Randomized Response Group Testing Model

Abstract

In this article, we propose randomized response–group testing (RR-GT) models. Randomized response technique and the group testing method have long been recognized as sampling schemes that can provide substantial benefits. In order to obtain both confidentiality and economic benefits from a sensitive issue survey sampling, we incorporate the group testing method into the most popular two randomized response models, which are Warner's RR model and unrelated question RR model. Empirical comparisons are provided and discussed.

Keywords:

• 62D05

Keywords:

• Randomized response
• group testing
• confidentiality
• maximum likelihood
• sensitive questions

Acknowledgments

The authors are thankful to to the editor in chief, Professor Sat Gupta, and two anonymous learned referees for the valuable comments on the original version of this article, which led to substantial improvement.