Vol. 12, No. 7, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 8, 1261–1439
Issue 7, 1081–1260
Issue 6, 901–1080
Issue 5, 721–899
Issue 4, 541–720
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
 
Other MSP Journals
A binary unrelated-question RRT model accounting for untruthful responding

Amber Young, Sat Gupta and Ryan Parks

Vol. 12 (2019), No. 7, 1163–1173
Abstract

Estimating the prevalence of a sensitive trait in a population is not a simple task due to the general tendency among survey respondents to answer sensitive questions in a way that is socially desirable. Use of randomized response techniques (RRT) is one of several approaches for reducing the impact of this tendency. However, despite the additional privacy provided by RRT models, some respondents may still provide an untruthful response. We consider the impact of untruthful responding on binary unrelated-question RRT models and observe that even if only a small number of respondents lie, a significant bias may be introduced to the model. We propose a binary unrelated-question model that accounts for those respondents who may respond untruthfully. This adds an extra layer of precaution to the estimation of the sensitive trait and decreases the importance of presurvey respondent training. Our results are validated using a simulation study.

Keywords
model efficiency, optional randomized response models, unrelated-question RRT model, untruthful responding
Mathematical Subject Classification 2010
Primary: 62D05
Milestones
Received: 2 November 2018
Revised: 23 March 2019
Accepted: 1 May 2019
Published: 12 October 2019

Communicated by Javier Rojo
Authors
Amber Young
Department of Statistics
Purdue University
West Lafayette, IN
United States
Sat Gupta
Department of Mathematics and Statistics
University of North Carolina
Greensboro, NC
United States
Ryan Parks
Department of Mathematics and Statistics
University of North Carolina
Greensboro, NC
United States