Use of scrambled response model in estimating the finite population mean in presence of non response when coefficient of variation is known. Issue 17 (2nd September 2017)

• Record Type: Journal Article
• Authors: Ahmed, Shakeel; Shabbir, Javid; Gupta, Sat
• Is Part Of: Communications in statistics. Volume 46:Issue 17(2017)
• Page Start: 8435
• Page End: 8449
• Publication Date: 2017-09-02
• Subjects: Coefficient of variation -- Generalized ratio- and regression-type estimators -- Non-response -- Privacy protection -- Scrambled response.; 62D05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1183782
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We propose an estimator for the finite population mean utilizing known coefficient of variation of the study character in case of quantitative sensitive variable considering a randomization mechanism on the second call that provides privacy protection to the respondents to get truthful information. We also propose generalized ratio- and regression-type estimators under two-phase sampling scheme. The conditions under which the proposed estimators are more efficient than the relevant estimators under scrambled response model have been obtained. An empirical study is carried out to evaluate performances of the estimators.