Abstract
In this paper, we discuss in a general framework the design-based estimation of population parameters when sensitive data are collected by randomized response techniques. We show in close detail the procedure for estimating the distribution function of a sensitive quantitative variable and how to estimate simultaneously the population prevalence of individuals bearing a stigmatizing attribute and the distribution function for the members belonging to the hidden group. The randomized response devices by Greenberg et al. (J Am Stat Assoc 66:243–250, 1971), Franklin (Commun Stat Theory Methods 18:489–505, 1989), and Singh et al. (Aust NZ J Stat 40:291–297 1998) are here considered as data-gathering tools.
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The Authors wish to thank the two anonymous referees for their careful revision of the paper and constructive comments.
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Barabesi, L., Diana, G. & Perri, P.F. Design-based distribution function estimation for stigmatized populations. Metrika 76, 919–935 (2013). https://doi.org/10.1007/s00184-012-0424-6
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DOI: https://doi.org/10.1007/s00184-012-0424-6