A GENERALIZED RANDOMIZED RESPONSE MODEL

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 18 , ISSUE 4 (December 2017) > List of articles

A GENERALIZED RANDOMIZED RESPONSE MODEL

Housila P. Singh / Swarangi M. Gorey

Keywords : sensitive variable, population proportion, Gjestvang and Singh’s model, variance, efficiency

Citation Information : Statistics in Transition New Series. Volume 18, Issue 4, Pages 669-686, DOI: https://doi.org/10.21307/stattrans-2017-006

License : (CC BY 4.0)

Published Online: 22-January-2018

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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.

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