Variance Estimation Procedure Using Scrambled Responses and Multi-Auxiliary Variables In Multi-Phase Sampling

Authors

  • Nadia Mushtaq Department of Statistics, Forman Christian College University, Lahore, Pakistan

DOI:

https://doi.org/10.13052/jrss0974-8024.14110

Keywords:

Variance estimation, multi-auxiliary variables, scrambled randomized response

Abstract

Variations in the population can be estimated by variance estimation. In this study, we consider variance estimation procedure using scrambled randomized response for sensitive variable using multi-auxiliary variables in multi-phase sampling. Under Noor-ul-Amin et al. (2018) RRT model, generalized exponential regression type estimator for case-1and case-2 are derived. A simulation study is presented to illustrate the application and computational details. It is observed that proposed model showed better results under both cases.

Downloads

Download data is not yet available.

Author Biography

Nadia Mushtaq, Department of Statistics, Forman Christian College University, Lahore, Pakistan

Nadia Mushtaq received her MSc and MPhil degrees in Statistics from Quaid-i-Azam University Islamabad, Pakistan and PhD degree in Statistics from National College of Business administration & Economics Lahore, Pakistan. Dr. Mushtaq is currently working as an Assistant Professor at Forman Christian College Lahore, Pakistan. She has more than fifteen years of teaching/research experience at university. Her research interests include sampling techniques, Time series analysis and statistical data analysis using different statistical software such as: SPSS, SAS, Minitab, and R-Language. She published ten research papers in national and international Journals.

References

Asghar, A., Sanaullah, A. and Hanif, M. (2014). Generalized exponential type estimator for population variance in survey sampling. Revista Colombiana de Estadística, 37(1), 213–224.

Das, A.K. and Tripathi, T.P. (1978): Use of auxiliary information in estimating the finite population variance. Sankhya, 40, C, 139–148.

Eichhorn, B.H. and Hayre, L.S. (1983). Scrambled randomized response methods for obtaining sensitive quantitative data. Journal of Statistical Planning and Inference, 7(4), 307–316.

Himmelfarb, S. and Edgell, S.E. (1980). Additive constants model: A randomized response technique for eliminating evasiveness to quantitative response questions. Psychological Bulletin, 87(3), 525–530.

Huang, K.C. (2010). Unbiased estimators of mean, variance and sensitivity level for quantitative characteristics in finite population sampling. Metrika, 71(3), 341–352.

Hussain, Z. (2012). Improvement of the Gupta and Thornton scrambling model through double use of randomization device. International Journal of Academic Research in Business and Social Sciences, 2(6), 91–97.

Isaki, C.T. (1983). Variance estimation using auxiliary information. Journal of the American Statistical Association, 78(381), 117–123.

Shabbir, J., Gupta, S. (2010) Some estimators of finite population variance of stratifed sample mean, Communication in Statistics – Theory and Methods 39, 3001–3008.

Singh, S., Joarder, A.H. (1998). Estimation of finite population variance using random nonresponse in survey sampling, Metrika 47, 241–249, 1998.

Neyman, J. (1938) Contributions to the Theory of Sampling Human Populations. Journal of the American Statistical Association, 33, 101–116.

Noor-ul-Amin, M., Mushtaq, N., and Hanif, M. (2018). Estimation of mean using generalized optional scrambled responses in the presence of nonsensitive auxiliary variable, Journal of Statistics and Management Systems. 21(2), 287–304.

Warner, S.L. (1965). Randomized response: A survey technique for eliminating evasive answer bias. Journal of the American Statistical Association, 60(309), 63–69.

Yadav, S.K., Kadilar, C., Shabbir, J. and Gupta, S. (2015) Improved family of estimators of population variance in simple random sampling. Journal of Statistical Theory and Practice, 9(2), 9219–9226.

Yasmeen, U., Noor-ul-Amin, M., Hanif, M. (2018). Exponential Estimators of Finite Population Variance Using Transformed Auxiliary Variables. Proceedings of the National Academy of Sciences, India Section A: Physical. https://doi.org/10.1007/s4001

Downloads

Published

2021-06-11

How to Cite

Mushtaq, N. . (2021). Variance Estimation Procedure Using Scrambled Responses and Multi-Auxiliary Variables In Multi-Phase Sampling. Journal of Reliability and Statistical Studies, 14(01), 209–222. https://doi.org/10.13052/jrss0974-8024.14110

Issue

Section

Articles