Fully Bayesian inference under ignorable missingness in the presence of auxiliary covariates.

ABSTRACT: In order to make a missing at random (MAR) or ignorability assumption realistic, auxiliary covariates are often required. However, the auxiliary covariates are not desired in the model for inference. Typical multiple imputation approaches do not assume that the imputation model marginalizes to the inference model. This has been termed "uncongenial" [Meng (1994, Statistical Science 9, 538-558)]. In order to make the two models congenial (or compatible), we would rather not assume a parametric model for the marginal distribution of the auxiliary covariates, but we typically do not have enough data to estimate the joint distribution well non-parametrically. In addition, when the imputation model uses a non-linear link function (e.g., the logistic link for a binary response), the marginalizati

SUBMITTER: Daniels MJ 

PROVIDER: S-EPMC4007313 | biostudies-literature | 2014 Mar

REPOSITORIES: biostudies-literature