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Surveys with negative questions for sensitive items

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  • Esponda, Fernando
  • Guerrero, Victor M.

Abstract

This paper proposes a strategy for administering a survey that is mindful of sensitive data and individual privacy. The survey seeks to estimate the population proportion of a sensitive variable and does not depend on anonymity, cryptography, or legal guarantees for its privacy preserving properties. Our technique presents interviewees with a question and t possible answers, and asks participants to eliminate one of the t-1 alternatives at random. We introduce a specific setup that requires just a single coin as randomizing device, and that limits the amount of information each respondent is exposed to by presenting to her/him only a subset of the question's alternatives. Finally we conduct a simulation study to provide evidence of the robustness against the response and the non-response bias of the suggested procedure.

Suggested Citation

  • Esponda, Fernando & Guerrero, Victor M., 2009. "Surveys with negative questions for sensitive items," Statistics & Probability Letters, Elsevier, vol. 79(24), pages 2456-2461, December.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:24:p:2456-2461
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    References listed on IDEAS

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    1. Christopher R. Gjestvang & Sarjinder Singh, 2006. "A new randomized response model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(3), pages 523-530, June.
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    Cited by:

    1. Andreas Lagerås & Mathias Lindholm, 2020. "How to ask sensitive multiple‐choice questions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(2), pages 397-424, June.
    2. Bao, Yafei & Luo, Wenjian & Zhang, Xin, 2013. "Estimating positive surveys from negative surveys," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 551-558.

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