A Two-Stage Sequential Sampling Scheme for Warner's Randomized Response Model

Abstract

In this article we revisit Warner's (Warner, S. L. (1965). Randomized response: a survey technique for elimination evasive answer bias. Journal of the American Statistical Association 60:63–69) randomize response model for estimating the proportion of “sensitive” attributed in a population and propose a two-stage sequential sampling procedure for it. We show that the new procedure can potentially reduce, on the average, the number of interviewees surveyed in the study while allowing instances with smaller error of estimation. The properties and some of the attractive features of the randomized response two-stage sequential sampling estimation procedure is discussed as illustrated.

Keywords:

• Sampling surveys
• Randomized response
• Sequential procedure
• Maximum likelihood estimator