A Two-Stage Unrelated Question Randomized Response Model for Estimating the Prevalence of Stigmatized Attribute

Author:

Narjis Ghulam1,Shabbir Javid1ORCID,Onyango Ronald2ORCID

Affiliation:

1. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

2. Department of Applied Statistics, Financial Mathematics, and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Bondo, Kenya

Abstract

The randomized response technique (RRT) is an effective method designed to obtain the stigmatized information from respondents while assuring the privacy. In this study, we propose a new two-stage unrelated question RRT model to estimate the prevalence of sensitive attribute π when the proportion of unrelated innocuous attribute is known and unknown. A simulation study is carried out to validate the theoretical results of proposed estimators. The utility of proposed two-stage unrelated question RRT model under stratification is also explored. An efficiency comparison between the proposed two-stage unrelated question RRT model and the Singh and Suman RRT model is carried out numerically under simple and stratified random sampling.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference9 articles.

1. A modified two-stage randomized response model for estimating the proportion of stigmatized attribute

2. Randomized Response: A Survey Technique for Eliminating Evasive Answer Bias

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4. A Modified Randomized Device for warner’s Model;M. Bhargava;Statistica,2000

5. Modifications to Warner's Model Using Blank Cards

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