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A two-stage stratified Warner’s randomized response model using optimal allocation

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  • Jong-Min Kim
  • M. E. Elam

Abstract

This paper applies Kim and Warde’s (2004) stratified Warner’s randomized response model to Mangat and Singh’s (1990) two-stage randomized response model. The proposed stratified randomized response model has an optimal allocation and a large gain in precision. Hence, the estimator based on the proposed method is more efficient than Kim and Warde’s (2004) and Mangat and Singh’s (1990) estimators under the conditions presented in both the case of completely truthful reporting and that of not completely truthful reporting by the respondents. Copyright Springer-Verlag 2005

Suggested Citation

  • Jong-Min Kim & M. E. Elam, 2005. "A two-stage stratified Warner’s randomized response model using optimal allocation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(1), pages 1-7, February.
    • Handle: RePEc:spr:metrik:v:61:y:2005:i:1:p:1-7
    DOI: 10.1007/s001840400319
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    Citations

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    Cited by:

    1. Sally Abdelfatah & Reda Mazloum, 2016. "An efficient two-stage randomized response model under stratified random sampling," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(4), pages 222-238, October.
    2. Tanveer A. Tarray & Housila P. Singh & Zaizai Yan, 2017. "A Dexterous Optional Randomized Response Model," Sociological Methods & Research, , vol. 46(3), pages 565-585, August.
    3. Kuo-Chung Huang, 2008. "Estimation for sensitive characteristics using optional randomized response technique," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 679-686, October.
    4. Jong-Min Kim & Matthew Elam, 2007. "A stratified unrelated question randomized response model," Statistical Papers, Springer, vol. 48(2), pages 215-233, April.
    5. Housila P. Singh & Tanveer A. Tarray, 2015. "An Efficient Alternative Mixed Randomized Response Procedure," Sociological Methods & Research, , vol. 44(4), pages 706-722, November.
    6. Oluseun Odumade & Sarjinder Singh, 2010. "An Alternative to the Bar-Lev, Bobovitch, and Boukai Randomized Response Model," Sociological Methods & Research, , vol. 39(2), pages 206-221, November.
    7. Jun-Wu Yu & Guo-Liang Tian & Man-Lai Tang, 2008. "Two new models for survey sampling with sensitive characteristic: design and analysis," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(3), pages 251-263, April.

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