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Improved estimation methods for unrelated question randomized response techniques

Author

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  • Shen-Ming Lee
  • Ter-Chao Peng
  • Jean de Dieu Tapsoba
  • Shu-Hui Hsieh

Abstract

The randomized response technique (RRT) is an important tool, commonly used to avoid biased answers in survey on sensitive issues by preserving the respondents’ privacy. In this paper, we introduce a data collection method for survey on sensitive issues combining both the unrelated-question RRT and the direct question design. The direct questioning method is utilized to obtain responses to a non sensitive question that is related to the innocuous question from the unrelated-question RRT. These responses serve as additional information that can be used to improve the estimation of the prevalence of the sensitive behavior. Furthermore, we propose two new methods for the estimation of the proportion of respondents possessing the sensitive attribute under a missing data setup. More specifically, we develop the weighted estimator and the weighted conditional likelihood estimator. The performances of our estimators are studied numerically and compared with that of an existing one. Both proposed estimators are more efficient than the Greenberg's estimator. We illustrate our methods using real data from a survey study on illegal use of cable TV service in Taiwan.

Suggested Citation

  • Shen-Ming Lee & Ter-Chao Peng & Jean de Dieu Tapsoba & Shu-Hui Hsieh, 2017. "Improved estimation methods for unrelated question randomized response techniques," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(16), pages 8101-8112, August.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:16:p:8101-8112
    DOI: 10.1080/03610926.2016.1175626
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    Cited by:

    1. Pei-Chieh Chang & Kim-Hung Pho & Shen-Ming Lee & Chin-Shang Li, 2021. "Estimation of parameters of logistic regression for two-stage randomized response technique," Computational Statistics, Springer, vol. 36(3), pages 2111-2133, September.
    2. 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.

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