Vol. 6, No. 4, 2013

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Optional unrelated-question randomized response models

Sat Gupta, Anna Tuck, Tracy Spears Gill and Mary Crowe

Vol. 6 (2013), No. 4, 483–492
Abstract

We propose a generalization of Greenberg’s unrelated-question randomized response model allowing subjects the option of giving a correct response if they find the survey question nonsensitive, and to give a scrambled response if they find the question sensitive. Models are provided for both the binary response and the quantitative response situations. Mathematical properties of the proposed models are examined and validated with computer simulations.

Keywords
parameter estimation, randomized response technique, unrelated-question model, optional scrambling
Mathematical Subject Classification 2010
Primary: 62D05
Milestones
Received: 1 October 2012
Revised: 5 November 2012
Accepted: 8 November 2012
Published: 8 October 2013

Communicated by Kenneth S. Berenhaut
Authors
Sat Gupta
Department of Mathematics and Statistics
University of North Carolina at Greensboro
317 College Avenue
Greensboro, NC 27412
United States
Anna Tuck
Department of Biostatistics
University of Washington
1705 NE Pacific Street
Seattle, Washington 98195
United States
Tracy Spears Gill
School of Nursing
University of North Carolina at Greensboro
P.O. Box 26170
Greensboro, NC 27402
United States
Mary Crowe
Department of Biostatistics
University of North Carolina at Chapel Hill
135 Dauer Drive
Chapel Hill, NC 27599
United States