On the Use of Randomization Device for Estimating the Proportion and Truthful Reporting of a Qualitative Sensitive Attribute

Housila P. Singh, Tanveer Ahmad Tarray

Abstract


In this paper, a simple and obvious procedure is presented that allows to estimate  the population proportion Pi possessing sensitive attribute using simple random sampling with replacement (SRSWR). In addition to T, the probability that a respondent truthfully states that he or she bears a sensitive character when experienced in a direct response survey. An efficiency comparison is carried out to investigate in the performance of the proposed method. It is found that the proposed strategy is more efficient than Warner’s (1965) as well as Huang’s (2004) randomized response techniques under some realistic conditions. Numerical illustrations and graphical representations are also given in support of the present study. 


Keywords


Randomized response technique, Direct response, Estimation of proportion, Privacy of respondents, Sensitive characteristics, Relative efficiency.

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DOI: http://dx.doi.org/10.18187/pjsor.v11i1.704

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Title

On the Use of Randomization Device for Estimating the Proportion and Truthful Reporting of a Qualitative Sensitive Attribute

Keywords

Randomized response technique, Direct response, Estimation of proportion, Privacy of respondents, Sensitive characteristics, Relative efficiency.

Description

In this paper, a simple and obvious procedure is presented that allows to estimate  the population proportion Pi possessing sensitive attribute using simple random sampling with replacement (SRSWR). In addition to T, the probability that a respondent truthfully states that he or she bears a sensitive character when experienced in a direct response survey. An efficiency comparison is carried out to investigate in the performance of the proposed method. It is found that the proposed strategy is more efficient than Warner’s (1965) as well as Huang’s (2004) randomized response techniques under some realistic conditions. Numerical illustrations and graphical representations are also given in support of the present study. 


Date

2015-04-06

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 11 No. 1, 2015



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810