Year 2018,
Volume: 47 Issue: 3, 675 - 684, 01.06.2018
Noreen Naeem
Javid Shabbir
References
- 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.
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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)
Use of scrambled responses on two occasions successive sampling under non-response
Year 2018,
Volume: 47 Issue: 3, 675 - 684, 01.06.2018
Noreen Naeem
Javid Shabbir
Abstract
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.
References
- 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)