Some improved additive randomized response models utilizing higher order moments ratios of scrambling variable

Issue title: Warner's Randomized Response Model

Guest editors: Arijit Chaudhuri

Article type: Research Article

Authors: Tarray, Tanveer A.^{a; *} | Singh, Housila P.^b

Affiliations: [a] Department of Computer Science and Engineering, Islamic University of Science and Technology, Kashmir, India | [b] School of Studies in Statistics, Vikram University, Ujjain, India

Correspondence: [*] Corresponding author: Tanveer A. Tarray, Department of Computer Science and Engineering, Islamic University of Science and Technology, Awantipora, Pulwama, Kashmir 192122, India. E-mail:tanveerstat@gmail.com

Abstract: In this article, some new randomized response models have been proposed. Properties of the proposed randomized response models have been studied. The proposed models are found to be more efficient than the randomized response models studied by Himmelfarb and Edgell [1], Gjestvang and Singh [2] and Singh [3] under certain realistic conditions. Numerical illustrations are also given in support of the present study.

Keywords: Randomized response sampling, estimation of proportion, respondents protection, sensitive quantitative variable

DOI: 10.3233/MAS-150339

Journal: Model Assisted Statistics and Applications, vol. 10, no. 4, pp. 361-383, 2015