응용통계연구 (The Korean Journal of Applied Statistics)

  • 제25권3호
  • /
  • Pages.447-456
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  • 2012
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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An Additive Quantitative Randomized Response Model by Cluster Sampling

  • Lee, Gi-Sung (Department of Children Welfare, Woosuk University)
  • 투고 : 2012.03.27
  • 심사 : 2012.04.30
  • 발행 : 2012.06.30
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초록

For a sensitive survey in which the population is comprised of several clusters with a quantitative attribute, we present an additive quantitative randomized response model by cluster sampling that adapts a two-stage cluster sampling instead of a simple random sample based on Himmelfarb-Edgell's additive quantitative attribute model and Gjestvang-Singh's one. We also derive optimum values for the number of 1st stage clusters and the optimum values of observation units in a 2nd stage cluster under the condition of minimizing the variance given constant cost. We can see that Himmelfarb-Edgell's model is more efficient than Gjestvang-Singh's model under the condition of cluster sampling.

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참고문헌

  1. Ahn, S. C. and Lee, G. S. (2002). The best choice of subsample size for the two-stage cluster unrelated question technique, Journal of The Korean Data Analysis Society, 4(4B), 397-407.
  2. Eichhorn, B. H. and Hayre, L. S. (1983). Scrambled randomized response methods for obtaining sensitive quantitative data, Journal of Statistical Planning and Inference, 7, 307-316. https://doi.org/10.1016/0378-3758(83)90002-2
  3. Gjestvang, C. R. and Singh, S. (2009). An improved randomized response model: Estimation of mean, Journal of Applied Statistics, 36, 1361-1367. https://doi.org/10.1080/02664760802684151
  4. Himmelfarb, S. and Edgell, S. E. (1980). Additive constant model: A randomized response technique for eliminating evasiveness to quantitative response questions, Psychological Bulletin, 87, 525-530. https://doi.org/10.1037/0033-2909.87.3.525
  5. Lee, G. S. (2006). A study on the randomized response technique by PPS sampling, The Korean Journal of Applied Statistics, 19, 69-80. https://doi.org/10.5351/KJAS.2006.19.1.069
  6. Lee, G. S. and Hong, K. H. (2003). Unrelated question model with quantitative attribute by three-stage cluster sampling, Journal of The Korean Data Analysis Society, 5(1B), 85-99.
  7. Lee, G. S., Ryu, J. B., Hong, K. H. and Son, C. K. (2007). A study on two-stage cluster Mangat-Singh model, Journal of The Korean Data Analysis Society, 9(4B), 1801-1810.
  8. Warner, S. L. (1965). Randomized response; A survey technique for eliminating Evasive Answer Bias, Journal of the American Statistical Association, 60, 63-69. https://doi.org/10.1080/01621459.1965.10480775