3. Underlying Bayesian Theory

  1. Donald B. Rubin

Published Online: 27 MAY 2008

DOI: 10.1002/9780470316696.ch3

Multiple Imputation for Nonresponse in Surveys

Multiple Imputation for Nonresponse in Surveys

How to Cite

Rubin, D. B. (1987) Underlying Bayesian Theory, in Multiple Imputation for Nonresponse in Surveys, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470316696.ch3

Author Information

  1. Department of Statistics, Harvard University

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 9 JUN 1987

ISBN Information

Print ISBN: 9780471087052

Online ISBN: 9780470316696

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Keywords:

  • multiple imputation;
  • regression coefficients;
  • posterior distribution;
  • normal model;
  • posterior mean and variance

Summary

The prelims comprise:

  • Introduction and Summary of Repeated-Imputation Inferences

  • Key Results for Analysis When the Multiple Imputations Are Repeated Draws from the Posterior Distribution of the Missing Values

  • Inference for Scalar Estimands from a Modest Number of Repeated Completed-Data Means and Variances

  • Significance Levels for Multicomponent Estimands from a Modest Number of Repeated Completed-Data Means and Variance-Covariance Matrices

  • Significance Levels from Repeated Completed-Data Significance Levels

  • Relating the Completed-Data and Complete-Data Posterior Distributions When the Sampling Mechanism is Ignorable