The metaSEM package conducts univariate and multivariate meta-analyses using a structural equation modeling (SEM) approach via the OpenMx package. It also implements the two-stage SEM approach to conduct meta-analytic structural equation modeling on correlation/covariance matrices.

The stable version can be installed from CRAN by:

install.packages("metaSEM")

The developmental version can be installed by:

library(devtools)
## Install metaSEM from GitHub
install_github("mikewlcheung/metasem")

Please refer to https://courses.nus.edu.sg/course/psycwlm/Internet/metaSEM/ for more detail.