This paper describes a new procedure to unbiasedly estimate the proportions of t population groups, which at least one is very small and then it can be considered a rare group. This procedure guarantees the privacy protection of the interviewees, as it is based on an extension of the Warner randomized response model. As the estimation regards rare groups, the sampling design considered is the inverse sampling. Some characteristics of the proposed estimators are investigated.
Polisicchio, M., Porro, F. (2014). A Multi-proportion Randomized Response Model Using the Inverse Sampling. In Contributions to Sampling Statistics (pp. 199-218). Springer International Publishing [10.1007/978-3-319-05320-2_13].
A Multi-proportion Randomized Response Model Using the Inverse Sampling
POLISICCHIO, MARCELLAPrimo
;PORRO, FRANCESCOUltimo
2014
Abstract
This paper describes a new procedure to unbiasedly estimate the proportions of t population groups, which at least one is very small and then it can be considered a rare group. This procedure guarantees the privacy protection of the interviewees, as it is based on an extension of the Warner randomized response model. As the estimation regards rare groups, the sampling design considered is the inverse sampling. Some characteristics of the proposed estimators are investigated.
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