Model assisted estimation of sensitive proportions from randomised responses by unequal probability sampling

摘要

In order to estimate the proportion of people bearing a sensitive characteristic in a community, a sample is selected with unequal probabilities and randomized response data are obtained. Supposing data on a related variable are at hand in addition a model-design based estimation procedure modifying Chaudhuri and Saha’s (2004) is developed and studied. Four well-known Randomized Response (RR) methods are illustrated and a one-parameter logistic regression model is tried. Empirical Bayes estimation is examined and simulated results are presented to study the resulting efficacy.