Communications for Statistical Applications and Methods

  • 제14권1호
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  • Pages.121-131
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  • 2007
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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A Closed-Form Bayesian Inferences for Multinomial Randomized Response Model

  • Heo, Tae-Young (Electronics and Telecommunications Research Institute) ;
  • Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota-Morris)
  • 발행 : 2007.04.30
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초록

In this paper, we examine the problem of estimating the sensitive characteristics and behaviors in a multinomial randomized response model using Bayesian approach. We derived a posterior distribution for parameter of interest for multinomial randomized response model. Based on the posterior distribution, we also calculated a credible intervals and mean squared error (MSE). We finally compare the maximum likelihood estimator and the Bayes estimator in terms of MSE.

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참고문헌

  1. Bar-Lev, S. K., Bobovich, E. and Boukai, B. (2003). A common conjugate prior structure for several randomized response models. Test, 12, 101-113 https://doi.org/10.1007/BF02595813
  2. Kim, J.-M. and Warde, W. D. (2005). Some new results on the multinomial randomized response model. Communications in Statistics: Theory and Methods, 34, 847-856 https://doi.org/10.1081/STA-200054378
  3. Kim, J.-M., Tebbs J. M. and An, S.-W. (2006). Extensions of Mangat's randomized-response model. Journal of Statistical Planning and Inference, 136, 1554-1567 https://doi.org/10.1016/j.jspi.2004.10.005
  4. Liu, P. T. and Chow, L. P. (1976). New discrete quantitative randomized response model. Journal of the American Statistical Association, 71, 72-73 https://doi.org/10.2307/2285733
  5. 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