Generating randomized response by inverse Bernoullian trials in unrelated characteristics model

Article Type

Research Article

Publication Title

Model Assisted Statistics and Applications

Abstract

In estimating a finite population proportion of people bearing a stigmatizing characteristic Warner's (1965) Randomized Response (RR) device is well-known when the complementary characteristic is supposedly innocuous. But when both may be sensitive Simmons' Unrelated (URL, in brief) Model RR device is well-known as a feasible alternative. Both devices generate RR's by Bernoullian trials recording data on a match or mis-match of a respondent's true feature and the feature marked on a randomly chosen card drawn from a box placed in front of the person. A recently reported 'alternative' device records instead the first occurrence of a 'match' in repeatedly drawn cards from the box with replacement. This artifice fails with URL model. An amended procedure is presented demonstrating its advantages.

First Page

235

Last Page

245

DOI

10.3233/MAS-160364

Publication Date

1-1-2016

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