Multiple raw mean differences can be computed in case of two groups
and multiple outcomes. The function computes the variance of the
difference of two raw mean differences given a correlation between the outcomes.
For a derivation of this variance see the supplemental materials of
van Aert & Wicherts (2023).
The vectors sd1i and sd2i can contain a single standard deviation
or multiple standard deviations if information on more than one outcome
measure is available.
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.
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.