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

Article Type

Research Article

Publication Title

Model Assisted Statistics and Applications

Abstract

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.

First Page

53

Last Page

61

DOI

10.3233/MAS-170417

Publication Date

1-1-2018

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