Some imputation methods to deal with the issue of missing data problems due to random non-response in two-occasion successive sampling

References

• Ahmed, M. S., O. Al-Titib, Z. Al-Rawib, and W. Abu-Dayyehb. 2005. Estimation of finite population variance in presence of random non-response using auxiliary variables. International Journal of Information and Management Sciences 16 (2):73–82.
   Google Scholar
• Biradar, R. S., and H. P. Singh. 2001. Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin 51 (3–4):243–52.
   Google Scholar
• Chaturvedi, D. K., and T. P. Tripathi. 1983. Estimation of population ratio on two occasions using multivariate auxiliary information. Journal of Indian Statistical Association 21:113–20.
   Google Scholar
• Diana, G., and P. F. Perri. 2010. Improved estimators of the population mean for missing data. Communications in Statistics - Theory and Methods 39 (18):3245–51.
   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
• Heitjan, D. F., and S. Basu. 1996. Distinguishing “missing at random” and “missing completely at random. The American Statistician 50 (3):207–13.
   Web of Science ®Google Scholar
• Jessen, R. J. 1942. Statistical investigation of a sample survey for obtaining farm facts. Research Bulletin (Iowa Agricultural Experiment Station) 26 (304):Article 1.
   Google Scholar
• Lee, H., E. Rancourt, and C. E. Sarndall. 1994. Experiments with variance estimation from survey data with imputed values. Journal of Official Statistics 10 (3):231–43.
   Google Scholar
• Murthy, M. N. 1967. Sampling theory and methods. Calcutta, India: Statistical Publishing Society.
   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
• Reddy, V. N. 1978. A study on the use of prior knowledge on certain population parameters in estimation. Sankhya Series C 40:29–37.
   Google Scholar
• Rubin, D. B. 1976. Inference and missing data. Biometrika 63 (3):581–92. doi:10.1093/biomet/63.3.581.
   Web of Science ®Google Scholar
• Sande, I. G. 1979. A personal view of hot deck imputation procedures. Survey Methodology 5 (2):238–58.
   Google Scholar
• Sen, A. R. 1971. Successive sampling with two auxiliary variables. Sankhya Series B 33:371–78.
   Google Scholar
• Sen, A. R. 1972. Successive sampling with p (p ≥ 1) auxiliary variables. The Annals of Mathematical Statistics 43 (6):2031–4. doi:10.1214/aoms/1177690878.
   Google Scholar
• Sen, A. R. 1973. Some theory of sampling on successive occasions. Australian Journal of Statistics 15 (2):105–10. doi:10.1111/j.1467-842X.1973.tb00014.x.
   Google Scholar
• Singh, G. N., and M. Khalid. 2018. An effective estimation strategy for population mean under random non-response situations in two-phase successive sampling. Communications in Statistics – Theory and Methods 47 (19):4641–60. doi:10.1080/03610926.2018.1444179.
   Web of Science ®Google Scholar
• Singh, G. N., and M. Khalid. 2019. Effective estimation strategy of population variance in two-phase successive sampling under random non-response. Journal of Statistical Theory and Practice 13 (1):1–28. doi:10.1007/s42519-018-0010-y.
   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, H. P., P. Chandra, A. H. Joarder, and S. Singh. 2007. Family of estimators of mean, ratio and product of a finite population using random nonresponse. Test 16 (3):565–97. doi:10.1007/s11749-006-0020-z.
   Web of Science ®Google Scholar
• Singh, H. P., and D. S. Tracy. 2001. Estimation of population mean in presence of random non-response in sample surveys. Statistica 61 (2):238–41.
   Google Scholar
• Singh, H. P., and G. K. Vishwakarma. 2007. A general class of estimators in successive sampling. Metron LXV (2):201–27.
   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.
   Web of Science ®Google Scholar
• Singh, H. P., R. Tailor, J. M. Kim, and S. Singh. 2012. Families of estimators of finite population variance using a random non-response in survey sampling. Korean Journal of Applied Statistics 25 (4):681–95. doi:10.5351/KJAS.2012.25.4.681.
   Google Scholar
• Singh, S. 2009. A new method of imputation in survey sampling. Statistics 43 (5):499–511. doi:10.1080/02331880802605114.
   Web of Science ®Google Scholar
• Singh, S., and A. H. Joarder. 1998. Estimation of finite population variance using random non-response in survey sampling. Metrika 47 (1):241–49. doi:10.1007/BF02742876.
   Web of Science ®Google Scholar
• Singh, S., A. H. Jorder, and D. S. Tracy. 2000. Regression type estimators for random non-response in survey sampling. Statistica LX (1):39–43.
   Google Scholar
• Sitter, R. R., and J. N. K. Rao. 1997. Imputation for missing values and corresponding variance estimation. Canadian Journal of Statistics 25 (1):61–73. doi:10.2307/3315353.
   Web of Science ®Google Scholar
• Sohail, M. U., J. Shabbir, and C. Kadilar. 2019. Homogeneous imputation under two phase probability proportional to size sampling. Hacettepe Journal of Mathematics and Statistics 48 (5):1522–46. doi:10.15672/hujms.465609.
   Web of Science ®Google Scholar
• Srivastava, S. K. 1971. A generalized estimator for the mean of finite population using multi-auxiliary information. Journal of the American Statistical Association 66 (334):404–407. doi:10.1080/01621459.1971.10482277.
   Web of Science ®Google Scholar
• Srivastava, S. K., and H. S. Jhajj. 1980. A class of estimators using auxiliary information for estimating finite population variance. Sankhya Series C 42 (1–2):87–96.
   Google Scholar
• Sukhatme, P. V., and B. V. Sukhatme. 1970. Sampling theory of surveys with applications. India: Asia Publishing House.
   Google Scholar
• Tracy, D. S., and S. S. Osahan. 1994. Random non-response on study variable versus on study as well as auxiliary variables. Statistica 54 (2):163–68.
   Google Scholar