Dear colleagues,

I am running an average treatment effects analysis (teffects) for the binary outcome and I have designated three subgroups in the propensity-score matching estimator (under by/if/in command - repeat commands by groups).

The output gives me three different ATE coefficients with 95% CI, z-value, and p>z value and standard error for all three subgroups.

My question is: which command do I use and how do I compare these three ATE coefficients to see if they significantly differ?
Is there a way to do this in STATA?

Those three ATE coefficients are clearly different numerically, however, I would wish to see if they differ significantly, therefore, would appreciate it if you could let me know on the ways how to formally test this?

I would highly appreciate your help since this is the last part I need to finish for my analysis. I apologize if similar content was reported previously, however, I am a novice STATA user and have used SPSS almost exclusively for the purpose of my research, however, this analysis is not available in SPSS and for this instance, I need to use STATA.

Thank you very much for your help!