An improved binary randomized response model using six decks of cards. Issue 4 (21st April 2017)

• Record Type: Journal Article
• Authors: Batool, Fatima; Shabbir, Javid; Hussain, Zawar
• Is Part Of: Communications in statistics. Volume 46:Issue 4(2017)
• Page Start: 2548
• Page End: 2562
• Publication Date: 2017-04-21
• Subjects: Estimation of proportion -- Percentage relative efficiency -- Six decks of cards -- Squared distance -- Stratified randomized response model -- Two-stage randomized response design; Primary 62D05; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2015.1053922
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: This article purposes the estimation of population proportion of a sensitive attribute through randomized response technique. An efficient estimator is suggested using six decks of cards to randomise the response. Many existing models can now be viewed as the special case of the proposed model. The superiority of the proposed procedure is established through numerical calculation of percentage relative efficiency with prominent competitors. The proposed procedure is also studied under stratified random sampling protocol. In addition, it is shown that, the proposed stratified estimator, performs better in term of efficiency than its only existing two deck stratified competitor.