Before revision:  Focusing on models that assume transmission noise, we find that previously published results are  robust across these choices and across different models . Finally, we mathematically ground the interpretation of NPI effectiveness estimates when certain common assumptions do not hold.
After revision:  Focusing on models that assume transmission noise, we find that previously published results are remarkably robust across these choices and across different models . Finally, we mathematically ground the interpretation of NPI effectiveness estimates when certain common assumptions do not hold.