Figure 1.

Relating mutual information based adjacencies to the Pearson correlation and biweight midcorrelation in simulation. Each point corresponds to a pair of numeric vectors x and y with length m = 1000 . These pairs of vectors were simulated to exhibit different correlations. AUV1, AUV2, cor, bicor are abbreviations for AMI,UniversalVersion1, AMI,UniversalVersion2, Pearson correlation and biweight midcorrelation, respectively. (A) MI-based adjacency AMI,UniversalVersion2 versus absolute Pearson correlation. Spearman correlation of the two measures and the corresponding p-value are shown at the top, implying a strong monotonic relationship. The red line shows the predicted AMI,UniversalVersion2 according to FcorMI(Eq. 18). Note that the prediction function is highly accurate in simulation. (B) Observed AMI,UniversalVersion2 versus its predicted value. The straight line has slope 1 and intercept 0. (C) Observed Pearson correlation (x-axis) and the corresponding bicor values (y-axis). The straight line has slope 1 and intercept 0. These 2 measurements are practically indistinguishable when x and y are normally distributed. (D) AMI,UniversalVersion2 versus bicor. Spearman correlation and p-value of the 2 measurements are presented at the top, and predicted AMI,UniversalVersion2 are shown as the red line. (E) AMI,UniversalVersion2 versus AMI.SymmetricUncertainty. (F) AMI,UniversalVersion2 versus AMI,UniversalVersion1.

Song et al. BMC Bioinformatics 2012 13:328   doi:10.1186/1471-2105-13-328
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