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Mean and sensitivity estimation of a sensitive variable through additive scrambling

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  • Zawar Hussain
  • Bander Al-Zahrani

Abstract

This article focuses on reducing the additional variance due to randomization of the responses. The idea of additive scrambling and its inverse has been used along with (i) split sample approach and (ii) double response approach. Specifically, our proposal is based on Gupta et al. (2006) randomized response model. We selected this model for improvement because it provides estimator of mean and sensitivity level of a sensitive variable and is better than all of its competitors proposed earlier to it and even Gupta et al. (2006) sensitivity estimator is better than that of Gupta et al. (2010). Our suggested estimators are unbiased estimators and perform better than Gupta et al. (2006) estimator. The issue of privacy protection is also discussed.

Suggested Citation

  • Zawar Hussain & Bander Al-Zahrani, 2016. "Mean and sensitivity estimation of a sensitive variable through additive scrambling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(1), pages 182-193, January.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:1:p:182-193
    DOI: 10.1080/03610926.2013.827722
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    Cited by:

    1. Kumari Priyanka & Pidugu Trisandhya & Richa Mittal, 2018. "Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques," METRON, Springer;Sapienza Università di Roma, vol. 76(2), pages 203-230, August.

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