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An improved randomized response model: estimation of mean

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  • Christopher Gjestvang
  • Sarjinder Singh

Abstract

In this paper, we suggest a new randomized response model useful for collecting information on quantitative sensitive variables such as drug use and income. The resultant estimator has been found to be better than the usual additive randomized response model. An interesting feature of the proposed model is that it is free from the known parameters of the scrambling variable unlike the additive model due to Himmelfarb and Edgell [S. Himmelfarb and S.E. Edgell, Additive constant model: a randomized response technique for eliminating evasiveness to quantitative response questions, Psychol. Bull. 87(1980), 525-530]. Relative efficiency of the proposed model has also been studied with the corresponding competitors. At the end, an application of the proposed model has been discussed.

Suggested Citation

  • Christopher Gjestvang & Sarjinder Singh, 2009. "An improved randomized response model: estimation of mean," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(12), pages 1361-1367.
  • Handle: RePEc:taf:japsta:v:36:y:2009:i:12:p:1361-1367
    DOI: 10.1080/02664760802684151
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    Citations

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    Cited by:

    1. Tanveer AT & Housila PS, 2017. "An Improved Estimation Procedure of the Mean of a Sensitive Variable Using Auxiliary Information," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(2), pages 26-33, October.
    2. Muhammad Azeem & Sundus Hussain & Musarrat Ijaz & Najma Salahuddin, 2024. "An improved quantitative randomized response technique for data collection in sensitive surveys," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(1), pages 329-341, February.
    3. Cheon-Sig Lee & Shu-Ching Su & Katrina Mondragon & Veronica I. Salinas & Monique L. Zamora & Stephen Andrew Sedory & Sarjinder Singh, 2016. "Comparison of Cramer–Rao lower bounds of variances for at least equal protection of respondents," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 70(2), pages 80-99, May.

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