var_error_r: Estimate the error variance of correlations
Description
Estimates the error variance of Pearson correlations (\(r\)).
Usage
var_error_r(r, n, correct_bias = TRUE)
Value
A vector of sampling-error variances.
Arguments
r
Vector of correlations.
n
Vector of sample sizes.
correct_bias
Logical argument that determines whether to correct error-variance estimates for small-sample bias in correlations (TRUE) or not (FALSE).
Details
The sampling variance of a Pearson correlation is approximately:
$$var_{e}=\frac{(1-r^{2})^{2}}{n-1}$$
This can be corrected for bias in the sample correlation by first correcting the correlation (see correct_r_bias()) prior to estimating the error variance.
References
Schmidt, F. L., & Hunter, J. E. (2015).
Methods of meta-analysis: Correcting error and bias in research findings (3rd ed.).
Sage. tools:::Rd_expr_doi("10.4135/9781483398105"). p. 99.