A Generalized Randomized Response Model

Singh Housila P. and Gorey Swarangi M.
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Gorey Swarangi M.: School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India

Statistics in Transition New Series, 2017, vol. 18, issue 4, 669-686

Abstract: In this paper we have suggested a generalized version of the Gjestvang and Singh (2006) model and have studied its properties. We have shown that the randomized response models due to Warner (1965), Mangat and Singh (1990), Mangat (1994) and Gjestvang and Singh (2006) are members of the proposed RR model. The conditions are obtained in which the suggested RR model is more efficient than the Warner (1965) model, Mangat and Singh (1990) model and Mangat (1994) model and Gjestvang and Singh (2006) model. A numerical illustration is given in support of the present study.

Keywords: sensitive variable; population proportion; Gjestvang and Singh’s model; variance; efficiency; 62D05 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:18:y:2017:i:4:p:669-686:n:7

DOI: 10.21307/stattrans-2017-006

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