference methods. Making this work isn't entirely straightforward, so I wouldn't suggest to consider this approach unless 1) is not an option.

Best,
Wolfgang