85
Views
0
CrossRef citations to date
0
Altmetric
Article

An improved randomized response model for simultaneous estimation of means of two quantitative sensitive variables

, ORCID Icon &
Pages 5967-5987 | Received 22 Apr 2019, Accepted 22 Jun 2020, Published online: 09 Jul 2020

References

  • Ahmed, S., S. A. Sedory, and S. Singh. 2018. Simultaneous estimation of means of two sensitive variables. Communications in Statistics - Theory and Methods 47 (2):324–43. doi:10.1080/03610926.2017.1303733.
  • Batool, F., J. Shabbir, and H. Hussain. 2017. On the estimation of a sensitive quantitative mean using blank cards. Communications in Statistics - Theory and Methods 46 (6):3070–9. doi:10.1080/03610926.2015.1053944.
  • Bhargava, M., and R. Singh. 1999. A note on a modified randomization device using unrelated question. Metron-International Journal of Statistics 57 (3–4):141–5.
  • Bhargava, M., and R. Singh. 2002. On the efficiency comparison of certain randomized response strategies. Metrika 55 (3):191–7. doi:10.1007/s001840100140.
  • Diana, G., and P. F. Perri. 2008. Efficiency vs privacy protection in SRR methods. In Proceedings of 44th Scientific Meeting of the Italian Statistical Society.
  • Diana, G., and P. F. Perri. 2011. A class of estimators for quantitative sensitive data. Statistical Papers 52 (3):633–50. doi:10.1007/s00362-009-0273-1.
  • Eichhorn, B. H., and L. S. Hayre. 1983. Scrambled randomized response methods for obtaining sensitive quantitative data. Journal of Statistical Planning and Inference 7 (4):307–16. doi:10.1016/0378-3758(83)90002-2.
  • Greenberg, B. G., A. Abul-Ela, W. R. Simmons, and D. G. Horvitz. 1969. The unrelated question randomized response model: Theoretical Framework. Journal of the American Statistical Association 64 (326):520–39. doi:10.1080/01621459.1969.10500991.
  • Greenberg, B. G., R. R. Kuebler, Jr, J. R. Abernathy, and D. G. Horvitz. 1971. Application of the randomized response technique in obtaining quantitative data. Journal of the American Statistical Association 66 (334):243–50. doi:10.1080/01621459.1971.10482248.
  • Lanke, J. 1976. On the degree of protection in randomized interviews. International Statistical Review / Revue Internationale de Statistique 44 (2):197–203. doi:10.2307/1403277.
  • Leysieffer, R. W., and S. L. Warner. 1976. Respondent jeopardy and optimal designs in randomized response models. Journal of the American Statistical Association 71 (355):649–56. doi:10.1080/01621459.1976.10481541.
  • Narjis, G., and J. Shabbir. 2019. An efficient partial randomized response model for estimating a rare sensitive attribute using Poisson distribution. Communications in Statistics - Theory and Methods. Advance online publication. doi:10.1080/03610926.2019.1628992.
  • Narjis, G., and J. Shabbir. 2020. Bayesian analysis of optional unrelated question randomized response models. Communications in Statistics-Theory and Methods. Advance online publication. doi:10.1080/03610926.2020.1713367.
  • Perri, P. F. 2008. Modified randomized devices for Simmons’ model. Model Assisted Statistics and Applications 3 (3):233–9. doi:10.3233/MAS-2008-3307.
  • Sarndal, C. E., B. Swensson, and J. Wretman. 1992. Model assisted survey sampling, Springer Series in Statistics, Springer-Verlag Publishing. New York: Springer.
  • Singh, S. 2016. On the estimation of correlation coefficient using scrambled responses. In Data gathering, analysis and protection of privacy through randomized response techniques: Qualitative and quantitative human traits, handbook of statistics-34, ed. A. Chaudhuri, T. C. Christofides, and C. R. Rao. North Holland: Elsevier.
  • Singh, S., S. Horn, R. Singh, and N. S. Mangat. 2003. On the use of modified randomization device for estimating the prevalence of a sensitive attribute. Statistics in Transition 6 (4):515–22.
  • Singh, G. N., A. Kumar, and G. K. Vishwakarma. 2018a. Estimation of population mean of sensitive quantitative character using blank cards in randomized device. Communications in Statistics - Simulation and Computation. Advance online publication. doi:10.1080/03610918.2018.1502779.
  • Singh, G. N., A. Kumar, and G. K. Vishwakarma. 2018b. Some alternative additive randomized response models for estimation of population mean of quantitative sensitive variable in the presence of scramble variable. Communications in Statistics - Simulation and Computation. Advance online publication. doi:10.1080/03610918.2018.1520879.
  • Warner, S. L. 1965. Randomized Response: A survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 60 (309):63–9. doi:10.1080/01621459.1965.10480775.
  • Zhimin, H., Y. Zaizai, and W. Lidong. 2010. Combination of the additive and multiplicative models at the estimation stage. In 2010 International Conference on Computer and Communication Technologies in Agriculture Engineering, 172–74.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.