I am trying to work out relative risk ratios from the ATET result on a binary outcome in teffects psmatch. I'd like to present the results as Relative risk ratio, absolute risk difference and number needed to harm - the public health audience the paper is intended for will have a greater understanding of these than presenting the ATET alone.

My understanding is that for a binary outcome the ATET is equivalent to the absolute risk difference between i. those treated and ii. those matched to the treated using PSM

So to my thinking the ATET for my primary outcome, depression, is .0604, so the absolute risk difference is 6.0%. The proportion of those treated (received a new form of welfare) who were depressed was 51.7%, therefore the proportion of those untreated ought to be 51.7-6.0 = 45.7%. From this you can calculate the relative risk at 51.7/45.7% = 1.13.

My question are
1. Is this correct? I haven't found anything relating to calculating the proportions of those with the outcome in the untreated or risk ratios.
2. if it is correct how do I calculate confidence intervals?

code

Code:
teffects psmatch (mcs_bin) (switch sex_dv1 i.agecat1 i.hhdi_5_1 health1 i.jbstat2 i.marstat_dv1 smoker1 i.hiqual2 i.region1 i.ethn2 ca1 i.intdaty_dv1), atet nn(3)

proportion mcs_bin if switch==1
Thank you!