Randomized response model in a matched pair study

The development of randomized response models for personal interview surveys has attracted much attention since the pioneering work of Warner [1965. Randomized response: a survey technique for eliminating evasive answer bias. J. Amer. Statist. Assoc. 60, 63–69]. Several randomized response models have been developed by researchers for collecting data on both qualitative and the quantitative variables, but none of these models discuss matched pair data. In this paper, we develop a new randomized response model and study its application to an important political question.