Missing value using mash
:
If we want to have reasonable posterior mean, we need to use EE mode. Because in the EZ model, multiplying back the standard errors causes the problem. The missing data have large standard error. It will pruduce huge posteiror mean.
With missing values, the covariance structure learnt from the model is weired sometimes. The weights do not shrink to zero.
Suppose some of the rows in the data are totally missing. With the large errors for those missing values, the EE model ignores the information in those missing positions. In contrast, the EZ model cannot distinguish the nearly 0 z scores caused by the small observed effects from those caused by the large errors.
The weired weights is not caused by the small sample size. Sample Size
It is caused by the large number of conditions.LargeR
The Flash hierarchical model on Movie Lens data: Movie_GTEx
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