Design-based distribution function estimation for stigmatized populations

Lucio Barabesi (), Giancarlo Diana () and Pier Perri ()

Metrika: International Journal for Theoretical and Applied Statistics, 2013, vol. 76, issue 7, 919-935

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. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Sensitive questions; Horvitz–Thompson estimator; Proportion estimation; Optional randomized response (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00184-012-0424-6

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