Friday puzzle -- statistical data collection
You mean you read the subject line and still opened this? You must be a real geek! Welcome to the club.
The gist of this question is how to collect statistical data without collecting meaningful data on individuals.
Let's assume you want to collect data on the prevalence of a certain practice that individuals would be embarrassed to discuss openly. (Let your mind run free, but please keep your images of this question to yourself!) If you had an arena full of individuals, you could give them each a form asking the Embarrassing Question ("EQ") of whether they engage in the practice in question, and have them drop their forms in a box as they leave, assuring confidentiality.
But what if that were not an option? What if you needed to collect the data from individuals in one-on-one sessions, and each respondent had to directly give you their answer to enter in the data. Is there a way to collect meaningful statistical data without the individuals' telling you their answers to the EQ, or speculating about others?