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Design and Analysis of the Randomized Response Technique

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  • Graeme Blair
  • Kosuke Imai
  • Yang-Yang Zhou

Abstract

About a half century ago, in 1965, Warner proposed the randomized response method as a survey technique to reduce potential bias due to nonresponse and social desirability when asking questions about sensitive behaviors and beliefs. This method asks respondents to use a randomization device, such as a coin flip, whose outcome is unobserved by the interviewer. By introducing random noise, the method conceals individual responses and protects respondent privacy. While numerous methodological advances have been made, we find surprisingly few applications of this promising survey technique. In this article, we address this gap by (1) reviewing standard designs available to applied researchers, (2) developing various multivariate regression techniques for substantive analyses, (3) proposing power analyses to help improve research designs, (4) presenting new robust designs that are based on less stringent assumptions than those of the standard designs, and (5) making all described methods available through open-source software. We illustrate some of these methods with an original survey about militant groups in Nigeria.

Suggested Citation

  • Graeme Blair & Kosuke Imai & Yang-Yang Zhou, 2015. "Design and Analysis of the Randomized Response Technique," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(511), pages 1304-1319, September.
  • Handle: RePEc:taf:jnlasa:v:110:y:2015:i:511:p:1304-1319
    DOI: 10.1080/01621459.2015.1050028
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    Cited by:

    1. Chuang, Erica & Dupas, Pascaline & Huillery, Elise & Seban, Juliette, 2021. "Sex, lies, and measurement: Consistency tests for indirect response survey methods," Journal of Development Economics, Elsevier, vol. 148(C).
    2. Burgstaller, Lilith & Feld, Lars P. & Pfeil, Katharina, 2022. "Working in the shadow: Survey techniques for measuring and explaining undeclared work," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 661-671.
    3. Sylvain Chassang & Christian Zehnder, 2019. "Secure Survey Design in Organizations: Theory and Experiments," Working Papers 2019-22, Princeton University. Economics Department..
    4. Truong-Nhat Le & Shen-Ming Lee & Phuoc-Loc Tran & Chin-Shang Li, 2023. "Randomized Response Techniques: A Systematic Review from the Pioneering Work of Warner (1965) to the Present," Mathematics, MDPI, vol. 11(7), pages 1-26, April.
    5. Sarah Brierley, 2020. "Unprincipled Principals: Co‐opted Bureaucrats and Corruption in Ghana," American Journal of Political Science, John Wiley & Sons, vol. 64(2), pages 209-222, April.
    6. Mahesh Karra & David Canning & Ryoko Sato, 2020. "Adding measurement error to location data to protect subject confidentiality while allowing for consistent estimation of exposure effects," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 69(5), pages 1251-1268, November.
    7. Ivar Krumpal & Thomas Voss, 2020. "Sensitive Questions and Trust: Explaining Respondents’ Behavior in Randomized Response Surveys," SAGE Open, , vol. 10(3), pages 21582440209, July.
    8. Laura Boudreau & Sylvain Chassang & Ada González-Torre & Rachel Heath, 2023. "Monitoring Harassment in Organizations," Working Papers 2022-19, Princeton University. Economics Department..
    9. Andy C. Y. Chong & Amanda M. Y. Chu & Mike K. P. So & Ray S. W. Chung, 2019. "Asking Sensitive Questions Using the Randomized Response Approach in Public Health Research: An Empirical Study on the Factors of Illegal Waste Disposal," IJERPH, MDPI, vol. 16(6), pages 1-15, March.
    10. Shen‐Ming Lee & Truong‐Nhat Le & Phuoc‐Loc Tran & Chin‐Shang Li, 2022. "Investigating the association of a sensitive attribute with a random variable using the Christofides generalised randomised response design and Bayesian methods," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(5), pages 1471-1502, November.
    11. Amanda M. Y. Chu & Mike K. P. So & Ray S. W. Chung, 2018. "Applying the Randomized Response Technique in Business Ethics Research: The Misuse of Information Systems Resources in the Workplace," Journal of Business Ethics, Springer, vol. 151(1), pages 195-212, August.
    12. Johanna Choumert-Nkolo & Pascale Phelinas, 2018. "New paradigms for household surveys in low and middle income countries [Nouveaux paradigmes d'élaboration des enquêtes ménages dans les pays du Sud]," Working Papers halshs-01888609, HAL.
    13. Marc Höglinger & Ben Jann, 2018. "More is not always better: An experimental individual-level validation of the randomized response technique and the crosswise model," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-22, August.
    14. Ó Ceallaigh, Diarmaid & Timmons, Shane & Robertson, Deirdre & Lunn, Pete, 2023. "Problem gambling: A narrative review of important policy-relevant issues," Research Series, Economic and Social Research Institute (ESRI), number SUSTAT119, June.
    15. Chu, Amanda M.Y. & Omori, Yasuhiro & So, Hing-yu & So, Mike K.P., 2023. "A Multivariate Randomized Response Model for Sensitive Binary Data," Econometrics and Statistics, Elsevier, vol. 27(C), pages 16-35.
    16. Shen-Ming Lee & Phuoc-Loc Tran & Truong-Nhat Le & Chin-Shang Li, 2023. "Prediction of a Sensitive Feature under Indirect Questioning via Warner’s Randomized Response Technique and Latent Class Model," Mathematics, MDPI, vol. 11(2), pages 1-21, January.
    17. Balgobin Nandram & Yuan Yu, 2019. "Bayesian Analysis of Sparse Counts Obtained From the Unrelated Question Design," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 66-84, September.
    18. Sylvain Chassang & Christian Zehnder, 2019. "Secure Survey Design in Organizations: Theory and Experiments," NBER Working Papers 25918, National Bureau of Economic Research, Inc.
    19. Matthew J. Schneider & Dawn Iacobucci, 2020. "Protecting survey data on a consumer level," Journal of Marketing Analytics, Palgrave Macmillan, vol. 8(1), pages 3-17, March.
    20. Kim, Sahrok & Praveen Parboteeah, K. & Cullen, John B. & Jeong, Nara, 2022. "Social institutions approach to women’s firm ownership and firm bribery activity: A study of small-sized firms in emerging markets," Journal of Business Research, Elsevier, vol. 144(C), pages 1333-1349.

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