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. © 2013 Springer-Verlag Berlin Heidelberg.
Barabesi, L., Diana, G., Perri, P.F. (2013). Design-based distribution function estimation for stigmatized populations. METRIKA, 76(7), 919-935 [10.1007/s00184-012-0424-6].
Design-based distribution function estimation for stigmatized populations
Barabesi, Lucio;
2013-01-01
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. © 2013 Springer-Verlag Berlin Heidelberg.
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https://hdl.handle.net/11365/956446
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