An efficient new scrambled response model for estimating sensitive population mean in successive sampling

References

• Arcos, A., M. Rueda, and S. Singh. 2015. A generalized approach to randomised response for quantitative variables. Quality & Quantity 49 (3):1239–56. doi:10.1007/s11135-014-0046-3.
   Google Scholar
• Arnab, R., and S. Singh. 2013. Estimation of mean of sensitive characteristics for successive sampling. Communications in Statistics - Theory and Methods 42 (14):2499–524. doi:10.1080/03610926.2011.605233.
   Web of Science ®Google Scholar
• Bar-Lev, S. K., E. Bobovitch, and B. Boukai. 2004. A note on randomized response models for quantitative data. Metrika 60 (3):255–60. doi:10.1007/s001840300308.
   Web of Science ®Google Scholar
• Dihidar, K., and J. Chowdhury. 2013. Enhancing a randomized response model to estimate population means to sensitive questions. Mathematical Population Studies 20 (3):123–36. doi:10.1080/08898480.2013.816216.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Feng, S., and G. Zou. 1997. Sample rotation method with auxiliary variable. Communications in Statistics - Theory and Methods 26 (6):1497–509. doi:10.1080/03610929708831996.
   Web of Science ®Google Scholar
• Gjestvang, C. R., and S. Singh. 2007. Forced quantitative randomized response model: A new device. Metrika 66 (2):243–57. doi:10.1007/s00184-006-0108-1.
   Web of Science ®Google Scholar
• Gjestvang, C. R., and S. Singh. 2009. An improved randomized response model: Estimation of mean. Journal of Applied Statistics 36 (12):1361–67. doi:10.1080/02664760802684151.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Gupta, S., B. Gupta, and S. Singh. 2002. Estimation of 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., J. Shabbir, and S. Sehra. 2010. Mean and sensitivity estimation in optional randomized response models. Journal of Statistical Planning and Inference 140 (10):2870–74. doi:10.1016/j.jspi.2010.03.010.
   Web of Science ®Google Scholar
• Gupta, S., and B. Thornton. 2002. Circumventing social desirability response bias in personal interview surveys. American Journal of Mathematical and Management Sciences 22 (3-4):369–83. doi:10.1080/01966324.2002.10737599.
   Google Scholar
• Himmelfarb, S., and S. Edgell. 1980. Additive constant model: A randomized response technique for eliminating evasiveness to quantitative response questions. Psychological Bulletin 87 (3):525–30. doi:10.1037/0033-2909.87.3.525.
   Web of Science ®Google Scholar
• Jessen, R. J. 1942. Statistical investigation of a sample survey for obtaining farm facts. Iowa Agriculture and Home Economics Experiment Station Research Bulletin (304):1–104.
   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
• Patterson, H. D. 1950. Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society. Series B (Methodological) 12 (2):241–55. doi:10.1111/j.2517-6161.1950.tb00058.x.
   Web of Science ®Google Scholar
• Pollock, K. H., and Y. Bek. 1976. A comparison of three randomized response models for quantitative data. Journal of the American Statistical Association 71 (356):884–86. doi:10.1080/01621459.1976.10480963.
   Web of Science ®Google Scholar
• Priyanka, K., and P. Trisandhya. 2019. A composite class of estimators using scrambled response mechanism for sensitive population mean in successive sampling. Communications in Statistics - Theory and Methods 48 (4):1009–32. doi:10.1080/03610926.2017.1422762.
   Web of Science ®Google Scholar
• Priyanka, K., P. Trisandhya, and R. Mittal. 2018. Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques. METRON 76 (2):203–30. doi:10.1007/s40300-017-0131-1.
   Web of Science ®Google Scholar
• Singh, G. N., D. Majhi, S. Maurya, and A. K. Sharma. 2015. Some effective rotation patterns in estimation of population mean in two-occasion successive sampling. Communications in Statistics - Theory and Methods 44 (12):2571–85. doi:10.1080/03610926.2013.785000.
   Web of Science ®Google Scholar
• Singh, G. N., and K. Priyanka. 2008. Search of good rotation patterns to improve the precision of estimates at current occasion. Communications in Statistics - Theory and Methods 37 (3):337–48. doi:10.1080/03610920701653052.
   Web of Science ®Google Scholar
• Singh, G. N., and A. K. Singh. 2016. An improved estimation procedure of population mean in two-occasion successive sampling. Communications in Statistics - Theory and Methods 45 (13):3930–38. doi:10.1080/03610926.2014.911911.
   Web of Science ®Google Scholar
• Singh, G. N., S. Suman, M. Khetan, and C. Paul. 2018. Some estimation procedures of sensitive character using scrambled response techniques in successive sampling. Communications in Statistics - Theory and Methods 47 (8):1830–41. doi:10.1080/03610926.2017.1327073.
   Web of Science ®Google Scholar
• Singh, H., and S. Gorey. 2017. Efficient estimation of population mean of sensitive variable in presence of scrambled responses. Communications in Statistics - Theory and Methods 46 (19):9557–65. doi:10.1080/03610926.2016.1213288.
   Web of Science ®Google Scholar
• Singh, H. P., and T. A. Tarray. 2014. An improved randomized response additive model. Sri Lankan Journal of Applied Statistics 15 (2):131–38. doi:10.4038/sljastats.v15i2.7412.
   Google Scholar
• Singh, H. P., and G. K. Vishwakarma. 2009. A general procedure for estimating population mean in successive sampling. Communications in Statistics - Theory and Methods 38 (2):293–308. doi:10.1080/03610920802169594.
   Web of Science ®Google Scholar
• Singh, V. K., G. N. Singh, and D. Shukla. 1991. An efficient family of ratio-cum-difference type estimators in successive sampling over two occasions. Journal of Scientific Research 41C:149–59.
   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
• Yan, Z., J. Wang, and J. Lai. 2008. An efficiency and protection degree-based comparison among the quantitative randomized response strategies. Communications in Statistics - Theory and Methods 38 (3):400–408. doi:10.1080/03610920802220785.
   Web of Science ®Google Scholar
• Yu, B., Z. Jin, J. Tian, and G. Gao. 2015. Estimation of sensitive proportion by randomized response data in successive sampling. Computational and Mathematical Methods in Medicine 2015 (6):172918.
   PubMedGoogle Scholar