Estimation of finite population mean in stratified sampling using scrambled responses in the presence of measurement errors. Issue 6 (19th March 2019)

• Record Type: Journal Article
• Authors: Khalil, Sadia; Gupta, Sat; Hanif, Muhammad
• Is Part Of: Communications in statistics. Volume 48:Issue 6(2019)
• Page Start: 1553
• Page End: 1561
• Publication Date: 2019-03-19
• Subjects: Efficiency -- mean square error -- measurement error -- randomized response technique -- stratified random sampling.; 62D05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1435817
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: This study focuses on the estimation of population mean of a sensitive variable in stratified random sampling based on randomized response technique (RRT) when the observations are contaminated by measurement errors (ME). A generalized estimator of population mean is proposed by using additively scrambled responses for the sensitive variable. The expressions for the bias and mean square error (MSE) of the proposed estimator are derived. The performance of the proposed estimator is evaluated both theoretically and empirically. Results are also applied to a real data set.