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However, the solutions obtained from LAD are unstable, in the sense that small variations in data might result in large variations of the inferred parameters, that is, least squares are a more stable inference method.
In particular, an empirical Bayes method was employed to moderate the standard errors of the estimated log-fold changes, resulting in more stable inference and improved power (9).
The limma package uses an empirical Bayes approach to create a moderated t-statistic by shrinking the estimated sample variances towards a pooled estimate thereby allowing more stable inference than an ordinary t-statistic when the sample size is small.
The residual standard deviations are moderated across the probe sets to ensure more stable inference for each transcript.
This approach results in more stable inference and improved power, especially for experiments with small numbers of arrays [ 28].
It results in a more stable inference and improved power, especially for experiments with small numbers of microarrays.
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LIMMA uses an empirical Bayes approach that uses the variability in all genes for testing for signficiant differences, with this approach resulting in more stable inferences for a relatively small number of arrays [12], [13].
The core of LIMMA is an implementation of the empirical Bayes linear modeling approach, and provides more stable inferences about differential expression.
EB methods are primarily designed to "borrow information" from a certain number of genes and/or experimental conditions in order to obtain better estimates or more stable inferences for the expression of all genes.
The results from the Bayesian inference were more stable and reliable.
A more stable QTL has a wider inference space and can be used in plant breeding across all environments.
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