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The accuracy was evaluated through both parametric (Pearson, top) and a-parametric (Spearman, bottom) correlation coefficients to avoid bias due to potential non-linear relationships of enrichment scores31.
The main reason for this choice is that the highest values capture the salient information (e.g. edges) in the images and a weighted average of low frequency coefficients to avoid the effects of noises.
Samples with more than one reference genes deemed as outliers were removed from calculating the regression coefficients to avoid outlier effect.
For each of the four measures of U-Hg, we evaluated correlations between the U-Hg measure and each of the eight amalgam exposure measures using Spearman's rank correlation coefficients to avoid linearity assumptions; results were similar using Pearson correlation coefficients.
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Measured results indicated that MHCM effectively helps to ensure the correct determination of the maximum correlation coefficient, to avoid random errors caused by other factors and improves the measurement accuracy in the meanwhile.
κ is the regularization weighting coefficient to avoid overfitting.
We have changed diffusion "constant" to diffusion "coefficient" to avoid confusion.
The correlations between the measured characters were verified using Pearson's correlation coefficient to avoid the most redundant ones.
Warning messages flag an increase in the coefficient of variation to avoid infeasibility for the top left case and changes to uniform distributions in the middle and lower left cases.
Correlation between the intensities of all transcripts and the corresponding beta actin ratios was investigated (Spearman rank correlation coefficient was used to avoid outlier effects).
33 We multiplied the predictor coefficients with uniform "shrinkage factors" to avoid exaggerated model coefficients (see supplementary appendix C for details).
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