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

Shaul K. Bar-Lev, Elizabeta Bobovich, Benzion Boukai

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2373-2387
Number of pages15
JournalCommunications in Statistics - Theory and Methods
Issue number12
StatePublished - Dec 2003


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

ASJC Scopus subject areas

  • Statistics and Probability


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