var_dif_fis: var_dif_fis

In RobbievanAert/puniform: Meta-Analysis Methods Correcting for Publication Bias

var_dif_fis

Description

Function for computing the variance of the difference between two overlapping Fisher-z transformed correlation coefficients.

Usage

var_dif_fis(n, r, rho)

Arguments

n	A numerical value specifying the total sample size of a primary study
r	A numerical value specifying the Pearson correlation coefficient between variables h and m (see Details)
rho	A numerical value specifying the Pearson correlation coefficient between variables l and h and variables h and m (see Details)

Details

In case of three variables (l, h, and m), overlapping Fisher-z transformed correlation coefficients can be computed between variables l and h and variables l and m. The function computes the variance of the difference between these two overlapping Fisher-z transformed correlations. For a derivation of this variance see van Aert & Wicherts (2023).

The variance that is computed with this function can be used to correct for outcome reporting bias by including the variance as a moderator in a (multivariate) meta-analysis. Please see van Aert & Wicherts (2023) for more information.

Value

The var_dif_fis function returns a numerical value that is the variance of the difference of two overlapping Fisher-z transformed correlations given n, r, and rho.

Author(s)

Robbie C.M. van Aert [e-mail]

References

van Aert, R.C.M. & Wicherts, J.M. (2023). Correcting for outcome reporting bias in a meta-analysis: A meta-regression approach. Behavior Research Methods.

Examples

### Compute variance for an artificial example
var_dif_fis(n = 100, r = 0.3, rho = 0.5)

RobbievanAert/puniform documentation built on Sept. 22, 2023, 2:53 a.m.