Randomized response sampling from dichotomous populations with continuous randomization

A randomized response model for sampling from dichotomous populations is developed in this paper. The model permits the use of continuous randomization and multiple trials per respondent. The special case of randomization with normal distributions is considered, and a computer simulation of such a sampling procedure is presented as an initial exploration into the effects such a scheme has on the amount of information in the sample. A portable electronic device is discussed which would implement the presented model. The results of a study taken, using the electronic randomizing device, is presented. The results show that randomized response sampling is a superior technique to direct questioning for at least some sensitive questions.