<p>This research introduces a novel approach termed as Forcibly re-scrambled optional randomized response technique (FRORRT) designed for estimating the mean of sensitive variable while protecting respondents privacy which consists of a true response, two scrambling variables and a fixed factor chosen by the investigator based on prior experiences but then re-scrambling the scrambled response (scrambled responses are those that are slightly modified using random numbers to ensure the privacy of individual answers). The properties of proposed FRORRT model are studied both theoretically as well as empirically. To enhance our approach, we opt for the FRORRT model because it provides estimates for both the mean and sensitivity level of a sensitive variable and also outperforms the other considered models. A simulation study for both hypothetical and real data set (Census 2011 literacy data) is also conducted which demonstrates that the outcomes of proposed model is favored over various existing models under consideration in the literature.</p>

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Mean Estimation of Sensitive Variable: A Forced Re-scrambled Optional Randomized Response (FRORRT) Approach

  • Sanam Preet Kour,
  • Sunil Kumar,
  • Chanda Rani

摘要

This research introduces a novel approach termed as Forcibly re-scrambled optional randomized response technique (FRORRT) designed for estimating the mean of sensitive variable while protecting respondents privacy which consists of a true response, two scrambling variables and a fixed factor chosen by the investigator based on prior experiences but then re-scrambling the scrambled response (scrambled responses are those that are slightly modified using random numbers to ensure the privacy of individual answers). The properties of proposed FRORRT model are studied both theoretically as well as empirically. To enhance our approach, we opt for the FRORRT model because it provides estimates for both the mean and sensitivity level of a sensitive variable and also outperforms the other considered models. A simulation study for both hypothetical and real data set (Census 2011 literacy data) is also conducted which demonstrates that the outcomes of proposed model is favored over various existing models under consideration in the literature.