On efficacy of empirical Bayes estimation of a finite population mean of a sensitive variable through randomized responses

Issue title: Warner's Randomized Response Model

Guest editors: Arijit Chaudhuri

Article type: Research Article

Authors: Chaudhuri, Arijit^{a; *} | Pal, Sanghamitra^b

Affiliations: [a] Indian Statistical Institute, Kolkata, India | [b] Department of Statistics, West Bengal State University, West Bengal, India

Correspondence: [*] Corresponding author: Arijit Chaudhuri, Indian Statistical Institute, Kolkata, India. E-mail:arijitchaudhuri1@rediffmail.com

Abstract: In a social survey an unequal probability sample is supposedly at hand. The problem of utilizing it to estimate the finite population mean of a stigmatizing variable has a known solution admitting assessment of accuracy level. Here we examine improvement by Empirical Bayes procedure, exploiting available data on a correlated variable while using a randomized response technique to gather data on the main variable of interest.

Keywords: Auxiliary data, empirical Bayes, randomized response, sensitive variable, varying probability sampling

DOI: 10.3233/MAS-150332

Journal: Model Assisted Statistics and Applications, vol. 10, no. 4, pp. 283-288, 2015