I am at the end of the data extraction process in a meta-analysis. The extracted data come in different forms, the more frequent being : (1) mean and variance of experimental (with plant species x) and control plots (without plant species x), and (2) correlation coefficients of the response variable with abundance/availability/percent cover of plant x.
With type 1, I would like to use Hedge's d. With type 2, I can use directly Pearson's correlation coefficient.
Can I, by transforming Hedge's d into a correlation coefficient (which I know can be done), put the two type of data in the same model?