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[R-meta] Meta-analysis of proportion differences (certain cells frequency)

Dear All, 

I am looking for guidance on performing a meta-analysis of the proportions
difference using R. Specifically, I am interested in analyzing the difference
in certain cell frequencies: for example, the difference in lymphocyte% among
all white blood cells between patients and healthy individuals, without having
information about the total white blood cell count. 

I would appreciate it if anyone could provide insights or point me in the
right direction regarding the appropriate R packages and methods for
conducting such a meta-analysis. On a related note, I came across information
suggesting that the difference between two beta distributions (likely
representing fraction values) does not follow a normal distribution:
https://blogs.sas.com/content/iml/2023/03/01/distribution-difference-beta.html.
Because of that, I am afraid that I cannot use rma function. 

Thank you in advance for your time and support. 

Best regards, 

Jakub Ruszkowski
Department of Nephrology, Transplantology and Internal Medicine
Medical University of Gda?sk