A Comparison of Three Randomized Response Models for Quantitative Data

Abstract

Three randomized response models for quantitative data are considered, the extension of the unrelated question model first considered by Greenberg, and two models which involve the addition or multiplication of a random number from a known distribution to the sensitive value. Estimation is considered in all three models and efficiencies compared. The addition and multiplication models appear to have potential but a practical comparison of the three models is needed.