A mixture binary RRT model with a unified measure of privacy and efficiency

Abstract

In this study, we introduce a mixture binary Randomized Response Technique (RRT) model by combining the elements of the Greenberg Unrelated Question model and the Warner Indirect Question model. We also account for untruthful responding in the proposed model. A unified measure of model efficiency and respondent privacy is also presented. Finally, we present a simulation study to validate the theoretical findings.

Keywords:

• Mean square error
• Randomized response models
• Respondent privacy
• Simulations

AMS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgements

The authors are thankful to the reviewers for their critical reading of the paper and their suggestions.

Additional information

Funding

This research was supported by NSF grant (DMS - 1950549).