Logistic Randomized Response Model

  • Zai-zai Yan
  • Peng-hao Ji
Part of the Advances in Soft Computing book series (AINSC, volume 54)


Sensitive topics or highly personal questions are often faced in medical psychological and socio-economic survey. Warner’s pioneering randomized response (RR) device, as a method for reducing evasive answer bias while estimating the proportion of people in a community bearing a sensitive attribute, has been studied extensively over the last four decades. This paper proposes a new model (named the logistic model) for survey sampling with sensitive characteristics, and provides the suitable estimators for estimating an unknown proportion of people bearing a sensitive characteristic in a given community. That is a development for some existing research results concerning the randomized response theory. A numerical study comparing the performance of the proposed procedure and Warner’s (1965)[10]procedure is reported.


Warner’s randomized response technique Sensitive variable Auxiliary variable Estimation of proportion 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Zai-zai Yan
    • 1
    • 2
  • Peng-hao Ji
    • 1
  1. 1.Science College of Inner Mongolia university of technologyHohhotP.R. China
  2. 2.Management College of Inner Mongolia university of technologyHohhotP.R. China

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