Bayesian Analysis of Randomized Response Models : A Gibbs Sampling Approach

  • Oh, Man-Suk (Department of Statistics, Ewha Womens University, Sodaemun-gu, Seoul 120-750)
  • Published : 1994.12.01

Abstract

In Bayesian analysis of randomized response models, the likelihood function does not combine tractably with typical priors for the parameters of interest, causing computational difficulties in posterior analysis of the parameters of interest. In this article, the difficulties are solved by introducing appropriate latent variables to the model and using the Gibbs sampling algorithm.

Keywords

References

  1. Journal of the American Statistical Association v.88 Bayesian Analysis of Binary and Polychotomous Response Data: A Gibbs Sampling Approach Albert,J.;Chib,S.
  2. Randomized Response: Theory and Techniques Chaudri,A.;Mukerjee,R.
  3. Ph.D.Thesis Randomized Interviews for Sensitive Questions Eriksson,S.
  4. Journal of the American Statistical Association v.85 Sampling Based Approaches to Calculating Marginal Densities Gelfand,A.;Smith,A.F.M.
  5. Journal of the American Statistical Association v.87 Bayesian Analysis of Constrained Parameter and Truncated Data Problems Using Sampling Gelfand,A.;Smith,A.F.M.
  6. Statistical Science v.7 Interence from Interative Simulation Using Multiple Sequences Gelman,A.;Rubin,D.B.
  7. Statistical Science v.7 Practical Markov Chain Monte Carlo Geyer,C.
  8. Journal of the American Statistical Association v.64 The Unrelated Question Randomized Response Model Greenberg,B.G.;Abul-Ela;Abdel-Latif,A.;Simmons,W.R.;Horvitz,B.G.
  9. Proceedings of the Social Statistics Section The Unrelated Randomized Response Model Horvitz,D.G.;Shah,B.V.;Simmons,W.R.
  10. Biometrika v.77 An Alternative Randomized Response Procedure Mangat,N.S.;Singh,R.
  11. Journal of the American Statistical Association v.82 Bayes Linear Estimators for Randomized Response Models O'Hagan,A.
  12. Psyschological Bulletin v.87 Bayesian Analysis of Random Response Models Pitz,G.F.
  13. Journal of the American Statistical Association Facilitating the Gibbs Sampler: The Gibbs Stopper and the Griddly Gibbs samper Ritter,C.;Tanner,M.A.
  14. Journal of the American Statistical Association v.60 Randomized Response: A Survey Technique for Eliminating Evasive Answer Bias Warner,S.L.
  15. Journal of the American Statistical Association v.74 Warner's Randomized Response Model: A Bayesian Approach Winkler,R.L.;Franklin,L.A.