Generating randomized response by inverse mechanism

Article type: Research Article

Authors: Chaudhuri, Arijit^{; *} | Dihidar, Kajal

Affiliations: Indian Statistical Institute, Kolkata, India

Correspondence: [*] Corresponding author: Kajal Dihidar, Indian Statistical Institute, Kolkata, India. E-mail: kajaldihidar@gmail.com, dkajal@isical.ac.in.

Abstract: Following the pioneering work of Singh and Grewal [19] we examine how their inverse approach of revising Warner's [22] and Kuk's [8] techniques of directly eliciting a randomized response to unbiasedly estimate a finite population proportion bearing a stigmatizing feature, fares as a viable competitor. We consider sampling by general schemes admitting positive inclusion probabilities for single and paired persons facilitating estimation. Our live-data based numerical presentations suggest Singh and Grewal's [19] approach as quite promising.

Keywords: Geometric distribution, inverse randomized response, sampling permitted with unequal probabilities, sensitive attributes

DOI: 10.3233/MAS-140305

Journal: Model Assisted Statistics and Applications, vol. 9, no. 4, pp. 343-351, 2014