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Estimation of Sensitive Proportion by Randomized Response Data in Successive Sampling.

Bo Yu1, Zongda Jin2, Jiayong Tian3

  • 1School of Public Health, Medical College, Soochow University, Suzhou 215123, China ; School of Mathematical Sciences, Dezhou University, Dezhou 253023, China.

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This study improves estimating sensitive attributes using randomized response and successive sampling. This method protects respondent privacy and reduces bias in repeated surveys.

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Area of Science:

  • Statistics
  • Survey Methodology
  • Biostatistics

Background:

  • Estimating sensitive attributes is challenging due to privacy concerns and response bias.
  • Randomized response techniques (RRT) are used to protect respondent confidentiality.
  • Repeated surveys on the same population are common, presenting opportunities for improved estimation.

Purpose of the Study:

  • To enhance the estimation of binomial proportions for sensitive attributes.
  • To leverage successive sampling in conjunction with randomized response techniques.
  • To improve the accuracy of estimates in repeated sensitive surveys.

Main Methods:

  • Application of randomized response techniques to elicit sensitive information.
  • Implementation of a successive sampling scheme for repeated surveys.
  • Statistical methods for estimating binomial proportions under privacy constraints.

Main Results:

  • Successive sampling significantly improves the estimation of sensitive proportions compared to single-stage sampling.
  • The proposed method effectively balances privacy protection with estimation accuracy.
  • Reduced response bias was observed due to the randomized response technique.

Conclusions:

  • Successive sampling is a valuable tool for improving estimates in repeated surveys of sensitive attributes.
  • Randomized response techniques combined with successive sampling offer a robust approach to sensitive data collection.
  • The findings have implications for public health, social sciences, and other fields relying on sensitive survey data.