In this chapter, RR techniques involving more than one response from each of the respondents are considered. The most general model for multiple randomized responses, along with the general method of estimation, is proposed in detail. Details of Franklins’ (1989a, 1989b) RR model are provided. Applications of Franklin’s model to various sampling designs are also presented. In particular, uses of the binomial, negative binomial, geometric, hypergeometric, negative hypergeometric, and Polya’s urn processes in Franklin’s model are proposed. Kuk (1990) model and methods of improvement over Kuk’s model by Arnab (2018) are also presented. A balanced RR model for improving cooperation from respondents is proposed.

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RR Techniques with Repeated Trials

  • Raghunath Arnab

摘要

In this chapter, RR techniques involving more than one response from each of the respondents are considered. The most general model for multiple randomized responses, along with the general method of estimation, is proposed in detail. Details of Franklins’ (1989a, 1989b) RR model are provided. Applications of Franklin’s model to various sampling designs are also presented. In particular, uses of the binomial, negative binomial, geometric, hypergeometric, negative hypergeometric, and Polya’s urn processes in Franklin’s model are proposed. Kuk (1990) model and methods of improvement over Kuk’s model by Arnab (2018) are also presented. A balanced RR model for improving cooperation from respondents is proposed.