IDEAS home Printed from
   My bibliography  Save this article

Efficient Estimation in a Two-Stage Randomized Response Model


  • Sally Abdelfatah
  • Reda Mazloum


A two-stage randomized response model is devised to circumvent the lack of answers to a sensitive question. Respondents who have not answered the sensitive question in the first stage are requested in the second stage to either answer the sensitive question (second attempt then) or to draw a card indicating "yes" or "no". In the latter case, they are required to report the outcome. This apparently innocent device helps to build a more efficient estimator of the proportion of the population having a given sensitive attribute. The procedure also increases the respondents' cooperation. As other estimators of the proportion of the population having a given sensitive attribute using randomized response models, this estimator can formally take values outside the unit interval, a possibility which should not be allowed. The minimum sample size for which the frequency of estimates outside [0,1] is small enough is obtained by simulation.

Suggested Citation

  • Sally Abdelfatah & Reda Mazloum, 2015. "Efficient Estimation in a Two-Stage Randomized Response Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 22(4), pages 234-251, December.
  • Handle: RePEc:taf:mpopst:v:22:y:2015:i:4:p:234-251
    DOI: 10.1080/08898480.2014.953897

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. repec:taf:mpopst:v:23:y:2016:i:4:p:222-238 is not listed on IDEAS

    More about this item


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:mpopst:v:22:y:2015:i:4:p:234-251. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Chris Longhurst). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.