Use of scrambled responses on two occasions successive sampling under non-response

In this paper, we deal with a problem of non-response on two successive occasions when the study character becomes sensitive in nature on second occasion. Estimators are formulated by considering two cases of non-response, (i) when non-response on both occasions, (ii) when non-response on current occasion only. Expressions for mean squared errors (MSEs) are derived under large sample approximation and the optimum replacement strategies are also discussed. A numerical study is carried out in support of the proposed technique.

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  • Bandyopadhyay, A. and Singh, G. N. Estimation of population mean in presence of non response in two-occasion successive sampling, Recent Advances in Information Technology, 109-116, 2014.
  • Choudhary, R., Bathla, H., and Sud, U. On non-response in sampling on two occasions, Journal of the Indian Society of Agricultural Statistics, 58 (3), 331-343, 2004.
  • Diana, G. and Perri, P. F. New scrambled response models for estimating the mean of a sensitive quantitative character, Journal of Applied Statistics, 37 (11), 1875-1890.
  • Diana, G., Riaz, S., and Shabbir, J. Hansen and hurwitz estimator with scrambled response on the second call, Journal of Applied Statistics, 41(3), 596-611, 2014.
  • FBI. Violations of the Federal Bank Robbery and Incidental Crime Statute, Federal Bereau of Investigation, 2011.
  • Feng, S. and Zou, G. Sample rotation method with auxiliary variable, Communications in Statistics-Theory and Methods, 26 (6), 1497-1509, 1997.
  • Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys. Journal of the American Statistical Association, 41 (236), 517-529, 1946.
  • Jessen, R. J. Statistical investigation of a sample survey for obtaining farm facts, Retro- spective Theses and Dissertations, 1943.
  • Patterson, H. Sampling on successive occasions with partial replacement of units, Journal of the Royal Statistical Society, 12 (2), 241-255, 1950.
  • Prabhu-Ajgaonkar, S. The theory of univariate sampling on successive occasions under the general correlation pattern 1, 2, Australian Journal of Statistics, 10 (2), 56-63, 1968.
  • Rao, J. and Graham, J. E. Rotation designs for sampling on repeated occasions. Journal of the American Statistical Association, 59 (306), 492-509, 1964.
  • Sen, A. Some theory of sampling on successive occasions, Australian Journal of Statistics, 15 (2), 105-110, 1973.
  • Singh, G. N., Majhi, D., Maurya, S., and Sharma, A. Some eective rotation patterns in estimation of population mean in two-occasion successive sampling. Communications in Statistics-Theory and Methods, 44 (12), 2571-2585, (2015).
  • Singh, G. N. and Sharma, A. An alternative rotation patterns in two occasions successive sampling, International Journal of Mathematics and Statistics. 15(3), 9-22, 2014.
  • Singh, G. N. and Karna, J. P. Some imputation methods to minimize the eect of non- response in two occasion rotation patterns, Communications in Statistics-Theory and Meth- ods, 39(18), 3264-3281, 2010.
  • Tikkiwal, B. Theory of multiphase sampling from a nite or an innite population on successive occasions 1, 2, Revue de l'Institut International de Statistique, 247-263, 1967.
  • Yates, F. Sampling methods for censuses and surveys, Charles Grin & Co. Ltd., London, (1949)