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

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  • Mashail M Al-Sobhi
  • Zawar Hussain
  • Bander Al-Zahrani

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.

Suggested Citation

  • Mashail M Al-Sobhi & Zawar Hussain & Bander Al-Zahrani, 2014. "General Randomized Response Techniques Using Polya's Urn Process as a Randomization Device," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-11, December.
  • Handle: RePEc:plo:pone00:0115612
    DOI: 10.1371/journal.pone.0115612
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