A sensitivity analysis for unit and item nonresponse asks how much the population estimate and substantive conclusions change when the untestable response assumptions are weakened. Vary plausible virginity probabilities among the missing groups, and vary the unknown embarrassment mixture among unit nonresponders; identify combinations which materially alter the estimate or reverse a conclusion.
For example, let be the positive probabilities among embarrassed and nonembarrassed item nonresponders, let be the embarrassed fraction among unit nonresponders, and let be their corresponding positive probabilities. The sensitivity estimate is
The nominal assumptions set , and , reproducing . Different choices model outcome-dependent refusal or a changed mixture. Sampling confidence intervals measure a different uncertainty and should also be reported where appropriate; they do not validate the missingness assumptions.