Is it possible to statistically compare the Cohen's $d$ of two studies in order to determine of one of the two Cohen's $d$s is statistically significantly larger (or smaller) than the other one?
I have calculated Cohen's $d$ for two virtually identical studies. In one study the cohen's $d$ for control group vs. treatment group is $1.05$; in the other study it is $1.31$. In the second study Cohen's $d$ is larger than in the first study. But can I perform a test to determine if the difference is statistically significant? If a statistical test is not possible is there a method / guidelines that would allow me to say if a difference of $0.26$ between the two Cohen's $d$s is small, medium or large (in other words relevant)?