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Note that our method shrink the regression coefficient matrix B based on the predefined groups of SNPs and traits.
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The soft-thresholding method shrinks the IMF samples towards zero as follows: (5).
Actually, the least core method shrinks the core space simultaneously from each side of boundary until a single point (imputation) is achieved.
Thus, the BER method shrinks the EBV too much towards the mean.
This method shrinks the estimate toward the overall mean, considers the strength of the information about a hospital's true rate relative to the variation across hospitals, and allows estimates from hospitals with small sample sizes[ 14].
In the Supplementary Material, we use multiple proteomic and metabolomic datasets to compare the results obtained from the PPLR method with the eBayes approach, a modification of the classical t-statistic using an empirical Bayes method to shrink the estimated sample variances towards a pooled estimate, providing a more stable inference for small numbers of samples (Smyth, 2004).
P-values for each method were calculated by the moderated F-statistic which stabilizes the gene-specific variance using an empirical Bayes method to shrink the probe-wise sample variances toward a common value and to augment the degrees of freedom for the individual variances [ 35].
An empirical Bayes method to shrink the probe-wise sample variances towards a common value was utilised.
aNumber of microarray elements determined to be significant on the array using the empirical Bayes method to shrink the gene-wise error estimate in cadmium treated vs. control Daphnia pulex (P < 0.05).
A moderated t statistic was computed using an empirical Bayes method to shrink the probe-wise sample variances towards a common value and to augment the degrees of freedom for individual variances [ 40].
Therefore, we devised a new construction method "shrink fitting method by high-frequency induction heating", and optimized construction method by applying dynamic characteristic evaluation in robust design which can efficiently evaluate the feasibility of the construction method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com