I'm interested in meta-analysing the agreement between two measures. Depending on whether the variables are continuous/categorical/binary, different studies present agreement as either:
- A Pearson's correlation coefficient (for continuous variables)
- Intraclass correlation coefficient/weighted kappa (for categorical/ordinal variables)
- Cohen's kappa (for binary variables)
I understand that intraclass correlation coefficient is equivalent to a weighted kappa under certain conditions, which increases the comparability between the ICC and kappa.
Is there a way to convert a Pearson's correlation coefficient to an equivalent of Cohen's kappa?