A mixture binary RRT model with a unified measure of privacy and efficiency

References

• Fligner, M. A., G. E. Policello, and J. Singh. 1977. A comparison of two randomized response survey methods with consideration for the level of respondent protection. Communications in Statistics - Theory and Methods 6 (15):1511–24. doi:10.1080/03610927708827593.
   Web of Science ®Google Scholar
• Greenberg, B. G., A.-L 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.
   Web of Science ®Google Scholar
• Gupta, S., B. Gupta, and, and S. Singh. 2002. Estimation of the sensitivity level of personal interview survey questions. Journal of Statistical Planning and Inference 100 (2):239–47. doi:10.1016/S0378-3758(01)00137-9.
   Web of Science ®Google Scholar
• Gupta, S., S. Mehta, J. Shabbir, and S. Khalil. 2018. A unified measure of respondent privacy and model efficiency in quantitative rrt models. Journal of Statistical Theory and Practice 12 (3):506–11. doi:10.1080/15598608.2017.1415175.
   Web of Science ®Google Scholar
• Jones, E. E., and H. Sigall. 1971. The bogus pipeline: A new paradigm for measuring affect and attitude. Psychological Bulletin 76 (5):349–64. doi:10.1037/h0031617.
   Google Scholar
• Kalucha, G., S. Gupta, and J. Shabbir. 2016. A two-step approach to ratio and regression estimation of finite population mean using optional randomized response models. Journal of Mathematics and Statistics 45 (6):1819–30.
   Google Scholar
• Kim, J.-M., and W. D. Warde. 2005. A mixed randomized response model. Journal of Statistical Planning and Interference 113:211–21.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Mangat, N. S., and R. Singh. 1990. An alternative randomized response procedure. Biometrika 77 (2):439–42. doi:10.1093/biomet/77.2.439.
   Web of Science ®Google Scholar
• Mehta, S., and P. Aggarwal. 2018. Bayesian estimation of sensitivity level and population proportion of a sensitive characteristic in a binary optional unrelated question rrt model. Communications in Statistics - Theory and Methods 47 (16):4021–28. doi:10.1080/03610926.2017.1367812.
   Web of Science ®Google Scholar
• Narjis, G., and J. Shabbir. 2021. An efficient partial randomized response model for estimating a rare sensitive attribute using poisson distribution. Communications in Statistics - Theory and Methods 50 (1):1–17. doi:10.1080/03610926.2019.1628992.
   Web of Science ®Google Scholar
• Raghavarao, D., and W. T. Federer. 1979. Block total response as an alternative to the randomized response method in surveys. Journal of the Royal Statistical Society: Series B 41 (1):40–45.
   Google Scholar
• Reynolds, W. M. 1982. Development of a reliable and valid short form of the marlowe-crowne sdb scale. Journal of Clinical Psychology 38 (1):119–25. doi:10.1002/1097-4679(198201)38:1<119::AID-JCLP2270380118>3.0.CO;2-I.
   Web of Science ®Google Scholar
• Sihm, J., A. Chhabra, and S. Gupta. 2016. An optional unrelated question rrt model. Involve, a Journal of Mathematics 9 (2):195–209. doi:10.2140/involve.2016.9.195.
   Google Scholar
• Sihm, J., and S. Gupta. 2015. A two-stage binary optional randomized response model. Communications in Statistics - Simulation and Computation 44 (9):2278–96. doi:10.1080/03610918.2013.824098.
   Web of Science ®Google Scholar
• Warner, S. L. 1965. Randomized response: A survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 60 (309):63–69. doi:10.1080/01621459.1965.10480775.
   PubMed Web of Science ®Google Scholar
• Young, A., S. Gupta, and R. Parks. 2019. A binary unrelated-question rrt model accounting for untruthful responding. Involve, a Journal of Mathematics 12 (7):1163–73. doi:10.2140/involve.2019.12.1163.
   Google Scholar