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However, in practical problems the parameters of distribution are unknown and can only be estimated from random samples.
Four additional trees (not shown) were estimated from random samples of 57 cell types, and all of them were similarly consistent with the tree in Fig. 2. Supplementary Fig. 2 Reductions in entropy per site due to selection plotted as a function of estimated ρ for the 61 classes.
However, if the discordance in expression-based ER classification is due to real biological differences, the corresponding hazard ratio should be statistically significant compared to hazard ratios estimated from random flipping of original IHC ER calls.
For each of the five populations, relationship matrices were estimated from random subsets of markers, with the shrinkage intensity chosen to minimize the expected MSE.
Three of the 12 loci tested had an observed R ST greater than that estimated from random (pR ST, supplementary information).
However, the distribution of score magnitudes did not change much, and the false discovery rates [ 9], estimated from random sample label permutations, gave also very similar results for the two approaches (data not shown).
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Since τ2 is approximately 0.5 (estimated from random-effects meta regression, random-effects logistic regression and Bayesian approaches), which is not close to zero, our results are stable when using inverse-gamma prior with different choices of the parameter ε.
Pooled relative risk estimates from random effect models are presented.
H, the ratio of Q to its degrees of freedom, may be roughly interpreted as the ratio of confidence interval widths for single summary estimates from random effect and fixed effect meta-analyses.
Results showed that considerable gains in TopNet model performance could be made when TopNet time-series were corrected using flow duration curves estimated from Random Forests.
The number of correlate pairs measured in this analysis was too many to readily assess for estimation of q values, so q values were estimated from ten random samplings of the gene expression and GI50 data sets.
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Justyna Jupowicz-Kozak
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