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For the level of missingness in these data, 20 imputations are considered sufficient, so 20 imputed datasets were produced using Bayesian imputation methods in MPlus version 6.12.
A Bayesian imputation approach was applied to compute lotion exposure and produce summary statistics.
In this section we examine an approach that combines Bayesian imputation concepts with the frequentist idea of bootstrap sampling Efron (1979) along with the use of the EM algorithm.
When seeking a Bayesian imputation model, we need to take all sources of variability and uncertainty in the imputed values into account in order to yield statistically valid inferences (Rubin, 1987).
A Bayesian imputation approach was employed to account for missing data among the covariates.
This analysis utilized bayesian imputation for missing data both under an assumption that the missing information was missing at random and under plausible assumptions on mechanisms for informative missingness (see supplementary appendix 1).
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BIMBAM v 0.95 is a Bayesian imputation-based association test [19].
In summary, using Bayesian imputation-based analysis on a combined population derived from the three currently available statin GWA trials, we have identified a new candidate gene, calmin, that may modulate statin-mediated changes in total cholesterol and LDLC.
Based on this metric, PCA preserved 51±2%2% of variance in pairwise differences (5 alternative Bayesian imputations of missing data using R package 'Mi').
Based on a comprehensive set of carefully controlled experiments, we conclude that Bayesian multiple imputation and regression imputation are the most effective techniques, while mean imputation performs extremely poorly.
For that purpose, the regression models (described below) were also estimated with data imputed using two approaches, Bayesian multiple imputation techniques, and simple regression techniques and the results were similar to those presented in this paper.
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