I have a survey experiment in which the treated group receives a certain prompt that the control group does not.
I also have a bunch of demographic variables that I want to check for balance between the control and the treated group. A common technique that I've seen is a t-test comparing the two groups. However, if my sample size is large, doesn't this make the t-test more statistically significant regardless of the underlying balance between my two groups?
If that's true, is there a better balance test than the t-test?