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Computational and Mathematical Methods in Medicine
Volume 2015 (2015), Article ID 172918, 6 pages
http://dx.doi.org/10.1155/2015/172918
Research Article

Estimation of Sensitive Proportion by Randomized Response Data in Successive Sampling

1School of Public Health, Medical College, Soochow University, Suzhou 215123, China
2School of Mathematical Sciences, Dezhou University, Dezhou 253023, China
3Department of Public Health, Zhejiang Medical College, Hangzhou 310053, China
4Critical Care Medicine, People’s Hospital of Linshu County, Linyi, Shandong 276700, China

Received 31 October 2014; Revised 22 November 2014; Accepted 5 December 2014

Academic Editor: Yi Gao

Copyright © 2015 Bo Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. L. Warner, “Randomized response: a survey technique for eliminating evasive answer bias,” Journal of the American Statistical Association, vol. 60, no. 309, pp. 63–69, 1965. View at Publisher · View at Google Scholar · View at Scopus
  2. T. C. Christofides, “A generalized randomized response technique,” Metrika, vol. 57, no. 2, pp. 195–200, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. T. C. Christofides, “Randomized response in stratified sampling,” Journal of Statistical Planning and Inference, vol. 128, no. 1, pp. 303–310, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. G. N. Singh, “On the use of chain-type ratio to difference estimator in successive sampling,” International Journal of Applied Mathematics and Statistics, vol. 6, pp. 41–49, 2006. View at Google Scholar
  5. J.-M. Kim and M. E. Elam, “A stratified unrelated question randomized response model,” Statistical Papers, vol. 48, no. 2, pp. 215–233, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. K.-C. Huang, “Estimation for sensitive characteristics using optional randomized response technique,” Quality and Quantity, vol. 42, no. 5, pp. 679–686, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. K.-C. Huang, “Unbiased estimators of mean, variance and sensitivity level for quantitative characteristics in finite population sampling,” Metrika, vol. 71, no. 3, pp. 341–352, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. S. Singh and S. A. Sedory, “A true simulation study of three estimators at equal protection of respondents in randomized response sampling,” Statistica Neerlandica, vol. 66, no. 4, pp. 442–451, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. H.-J. Chang and M.-P. Kuo, “Estimation of population proportion in randomized response sampling using weighted confidence interval construction,” Metrika, vol. 75, no. 5, pp. 655–672, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. R. Arnab, S. Singh, and D. North, “Use of two decks of cards in randomized response techniques for complex survey designs,” Communications in Statistics. Theory and Methods, vol. 41, no. 16-17, pp. 3198–3210, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. R. J. Jessen, “Statistical investigation of a survey for obtaining farm facts,” Iowa Agricultural Experiment Station Research Bulletin, vol. 304, pp. 1–104, 1942. View at Google Scholar
  12. F. Yates, Sampling Methods for Censuses and Surveys, Charles Griffin, London, UK, 1949.
  13. R. D. Narain, “On the recurrence formula in sampling on successive occasions,” Journal of the Indian Society of Agricultural Statistics, vol. 5, pp. 96–99, 1953. View at Google Scholar · View at MathSciNet
  14. D. Raj, “On sampling over two occasions with probability proportionate to size,” Annals of Mathematical Statistics, vol. 36, pp. 327–330, 1965. View at Publisher · View at Google Scholar · View at MathSciNet
  15. D. Singh, “Estimates in successive sampling using a multi-stage design,” Journal of the American Statistical Association, vol. 63, pp. 99–112, 1968. View at Google Scholar · View at MathSciNet
  16. P. D. Ghangurde and J. N. Rao, “Some results on sampling over two occasions,” Sankhya, vol. 31, pp. 463–472, 1969. View at Google Scholar · View at MathSciNet
  17. F. C. Okafor, “The theory and application of sampling over two occasions for the estimation of current population ratio,” Statistica, vol. 42, pp. 137–147, 1992. View at Google Scholar · View at MathSciNet
  18. R. Arnab and F. C. Okafor, “A note on double sampling over two occasions,” Pakistan Journal of Statistics, vol. 8, no. 3, pp. 9–18, 1992. View at Google Scholar · View at MathSciNet
  19. R. S. Biradar and H. P. Singh, “Successive sampling using auxiliary information on both the occasions,” Calcutta Statistical Association Bulletin, vol. 51, no. 203-204, pp. 243–251, 2001. View at Google Scholar · View at MathSciNet
  20. G. N. Singh and V. K. Singh, “On the use of auxiliary information in successive sampling,” Journal of the Indian Society of Agricultural Statistics, vol. 54, no. 1, pp. 1–12, 2001. View at Google Scholar · View at MathSciNet
  21. R. Artes, M. Eva, L. Garcia, and V. Amelia, “Estimation of current population ratio in successive sampling,” Journal of the Indian Society of Agricultural Statistics, vol. 54, no. 3, pp. 342–354, 2001. View at Google Scholar · View at MathSciNet
  22. H. P. Singh, R. Tailor, S. Singh, and J.-M. Kim, “Estimation of population variance in successive sampling,” Quality & Quantity, vol. 45, no. 3, pp. 477–494, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. D. G. Horvitz, B. V. Shah, and W. R. Simmons, “The unrelated question randomized response model,” Proceedings of the Social Statistics Section: American Statistical Association, vol. 326, pp. 65–72, 1967. View at Google Scholar
  24. W. G. Cochran, Sampling Techniques, John Wiley & Sons, New York, NY, USA, 3rd edition, 1977. View at MathSciNet
  25. Z. Du, Sampling Techniques and Its Application, Tsinghua University Press, Beijing, China, 1st edition, 2005.