Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Estimating a Binomial Proportion with Bayes Estimated Imputed Conditional Means

  • Shin, Min-Woong (Department of Statistics, Hankook University) ;
  • Lee, Sang-Eun (Department of Applied and Information Statistics, Kyonggi University)
  • Published : 2002.04.01
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Abstract

The one of analytic imputation technique involving conditional means was mentioned by Schafer and Schenker(2000). And their derivations are based on asymptotic expansions of point estimator and their associated variance estimator, and the result of imputation can be thought of as first-order approximations to the estimators. Specially in this paper, we are presenting the method of estimating a Binomial proportion with Bayesian approach of imputed conditional means. That is, instead of using maximum likelihood(ML) estimator to estimate a Binomial proportion, in general, we use the Bayesian estimators and will show the result of estimated Imputed conditional means.

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References

  1. Multiple Imputation for Nonresponse in Survey Donald B. Rubin
  2. Inference With Imputed Conditioned Means JASA v.95 no.449 Joseph L. Schafter;Nathaniel Schenker
  3. Bayesian Statistics: An Introduction Lee, P. M
  4. Applied Multivariate Analysis: Using Bayesian and Frequentist Methods of Inference Press, S. J.
  5. Statistical Analysis with missing data R. J. K. Little;Donald B. Rubin