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

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  • Ghulam Narjis
  • Javid Shabbir
  • Ronald Onyango
  • Dost Muhammad Khan

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.

Suggested Citation

  • Ghulam Narjis & Javid Shabbir & Ronald Onyango & Dost Muhammad Khan, 2022. "A Two-Stage Unrelated Question Randomized Response Model for Estimating the Prevalence of Stigmatized Attribute," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-18, May.
  • Handle: RePEc:hin:jnlmpe:4559663
    DOI: 10.1155/2022/4559663
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