General Randomized Response Techniques Using Polya's Urn Process as a Randomization Device

Mashail M Al-Sobhi, Zawar Hussain and Bander Al-Zahrani

PLOS ONE, 2014, vol. 9, issue 12, 1-11

Abstract: In this paper, interesting improvements in [1] and [2] randomized response techniques have been proposed. The proposed randomized response technique applies Polya's urn process (see [3]) to obtain data from respondents. One of the suggested technique requires reporting the number of draws to observe a fixed number of cards of certain type. On the contrary, the number of cards of a certain type is to be reported in case of second proposed randomized response model. Based on the information collected through the suggested techniques, two different unbiased estimators of proportion of a sensitive attribute have been suggested. A detailed comparative simulation study has also been done. The results are also supported by means of a small scale survey.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0115612

DOI: 10.1371/journal.pone.0115612

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