Optional unrelated-question randomized response models

S Gupta, A Tuck, T Gill, M Crowe - Involve, a Journal of Mathematics, 2013 - msp.org
S Gupta, A Tuck, T Gill, M Crowe
Involve, a Journal of Mathematics, 2013msp.org
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.
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.
Mathematical Sciences Publishers
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