Communications for Statistical Applications and Methods

  • 제15권4호
  • /
  • Pages.597-603
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  • 2008
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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The Calibration for Stratified Randomized Response Estimators

  • Son, Chang-Kyoon (Korea Institute for Health and Social Affairs) ;
  • Hong, Ki-Hak (Department of Computer Science, Dongshin University) ;
  • Lee, Gi-Sung (Department of Childern Welfare, Woosuk University) ;
  • Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota)
  • 발행 : 2008.07.16
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초록

In this paper, we propose the calibration procedure for the valiance reduction of the stratified Warner's randomized response estimators, which suggested by Hong et al. (1994) and Kim and Warde (2004), using auxiliary information at the population level. It is shown that the proposed calibration estimators are more efficient than the ordinary Warner's estimators.

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참고문헌

  1. Cassel, C. M., Sarndal, C. E. and Wretman, J. H. (1976). Some results on generalized difference estimation and generalized regression estimation for finite populations, Biometrika, 63, 615-620 https://doi.org/10.1093/biomet/63.3.615
  2. Deville, J. C. and Sarndal, C. E. (1992). Calibration estimators in survey sampling, Journal of the American Statistical Association, 87, 376-382 https://doi.org/10.2307/2290268
  3. Deville, J. C., Sarndal, C. E. and Sautory, O. (1993). Generalized raking procedures in survey sampling, Journal of the American Statistical Association, 88, 1013-1020 https://doi.org/10.2307/2290793
  4. Fuller, W. A. (1975). Regression analysis for sample surveys, Sankhya C, 37, 117-132
  5. Hong, K., Yum, J. and Lee, H. (1994). A stratified randomized response technique, The Korean Journal of Applied Statistics, 7, 141-147
  6. Isaki, C. T. and Fuller, W. A. (1982). Survey design under the regression superpopulation model, Journal of the American Statistical Association, 77, 89-96 https://doi.org/10.2307/2287773
  7. Kim, J. and Warde, W. D. (2004). A stratified Warners randomized response model, Journal of Statistical Planning and Inference, 120, 155-165 https://doi.org/10.1016/S0378-3758(02)00500-1
  8. Mangat, N. S. (1994). An Improved Randomized Response Strategy, Journal of the Royal Statistical Society, Series B, 55, 93-95
  9. Mangat, N. S. and Singh, R. (1990). An alternative randomized response proceures, Biometrika, 77, 439-442 https://doi.org/10.1093/biomet/77.2.439
  10. Singh, S., Horn, S. and Yu, F. (1998). Estimation of variance of general regression estimator: Higher level calibration approach, Survey Methodology, 24, 41-50
  11. 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/10.2307/2283137
  12. Wright, R. L. (1983). Finite population sampling with multivariate auxiliary information, Journal of the American Statistical Association, 78, 879-884 https://doi.org/10.2307/2288199

피인용 문헌

  1. Calibrated Estimators of Population Mean for a Mail Survey Design vol.44, pp.16, 2015, https://doi.org/10.1080/03610926.2013.841932