A Family of Estimators of a Sensitive Variable Using Auxiliary Information in Stratified Random Sampling
Abstract
In this article, a combined general family of estimators is proposed for estimating finite population mean of a sensitive variable in stratified random sampling with non-sensitive auxiliary variable based on randomized response technique. Under stratified random sampling without replacement scheme, the expression of bias and mean square error (MSE) up to the first-order approximations are derived. Theoretical and empirical results through a simulation study show that the proposed class of estimators is more efficient than the existing estimators, i.e., usual stratified random sample mean estimator, Sousa et al (2014) ratio and regression estimator of the sensitive variable in stratified sampling.
Keywords
Stratified Random Sampling, Sensitive Variable, Randomized Response Technique.
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PDFDOI: http://dx.doi.org/10.18187/pjsor.v13i1.1532
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Title
A Family of Estimators of a Sensitive Variable Using Auxiliary Information in Stratified Random Sampling
Keywords
Stratified Random Sampling, Sensitive Variable, Randomized Response Technique.
Description
In this article, a combined general family of estimators is proposed for estimating finite population mean of a sensitive variable in stratified random sampling with non-sensitive auxiliary variable based on randomized response technique. Under stratified random sampling without replacement scheme, the expression of bias and mean square error (MSE) up to the first-order approximations are derived. Theoretical and empirical results through a simulation study show that the proposed class of estimators is more efficient than the existing estimators, i.e., usual stratified random sample mean estimator, Sousa et al (2014) ratio and regression estimator of the sensitive variable in stratified sampling.
Date
2017-03-01
Identifier
Source
Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 1, 2017
Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810