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Modeling Evasive Response Bias in Randomized Response: Cheater Detection Versus Self-protective No-Saying.

Khadiga H A Sayed1,2, Maarten J L F Cruyff3, Peter G M van der Heijden3,4

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This study introduces new models for the "ever/last year" randomized response design to better account for evasive answers in sensitive surveys. These advanced statistical models improve data accuracy for sensitive topics like doping use.

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Area of Science:

  • Statistics
  • Survey Methodology
  • Social Sciences

Background:

  • Randomized response techniques (RRT) aim to reduce bias in sensitive surveys.
  • Existing models (cheater detection, self-protective no sayers) partially address evasive responses.
  • A need exists for models that integrate different bias types within novel RRT designs.

Purpose of the Study:

  • To establish the correspondence between existing RRT bias models.
  • To develop and introduce new statistical models for the hybrid "ever/last year" RRT design.
  • To account for both self-protective no-saying and cheating behaviors in the "ever/last year" design.

Main Methods:

  • Demonstrated the correspondence between the cheater detection and self-protective no sayers models.
  • Developed novel statistical models for the "ever/last year" RRT design, including extensions.
  • Utilized two empirical surveys on doping use to illustrate the proposed models.

Main Results:

  • The proposed models for the "ever/last year" design allow for the inclusion of response bias parameters.
  • Models with increased degrees of freedom were developed for more complex "ever/last year" designs.
  • The models effectively illustrated bias patterns in doping use surveys.

Conclusions:

  • The "ever/last year" design offers a flexible approach to studying sensitive topics.
  • The developed models enhance the ability to quantify and correct for response biases in RRT.
  • This research provides a foundation for future methodological advancements in sensitive survey research.