I am doing a meta-analysis and am looking for some guidance on which statistical test will help me do the following.
I want to understand the effect size a treatment has on a population. There are articles published that have an experimental sample with treatments A and B as well as a control group. There are articles published with a sample with treatment A and the control group. I want to understand the effect that treatment B has by comparing the findings in these articles.
I thought this was a case of a random effects situation because the populations sampled are similar but cannot be assumed to be exactly the same.
I would love some help with figuring out which statistical test best fits to answer this question.
Additional info:
Both treatments are binary values: For treatment A either you have a male or female sex for example (none of the data in the articles suggested genetic abnormalities for the 23rd chromosome in their participants).